{VERSION 6 0 "IBM INTEL NT" "6.0" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 1 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 0 0 1 }{CSTYLE "Hyperlink" -1 17 "" 0 1 0 128 128 1 2 0 1 0 0 0 0 0 0 1 }{CSTYLE "2D Output" 2 20 "" 0 1 0 0 255 1 0 0 0 0 0 0 0 0 0 1 } {CSTYLE "" -1 256 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 257 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 258 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 259 "" 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 260 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 261 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 262 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 263 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 264 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 265 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 266 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 267 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 268 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 269 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 270 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 271 "" 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 272 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 273 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 274 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 275 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 276 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 277 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 278 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 279 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 280 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 281 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 282 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 283 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 284 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 285 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 286 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 287 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 288 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 289 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 290 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 291 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 292 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 293 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 294 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 295 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 296 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 297 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 298 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 299 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 300 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 301 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 302 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 303 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 304 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 305 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 306 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 307 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 308 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 309 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 310 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 311 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 312 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 313 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 314 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 315 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 316 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 322 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 323 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 324 "" 1 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 325 "" 1 24 0 0 0 0 0 1 0 0 0 0 0 0 0 0 } {PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Heading 2" -1 4 1 {CSTYLE "" -1 -1 "Times" 1 14 0 0 0 1 2 1 2 2 2 2 1 1 1 1 }1 1 0 0 8 2 1 0 1 0 2 2 0 1 }{PSTYLE "Heading 3" -1 5 1 {CSTYLE "" -1 -1 "Times " 1 12 0 0 0 1 1 1 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 } {PSTYLE "Warning" -1 7 1 {CSTYLE "" -1 -1 "Courier" 1 10 0 0 255 1 2 2 2 2 2 1 1 1 3 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Maple Output " -1 11 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 } 3 3 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Maple Plot" -1 13 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }3 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Bullet Item" -1 15 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }1 1 0 0 3 3 1 0 1 0 2 2 15 2 }{PSTYLE "Head ing 4" -1 20 1 {CSTYLE "" -1 -1 "Times" 1 10 0 0 0 1 1 1 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Normal" -1 256 1 {CSTYLE " " -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }3 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Normal" -1 257 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 1 1 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Normal " -1 258 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 1 2 2 2 2 2 1 1 1 1 } 1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Normal" -1 259 1 {CSTYLE "" -1 -1 "Times" 1 10 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Normal" -1 260 1 {CSTYLE "" -1 -1 "Times" 1 14 0 0 0 1 2 1 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Normal" -1 261 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Heading 2" -1 262 1 {CSTYLE "" -1 -1 "Times" 1 14 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }1 1 0 0 8 2 1 0 1 0 2 2 0 1 }{PSTYLE "Bullet Item" -1 263 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 1 2 2 2 2 1 1 1 1 }1 1 0 0 3 3 1 0 1 0 2 2 15 2 }{PSTYLE "Normal " -1 264 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 1 2 2 2 2 2 1 1 1 1 } 3 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "zakyn" 264 265 1 {CSTYLE "" -1 -1 "" 0 0 0 0 0 0 2 2 2 0 0 1 0 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "" 265 266 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }} {SECT 0 {EXCHG {PARA 265 "" 0 "" {TEXT 325 35 "Matematick\351 v\375po \350ty se syst\351m Maple" }}}{EXCHG {PARA 266 "" 0 "" {TEXT -1 77 "au tor: Ing. Vladim\355r \216\341k\n email: zakyn@centrum.cz\n \+ web: " }{URLLINK 17 "www.vladimirzak.com/maple" 4 "www.vlad imirzak.com/maple" "" }}{PARA 265 "" 0 "" {TEXT -1 0 "" }}{PARA 265 " " 0 "" {TEXT -1 12 " " }{TEXT 323 9 "recenzent" }{TEXT -1 3 ": " }{TEXT 322 31 "Prof. RNDr. Ji\370\355 H\370eb\355\350ek, CSc. " }}{PARA 265 "" 0 "" {TEXT -1 48 "CENTRUM BIOSTATISTIKY A ANAL\335Z ( CBA LF a P\370F MU)" }}{PARA 265 "" 0 "" {TEXT -1 43 "L\351ka\370sk \341 a P\370\355rodov\354deck\341 fakulta MU v Brn\354" }}{PARA 265 " " 0 "" {TEXT -1 20 "hrebicek@cba.muni.cz" }}{PARA 265 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 265 "" 0 "" {TEXT -1 478 "Tento dokument je ur \350en jen pro v\375ukov\351 \372\350ely a pro pou\236it\355 jen osoba mi, kter\375m byl tento dokument poskytnut p\370\355mo autorem, pop \370. si ho st\341hli z webov\351ho s\355dla autora. Jak\351koliv \350 \341sti dokumentu nen\355 mo\236n\351 pou\236\355t bez citace zdoje, t edy n\341zvu dokumentu a jm\351na autora s kontaktn\355mi informacemi \+ (jak je zobrazeno v hlavi\350ce), kter\341 mus\355 b\375t autorovi sd \354lena. Pro jin\351 pou\236it\355 ne\236 pro osobn\355 pot\370eby os ob, tedy pro distribuci \350i kop\355rov\341n\355, je nutn\351 obdr \236et p\355semn\375 souhlas autora. " }}{PARA 265 "" 0 "" {TEXT -1 0 "" }}{PARA 265 "" 0 "" {TEXT -1 0 "" }{TEXT 324 59 "Soubor vznikl s po dporou grantov\351ho projektu FRV\212 3323/2006" }{TEXT -1 0 "" }}} {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 4 "" 0 "" {TEXT -1 18 "Aplikace \+ integr\341lu" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 55 "Tento odstavec se \+ v\354nuje aplikac\355m Riemannova integr\341lu" }}}{SECT 1 {PARA 5 "" 0 "" {TEXT -1 23 "Obsah rovinn\375ch obrazc\371" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 6 "Nech\235 " }{TEXT 256 4 "g(x)" }{TEXT -1 2 "a " } {TEXT 257 4 "h(x)" }{TEXT -1 34 " jsou funkce spojit\351 na intervalu \+ " }{OLE 1 4150 1 "[xm]Br=WfoRrB:::wk;nyyI;G:;:j::>:B>N:F:nyyyyy]::yyyy yy:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::fyyyyya:nYf::G:jy;::::::::::::::::::::::::::::::::::::::::::::::::: ::::::::::::::::::::::::::::::JcvGYMt>^:fBWMtNHm=;:::::::n:;`:Z@[::JRlrQTnfln]Aj;J:QZ:B:F:YLpfF>:::::::::J?NZ;vyyyyyY:vYxY: B:::::::c:;:ElrfH=MtFGYMq>>Wlj:gmlJ::::::>>?jyyiy=J:B::::::F:;J;@J:B:F :AlqfG[maNFO=;::::::::_J;Zy=J:B::::::f:FG;J:JyyI?Z:VZ:>:C:W:G:wAK:M:OJ :V;^;f;;jA>:wA[J:FCRMcDBEDXceV=MC>[[v_?wk >w_;?dnA\\IvbYGbJOxYn];?dni\\IFb:^x?_x_^xIPbYGB<[=we;kAQNteli\\NtyrZZ=R:D Z=HF?J;m\\:;H:<:TNE>:UTRcETcTX[US ;SGWCF;SK]UW=EWMuUWM@B::P`?oBY:ETV:WCKaTML]nIalHH;B:;:Zymy;:::AB::;j<>Z:NZ;N:YLpJbNHEms>@[C:>Z:::: ::::kJ;@j:>Z:NZ:>Z:vyyuy;Z::::::j=B:Wu:B:F:Y<>Z:>:::::::::J?:<::::::::=J:f :FZj<>n=V<;JMTjA^=yayAZ:fc:><HKJ:Nyb;FCE:cJZ@:jC ^^B:aJL^xn;fk;^=Z: b:;B>cTTUUSZZ:WE:iWkIxW;XkIxW;CjOxW;JR^:;jPF:MJ:N`DZ:FZ:JP`a=fZ:JDj]_= ;jw;<:[V:=B:;J:D:js::JZsW;;;:jPN:;J:::::::::::^:>x;F:O:_;:=eROT:nI n>NXUTRZ_gdOoVER:BKRGv_?;LYBxj]B N_ALyDB:P>:<[=SJvk?cDr]\\IFBZYgB@>B:=b:?J;<:=j:VZ:F:CZDFZ: J:HJ:@ZZ:V;n>^;yayI:>:>;NY>Z::^:<::::::::::::::::::::::::::::::::::1:" }{TEXT -1 10 " a plat \355 " }{OLE 1 4150 1 "[xm]Br=WfoRrB:::wk;nyyI;G:;:j::>:B>N:F:nyyyyy]: :yyyyyy::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: ::::::::fyyyyya:nYf::G:jy;:::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::JcvGYMt>^:fBWMtNHm=;:::::::n:;`:Z@[::JRlrQTnfln]Aj;J:QZ:B:F:YLpfF>:::::::::J?NZ;vyyyyyY: vYxY:B:::::::c:;:ElrfH=MtFGYMq>>Wlj:gmlJ::::::>>?jyyiy=J:B::::::F:;JA@ :<:=j[vGUMrvC?MoJ::::::::JCN:ry:>:<::::::E:MM:>:nyyM;B:AB:;J:wA[J:Fk>^;>:::::::s:?Jd@Vs?:; St_:;J@nNkIt_j<@Z?BKaTMcTGZK^ZG_dZfbr_hlGF_J>@lQP nAMnQ@NbLYBxj]xoZHni@>YVKciDyDLcy]=D:< [:_xIHby?cnA\\IFbdve>we?_xYgB@nAlj:F:=b:?b:?B:?j:@j:V:=JnjvBI?j;]`::::::yayYZ:J;j<>Z:NZ;N:YLpJbNHEms>@[C:>Z::::::::kJ;@j :>Z:NZ:>Z:vYxY:B::::::v:Z:>:::::::::J?bAV<^;UTR:;Jbf:DZ:b:E:cb:;U:OS:sZ:Vy<>jx]:JBA:;B:DJ:@C:US:f;N`DZ:^:>_c>_c>d;^r<>d;r:EB:^<^CsJ:VYZ:JBGZ:B:; b::a=::;`q?>>::Uk:^:>x;B:U:_;Z;>Z >?:::::::::>@jP>:C:[q:F;;J Sd:Z:^ass:C>G;wI:UTR^DPpdPOsg:PZ>[oB:a:l@::FH>:>: j\\jjNYVKd<>=tYKLBxjZjirQE\\;;:Q:G;Sjysy=:;:sZ:V Y[j=B:;JXEZ:bu=b:?bBaTXaEWEUUB:OB:=K?AZ:B:=J:^``QZ:>::::WTJWTLB::::::::::::::::::::::::::::::::::5:" }{TEXT -1 5 " n a " }{OLE 1 4150 1 "[xm]Br=WfoRrB:::wk;nyyI;G:;:j::>:B>N:F:nyyyyy]::y yyyyy::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: ::::::fyyyyya:nYf::G:jy;:::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::JcvGYMt>^:fBWMtNHm=;:::::::n:;`:Z@[::JRlrQTnfln]Aj;J:T:<:=ja^GE=;:::::::::N;?R:yyyyyyA:yay A:<::::::JDJ:j\\FHemj^HMmqnG;KaFFJufF>::::::;K;vyyuy:>:<::::::=J:v\\;B :<:=j[vGUMrvC?MoJ::::::::JCN:ry:>:<::::::EJ:FG;J:JyyI?Z:VZ:>:C:W:G:wAK :M:OJ:V;^;f;;jA>:wA[J:F:iB:ZK^ZG_dZfbr_hlG F_J>@lQPnAMnQ@NbLYBxj]xoZHni@>YVKciDyD Lcy]=D:<[:_xIHby?cnA\\IFbdve>we?_xYgB@nAlj:F:=b:?b:?B:?j:@j:V:=J=Jyyy;d:yayYZHQ:r:B:bKgJ:fc[_hb _ds?h_?^on_j>^?GhoGfnGgioGSZ::RSPN]v;fbk;n_>WdGCGLyVDur>Z:>::::::yayYZ :B:CZ:F:;jysy?:;:=CD_mlVH[KR<:;B :::::::JFNZ;F:;B:?B:;B:yayA:<::::::I:[y:B:F:Y<>Z:>:::::::::J?:<::::::::=J: f:FZryMLyyyyYJXJ :^^HKJ:b;FCE:cJZ@:j C^^B:aJL^xn;fk;^=Z :b:;B>cTTUUSZZ:WE:iWkIxW;XkIxW;CjOxW;JR^:;jPF:O:_c:;b:<;VH::>RXQJJ::f??J;c:HrjNZ>njZO^sP:AfRa?^=;jw;<:[N:R:;b:;B>aTXDpql`q?B:mGEHj>=:G;IR:UTRc=PpdPowgZ;Z>[ oB:arOBU::jB^DPps:JqFBw[j]BN_ALyDB:P>:<[=SJv k?cDr]\\IFBZYgB@>B:=b:?J;<:=j:VZ:F:CZDFZ:J:HJ:@ZHrjB;:AfR:;:K:oA<:J:sg: bu=b:?bBaTXaEWEUUOV:<::::::::::::3:" }{TEXT -1 10 ". Ozna\350me " }{OLE 1 5686 1 "[xm]B r=WfoRrB:::wk;nyyI;G:;:j::>:B>N:F:nyyyyy]::yyyyyy::::::::::::::::::::: ::::::::::::::::::::::::::::::::::::::::::::::::::fyyyyyA;nY^:f:n:v:F; nYnyyyYyA::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::_lqvGcMJ:::::::JEf:yyyxIN:R<:T>< ::[C]YcKmDMIX:A:;v:::::::::J?NZ;vyyyyy=J:B:::::::c:;:=j[vGU MrvC?MoJ::::::::JCNZ;F:VZ:>:yayA:<::::::=J:FG>:N:YLpJbNHEms>@[;;B::::: ::JFNZ;vYxY:W:YJ :><:a:c:e:gJ:v<>=;jFJGjGJHjHJIjIJJ::r:eC;^:iA;jryMLyyyyYZp;Cg:V[:>:G;Sj`@@J:D:;b:E:cb:sY:Sx:sZ:Vy:[V:ZaTXUeRYEUXQZB:eV;ObmiWkIx W;XkIxW;CjOxW;JR^:;B:US:F[:>Z:N`DJ:Z:>_sC:E:c:Ug;s:qAB:;JBA:@Z<:vG Z:^^@N[mwp?yR;`q?>>:^:f?=JeJHjw;l;Z;b: :Y=B:e^Iyp?yR;`q?>>:^:f?;JZ:>?f:^<^iJ^=;jw;l;Z;b: :Y=B:C[nwp?yR;`q?>>:^:f?=J;:DJ<<:UK:f:^ s:qAJ:>l;J:@Z<:vGZ:fL?f:^l;Z;b::Y=B:Cc;PqUQv]?RXQJJ:J>Z:N`DZ:F:;jNj:[V:R:D:jq:X=j>>Z:N`DZ:F:;jw`AE:c:AGAs:qAB:;JBA:@Z<:vGZ:^>TqUQv]?RXQJJ:JZ:JBA::cTTPps>::UK;^:>X=j>>Z:N@B:=:_SXsW:E:cJjAjOPJH>:qQ:uI<:[V:B:D::::>R XQJJ::f?=Jd;^]?>d;r:EB:^<@JZ^=VYZ:JBG:;J :D:js::JZsW;;;:jPN:C:[Y:=JFJSZ:V;fcrGi[?i\\wfrGib?i:fa>Nf;Fc?>eZRXQJNS;JR:UK;^:>X=J?JSZ:N:;j\\DM;@Z=vXWdGSGV\\QGghGbf_gCRMcDBEDXceV=MC>[[v_?wk>w_;?dnA \\IvbYGbJOxYn];?dni\\IFb:^x?_x_^xIPbYGB<[=we;kAQNteli\\NtyrZi:NZ:Njfb:HrvBvi>@x?OZ>vi:vxlV:qZEF:?J>E]:FZ;>ZDV:CR:@J:H:AZ:N:AVRDJ<^ f\\VnZ=xF?J;]\\ZZ:V[:B:G;Sjysy=:;:K:oQ:>Z::^:`XC:Uk;^Z:Jr OZ:VZ:>Z:>::::WTJWTLB:yW:<>iyq=EU\\:;Y;Bw[j\\>WD: ==nHE]:>::::::;C:?jyyiy=J:B::::::n^:>:cY:>Z:::::::::::::yay=J:B::::::: ::::::::::::jysy:>:<:::::::::::::::::::vYxI:;Z::::::::j]xoZZ=Hi:>Z<<:AjGr<=:K^:F: ;bi:B;:DP:NZ:nlbJ:F?rC`GH:;J:HrmJ;]ZZ:>d:NHYmmNH=mpnBMMp fFamXVBoC:sLb<:Y=FF>>GD::>Z:VDED:alcFCYLanC=l`fBu;YE:WmsvGS=;B:FIaMtff :fGCLsFGg=u;oK::::::::::3:" }{TEXT -1 20 ". Pak obsah obrazce " } {TEXT 258 1 "M" }{TEXT -1 10 " je roven " }{OLE 1 5174 1 "[xm]Br=WfoRr B:::wk;nyyI;G:;:j::>:B>N:F:nyyyyy]::yyyyyy:::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::fyyyyya:nYf::G:I:K:wAyA:::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: ::::JcvGYMt>^:fBWMtNHm=;:::::::n:;`:Z@[::JbEkRTnfln]A j;JZ\\:<:=ja^GE=;:::::::::N;?R:yyyyyyA:yayA:<::::::JDJ:j\\FHemj^HMmqnG ;KaFFJufF>::::::;K;vyyuy:>:<::::::=J:nf;B:<:=j[vGUMrvC?MoJ::::::::JCN: ry:>:<::::::EJ:FG;J:JyyI?Z:VZ:>:CJ:n;n:nY>;F;N;;j?J@j@>:[B::wA]:_J :V<^>aLnvG[MJ>D_mq>>eKJFCUmj vFEm>^=N:cTjOT:>^cQ<CRM cDBEDXceV=MC>[[v_?wk>w_;?dnA\\IvbYGbJOxYn];?dni\\IFb:^x?_x_^xIPbYGB<[= we;kAQNteli\\NtyrZ:;H: <:TNE>:UTRcETcTX[US;SGWCF;SK]UW=EWMuUWM@B::P`?oBY:ETV:WCKaTML]nIalHHrxfx>Z=frP<:EJ :`:J:<:::::::>=?R:=Z:NZ:>Z:vYxY:B::::::v:Z:j :vCJ:>:::::::::J?:<::::::::=J:f:FZn>>vIV\\:JMTj A^=yyyxY:ryyY;w=>f>j?<:G;Sj`@@J:R:E:Mb:tyk?:;JBA:@J:DZJVdsgGl`q?B@CZ:f_;j>l;Z;b::Y=B:KY;OrciWkIPZsW;;;:C:Uk:^:>x;B :MJ:>::U K:^:>Z;VZ:F:?j;]`<>Z<@?Vjr?Z?Vjr[I ;r<=J;RRFZ:Z\\k@DJ:::::[q:\\>d;^ r<>d;r:EB:;JDFWMU;sJ:VY?sy>Z:JBAj:J:DZJ:a=::;`q?^:M::f?=J:;b::::JZsW;;;:jP>:C:[q:F;;JSZ:F::qQ:[:JBA:;J:D::::>RXQJJ::f?=J;;B:[TMKEXIEXCE XGV:kI;?U:of:oU:qY:;`=fZ:JDJLLJH>:qAB:>L;J:@ZTPxUQv]?RXQJJ: J:C:[q:N;N`DZ:N:;jXpLuPJ:HjLjq:>:_cj>>p:B:G;gT:UTRcMdRSeTOOl<@J:BKRGv?ZnA\\IFBZYgB@>j:DJ;NZ:j:F:AB:=JZ=j;ZI;r<<:@@=:D@ U:Q;;B:QB:n>^;yayI::C:[Y:=B:>Z:>::::WTJWTL>Z:JwE:aJ:>:DJ<<:U;EJ:l;B:;R:DZJVDBUXA>:[K XF;;JSd::KSXf:^l;Z;b::Y=B:Cc;ORWiWk>RXQJJ:J >Z:N`DZ:F:;jNjl;Z;b::Y=B:e^Kyp?yR; `q?>>:^:f??J:qUXf:^l;Z;b::Y=B:C[pwp?yR; `q?>>:^:f?=J:uUXf:^:c\\_;<:B>N:F:nyyyyy]::yyyyyy:::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::fyyyyya :nYf::G:I:wAyA:::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::NDYmq^H;C:ELq^H_mvJ::::::::gjtLF`@GeFwr;V:>ZAZ:j:vCSmlJ::::::::::OJ;@jyyyyyy;jysy;Z:::::::^ <>:fB]mtFFcmnvGWMJnC==nHE=;:::::JJN:yyyxI:;Z::::::j:>:mT:B:F:AlqfG[maN FO=;::::::::_J;Zy=J:B::::::f:;jn>:;:wyyN:;F;N;;j?J@j@>: [B::wA]:_J:V<^>aLnvG[MJ>D_mq>>eK JFCUmjvFEm>^=N:cTjuS:>xYQ<;B:;J@nNKxq_j<@Z?BKaTMcTGZK^ZG_dZfbr_hlGF_J>@lQPnAMnQ@NbLYBxj]xoZHni@>YVKciDyDLcy]=D:<[:_xIHby?cnA\\IFbdve>we?_xYgB@nAlj:F:=b:?b:?B :?j:@j:V:=J:;H:<:TNE>:UTRcETcTX[US;SGWCF;SK]UW=EWMuUWM@B::P`?oBYJ:fbk;n_>WdGCG LyVDurB:;:Z;yyyIJ;JZumtE:<:F:;jysyAB:^:Fr:EJ:`:J:<:::::::>=?R:=J:NZ:>Z:vYxY:B::::::v :Z:j:vCJ::<::::::::=J:f:FZj< >fJV\\:>:Gc;YJHvyyuy;B:UD:[Z:>ryMLyyyyYJ<;Cc:V[:JMJ@fc[;>:[M>>:oi:b;VkFf:^<;T::aJLDjimjB:aJL>rIf:F[:cJJAJoHJH>Z:Vy<>jx]:JBA:;B:DJ::cZ;^CsJ:VYZ:JBGZ:>:;b::a=::;Xk?FEDJ:HBLJ=;\\v;`Q;NjbJ:Z:Njc:S;A>CJ> DLaI:AB:=J;LJZ;b::Y=B:CX;ORJiWkIPZsW;;;:jPN:C:[q:^ ;;JSd:[oB:arOBU:Z[;]JdRSa=: WmBVDUeRY]KrJ:J::E<=MC>;YSKZnA\\IvB:<[=SJvk?_xdZID:<[:_X= tYKLBxjZ:xo\\RJZ:FZZ;j;J;LJ :>;NY:Uk;^:>X?B:AJ::B>N:F:nyyyyy]: :yyyyyy::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: ::::::::fyyyyya:nYf::G:I:wAyA::::::::::::::::::::::::::::::::::::::::: ::::::::::::::::::::::::::::::::::::::NDYmq^H;C:ELq^H_mvJ::::::::gjtLF`@GeFwr;V:>ZAZ:j:vCSmlJ::::::::::OJ;@jyyyyyy ;jysy;Z:::::::^<>:fB]mtFFcmnvGWMJnC==nHE=;:::::JJN:yyyxI:;Z::::::j:>:? T:B:F:AlqfG[maNFO=;::::::::_J;Zy=J:B::::::f:;jn>:;:wyyN:;F;N;;j?J@j@>:[B::wA]:_J:V<^CRMcDB EDXceV=MC>[[v_?wk>w_;?dnA\\IvbYGbJOxYn];?dni\\IFb:^x?_x_^xIPbYGB<[=we; kAQNteli\\NtyrZ:;H :<:TNE>:UTRcETcTX[US;SGWCF;SK]UW=EWMuUWM@B::P`?oBY:ETV:WCKaTML]nIalHH< J::::::vYxy;<:CZ:F:;jysy?:;:uT=FrD_ mlVH[KR<:;B:::::::JFNZ;F:;J;Z:j:vCJ::<::::::wqy[:::::::::::::vYxI:;Z::::::::::::::::::::yay=J: B::::::::F:;j:[M>JwEZ:V\\:>:;Z<^Z:jP@:EZ:^\\<^EAFqEf:^<;CuZjx]:JBA:;B:DJ:@CJ:f?=JEJSd: L=B:;J:D:j s:j:=\\bfAbRDZPH_]N:gfDAK:RXQJJ:B:C:UK;>:^:f??JN`;fc[_HRSeTOGS:ER:;Z>[oB:ar OBU::jB^DPps:JqFv_?;LYBvBH^;kAQNt eB:=b:?J;Z:V[:B:G;Sjysy=:;:K: oa:B::CZ:f?=JHB:qQBv:Z:>::::WTJWTLB::::W:B>N:F:nyyyyy]::yyyyyy::::::::::::::::::::::: ::::::::::::::::::::::::::::::::::::::::::::::::fyyyyya:nYf::G:jy;:::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::JcvGYMt>^:fBWMtNHm=;:::::::n:;`:Z@[::JbEkRTnfln] Aj;J:QZ:B:F:YLpfF>:::::::::J?NZ;vyyyyyY:vYxY:B:::::::c:;:ElrfH=MtFGYMq >>Wlj:gmlJ::::::>>?jyyiy=J:B::::::F:;J:@:<:=j[vGUMrvC?MoJ::::::::JCN:r y:>:<::::::E:MM:>:nyyM;B:AB:;J;F;N;;j?J@j@>:W:YJ:>\\:B:]:_J:V<^ GYMr>>[LsvG;kT>>MlpFFImlF;s:?Jd@VlKJ`XCB:; J@nNkIt_j<@Z?BKaTMcTGZK^ZG_dZfbr_hlGF_J>@lQPnAMnQ @NbLYBxj]xoZHni@>YVKciDyDLcy]=D:<[:_xI Hby?cnA\\IFbdve>we?_xYgB@nAlj:F:=b:?b:?B:?j:@j:V:=J::fWUmofHMjwnB=l[NBeky syAB:^::yayQ:>:nn?>Z:^`:EJ:`:J:<:::::::>=?R:=J:Z:>:::::::::J? :<:: ::::::=J:f:FZryM ]yyyyYjMZ:nr;B:QB:n>^;UTR:;Jbf:DZ:b:E:cb:;U:Ou:sJ:Z:b :;B>cTTUUSZZ:WE:iWkIxW;XkIxW;CjOxW;JR^:_cNZ;r:EB:;JDJ` ^=;jw;<:[n:Zc>::Uk:^:>x;J?JSZ:N:;JvLQHIZ=fZ:JDJkDJHjw ;<:[>;R:;b::j\\jjNYVKd<>=tYKLBxjZji^xYgB@>B:=b:?J;^;yayI:>:^=:sg:OV:Z:f?;J:B>N:F:nyyyyy]::yyyyyy:::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::fyyyyya :nYf::G:I:K:wAyA:::::::::::::::::::::::::::::::::::::::::::::::::::::: ::::::::::::::::::::::::JcvGYMt>^:fBWMtNHm=;:::::::n: ;`:Z@[::JbEkRTnfln]Aj;J:`:<:=ja^GE=;:::::::::N;?R:yyyyyyA:yayA:<:::::: JDJ:j\\FHemj^HMmqnG;KaFFJufF>::::::;K;vyyuy:>:<::::::=J:Vm;Z:j:VBYmp>H YLkNG>::::::::N:MM:>:nyyM;B:AB:;Jj>J?>:Q:S:U J:F:iZ:>=F=N=V=^=f=n=v=>>GYMr>>[LsvG;kT>>MlpFFImlF;sJ:N:cTjyU:^xeQ<CRMcDBEDXceV=MC>[[v_?wk>w_;?dnA\\IvbYGbJOxYn];?dn i\\IFb:^x?_x_^xIPbYGB<[=we;kAQNteli\\NtyrZr:B:bKgJ:fc[_hb_ds?h_?^on_j>^?GhoGfnGgioGSZ::RS PN]v;fbk;n_>WdGCGLyVDurB:;::UqpVGem>VIGlZVB?lTvYxy;<:CZ:F:;jysy?:;:?W? ;B:sS;T:=j>>Z=^Z=B:?j_K:f:;B:?R:?ja^G>D_mlVH[KR<:;B:::::::JFNZ;F:;J ;Z:j:vCJ::<::::::wqy[::: ::::::::::vYxI:;Z::::::::::::::::::::yay=J:B::::::::F:;j^;UTR :;Z;f:F[r<^a;^=_c>_c>?>\\d;Vh?NZ;>s;NZ;>Z=fZ:JDF [;Fg?^=;jwO^yM:<:[n:Zx;j>Vg?^=VYZ:JBA:;J:D::::>RXQ:HRnNZ:NjbZ=@i:N:?VD>Z=`F?ZrC:QR:DJ:FF@ Z@s=Fi:C:[q:F;;JSZ:F:;B:=UXsW:JD> RGLH>:qQ:[:JBA:;J:DZJ:::JZsW;;;:jPF:C:[Q:n;R:DJ:VdscRYEUXQZ]>::UK:^:>X=j>>:_cJSZ:F:FF:cJZOgF^=VY;><:[V:> Z;b::Y=B:Qc;ObQiWkIPZsW;;;:jPF:C:[Q::meTwg:Hj>::UK:^:>X=j>>:_c>::Uk:^:>X;B :O:_cj>VSn>Vk;fc[_Hc\\_gdOwi;fZ;>:L>P]:V\\Q[f;:@@JdRSa=:W mBjpDpqR>H>:>:j\\jjNH^;kAQ^dveBs]\\IFBvEcyQE\\;;FZZGZeZDB;p=:^Z>@SDZ<@?BWDZZ:V[:JMJ@vYxy:B:;:sZ:VY[j=B:;JXEZ:bu=b:?bBaT XaEWEUUqrQ:C:[q:<:;B:;:::Ja@Na`><:::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::3:" }}{PARA 15 "" 0 "" {TEXT -1 14 "Je-li obrazec " }{TEXT 262 1 "M" }{TEXT -1 44 " z ad\341n v pol\341rn\355ch sou\370adnic\355ch nerovnicemi " }{OLE 1 4149 1 "[xm]Br=WfoRrB:::wk;nyyI;G:;:j::>:B>N:F:nyyyyy]::yyyyyy:::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::fyyyyya :nYf::G:jy;::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: ::::::::::::::::::::JcvGYMt>^:fBWMtNHm=;:::::::n:;`:Z @[::Jr`SSTnfln]Aj;J:T:<:=ja^GE=;:::::::::N;?R:yyyyyyA:yayA:<::::::JDJ: j\\FHemj^HMmqnG;KaFFJufF>::::::;K;vyyuy:>:<::::::=J:v_;Z:j:VBYmp>HYLkN G>::::::::N:MM:>:nyyM;B:AB:;Jj>J?>:Q:S:UJ:v; ;JyKB>:]:_J:V<^bBa;;k\\>IAml^GMjw>@[;_KR>A_;UKR> @^=N:WSjaR:^xeQ<CRMcDBE DXceV=MC>[[v_?wk>w_;?dnA\\IvbYGbJOxYn];?dni\\IFb:^x?_x_^xIPbYGB<[=we;k AQNteli\\NtyrZbfAbR?J;ml:nyyYZDjysyAbm?:;J Z=Z:Z@o<;j`@Pt\\Pd`QrPPJPMQ::>`:>@U;[;:jysyAB::?R:?ja^GEMbNHEms>@[;;B:::::::JFNZ;F:;B:?B:;B:yayA:<::::::IJ:ny=Z:j:v CJ::<::::::wyyyA<::::::::::::jysy:>:<::::::::::: ::::::::vYxI:;Z::::::::j:>:E:=b:yyyyq:[ll;J:ZJ^dcgg_;<Z<:VH::>RXQJJ::f?=J>::;b: \\RRNZ>nJZ;YZlOZ>nJB:AfSDZ<@??B;CVod`:NjcZ::::UK:^:>X=jA>Z:N`DZ:f:FfdO flOGse:Kf:_x:Oy:HjZ;b:<[skq:;B:mU;OBCiWkIPZsW;;;: jPF:C:[Y:;B:U:_cP]:V\\ Q[f_G::Fv?ZnA\\IvBYV Kd<>=tYKLBxjZjirQE\\;;=B:=b:?J;LZOeTL:Z ldRNjf>ZRjDAZ::DRNNZ>^jO]:RDB:QZ:n>^;yayI:[cQ:C:[q:<:;B:;:::Ja@Na`> <:::::::::6:" }{TEXT -1 7 " , kde " }{OLE 1 4149 1 "[xm]Br=WfoRrB:::wk ;nyyI;G:;:j::>:B>N:F:nyyyyy]::yyyyyy:::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::fyyyyya:nYf::G:jy;::::::::::::::: ::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::JcvGYM t>^:fBWMtNHm=;:::::::n:;`:Z@[::Jr`SSTnfln]Aj;JZPZ:B:F :YLpfF>:::::::::J?NZ;vyyyyyY:vYxY:B:::::::c:;:ElrfH=MtFGYMq>>Wlj:gmlJ: :::::>>?jyyiy=J:B::::::F:;jtK:j:VBYmp>HYLkNG>::::::::N:;:wyyN:;F;N;;j?J@j@>:W:YJ:>\\:B:]:_J:V<^:SJM_seQWdG_doB:arOMeU=DUSeJ=uV MuRAtUCUS[TRIUSamBPJd`ppPpsErJYUW_UTEeV ;cMEM:@Kr :B:bKgJ:fc[_hb_ds?h_?^on_j>^?GhoGfnGgioGSZ::RSPN]v;fbk;n_>WdGCGLyVDurB :;:::::jysyAB:^::yayQ:>:Vu=JTD:Cr:D_m lVH[KR<:;B:::::::JFNZ;F:;B:?B:;B:yayA:<::::::IJ::<:::::::::::::::::::vYxI:; Z::::::::j:>:E:=b:yyyyqryM]yyyyYZH:GX:DEZ:F[f;>c;^]:B:qi:;fyB:>l;J :ZJ^dcgg_;<:KSDcU:Hj<<: c:?NH>:qAB:>L=B:>::Uk:^:>x;j>Z;b:VdscRYEUXQZB:=S;OrviWkIPZsW;;;:jP>:C:[q:F;;JSd:Z:Ng cr:k=G;Eq`@@RSeTOmp<@:L>P]:V::^DPps:_v?ZnA H^;kAQ^dZID:<[:kZxQ^>\\IFBvExo\\RJZ:FZ[cQZ:>::::WTJWTL:B>N:F:nyyyy y]::yyyyyy:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::fyyyyya:nYf::G:jy;::::::::::::::::::::::::::::::::::::::::: ::::::::::::::::::::::::::::::::::::::JcvGYMt>^:fBWMtNHm=;:::::::n:;`:Z@[::Jr`SSTnfln]Aj;J:QZ:B:F:YLpfF>:::::::::J?NZ;vyyyy yY:vYxY:B:::::::c:;:ElrfH=MtFGYMq>>Wlj:gmlJ::::::>>?jyyiy=J:B::::::F:; J<@:<:=j[vGUMrvC?MoJ::::::::JCN:ry:>:<::::::E:MM:>:nyyM;B:AB:;J<<:W:G: wAK:M:OJ:V;^;f;;jA>:wA[J:FfMAyZK^ZG_dZfbr_hlGF_J>@ lQPnAMnQ@NbLYBxj]xoZHni@>YVKciDyDLcy]= D:<[:_xIHby?cnA\\IFbdve>we?_xYgB@nAlj:F:=b:?b:?B:?j:@j:V:=JbfAbRDZPH_]N:gfD=Jyyy;d:yayYZHQ:>:;H:<:TNE>:UTRcETcT X[US;SGWCF;SK]UW=EWMuUWM@B::P`?oBY:ETV:WCKaTML]nIalHH:yayQ:>:^k>B:=h:r:iV::EJ:`:J:<:: :::::>=?R:=J:Z:>h=Z:j:vCJ: :<::::::wqy[:::::::::::::vYxI:;Z::::::::::::::::::::yay=J:B::::::::F:; j^;UTR:;Jr>:oi:V\\:>Z:>:DJ<b;FCE:cJ Z@:jC^^B:aJLni=f:F[l;J:ZJ^dcgg_;<:Uk:F;;JSd::qAB:>l;FZ:>Z;b:;jc`a\\wgfsW;\\:^o?N[evp?yR;`q?>>::UK;V>x;FZ:N;:=eR[W:;r:y]:n> ^XUTRZ_gdO?WER:BKRG:j\\jjNBw[j]BN _ALyDB:P>:<[=SJvk?cDr]\\IFBZYgB@>B:=b:NZ:j:F:AB:^:dj:Z =>Z;b:CB[]?DB?Zl\\Z:V;n>^;ry=J:Jw[::^:<:::::::::::::::::::::::::::::::::4:" }{TEXT -1 33 " , pak jeho \+ obsah ur\350\355me vzorcem " }{OLE 1 5173 1 "[xm]Br=WfoRrB:::wk;nyyI;G :;:j::>:B>N:F:nyyyyy]::yyyyyy::::::::::::::::::::::::::::::::::::::::: ::::::::::::::::::::::::::::::fyyyyya:nYf::G:I:K:wAyA::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::JcvGYMt>^ :fBWMtNHm=;:::::::n:;`:Z@[::JB:::: ::;K;vyyuy:>:<::::::=J:ff;Z:j:VBYmp>HYLkNG>::::::::N: MM:>:nyyM;B:AB:;Jj>J?>:Q:SJ:f;;JB:a:c:e:gJ:v<suiy>Z:::::::^=N:WSjMT:^xeQ<>:SJM_seQWdG_doB:arOMeU=DUSeJ=uVMuRAtUCUS[TRIUSamBPJd`ppPpsErJYUW_UTEeV;cMEM:@Kr:B:bKgJ:fc[_hb_ds?h_?^on_j>^?GhoGfnGg ioGSZ::RSPN]v;fbk;n_>WdGCGLyVDurB:;:::::jysyAB:^::yayQ:>:>iHJXPZ:^ a@j:F;HJIH:CJR?Z:j<>Z:NZ;N:YLpJbNHEms>@[C:>Z::::::::kJ;@j:>:?B:;jysy;Z ::::::j=JyT:;B:F:Y<>Z:>:::::::::J?:<::::::::=J:f:FZr>>^GV<j?<:G;Sj`@@RS;Z;>;;B:oi :V\\:>:;Z<^Z:B:US:f:^\\<>FgT;E:ab:;e:oc;EB:F[l;J:ZJ^dcgg_KaBBJq@CJ:f?=j>>:_cZ:JBA:>::UK;^:>x;FZ:J:N`DZ:F:F`ss:EB :^<;h:sS:s:qAB:>l;Z:b:>ZBH`:R:DJ:\\RSj;:HRmV:sJ:hj:@j:N:K>dJ;Nj bJnjeN^lE:<:::::cTTVH::>RX QJJ:B:jPF:C:[Q;Z:b:< Kdjs::JZsW;;;:jPN:C:[q:F;;JSZ:F:N`s?Z=B:^<;P]^=VYZ:JBAj:>:;b::a=::;`q? >>::Uk:^:>X?j@JSd::aTXDpq l`q?Bl;J:@Z<:vGZ:Vn?N[jvp?MZsW;;;:jPF:C:[Q;N;N`DZ:N:;Jod PfDZ=f:^<^^>^=;jw;<:[N:jqrWB:A]=wp?yR;`q?>>::UK;^:>X=j>>:_cl;Z;b::Y=B:A_kvp?yR;`q?>>::Uk:^:>X?j>>:_ c>p:B:G;eT:UTRc=PpdPo^@j<@:L>P]:V\\Q[f_G:RR:c\\_WH:nG]:UeR Y]KrJNH:;:fBFF_J>v?ZnAYVKciDy\\ID:<[:_X=tYKLBxjZ :cyQE\\;;FZDrNB;GVI:@ZKb^;yayI:B:oa:B::CZ:f??JHB:qQBv::Uk;^:>x;FZ:V:;B:;:::Ja@Na`><::::::::::::::::::::::::::::::: ::::::::::::::::::::::::::::::::2:" }{TEXT -1 2 " ." }}{PARA 0 "" 0 " " {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 114 "V t\351to \350\341sti \+ budeme pou\236\355vat p\370\355kazy pro vykreslov\341n\355 graf\371 fu nkc\355, proto je vhodn\351 nejd\370\355ve prostudovat kapitolu " } {TEXT 263 29 "Z\341klady grafick\351ho zpracov\341n\355" }{TEXT -1 1 " ." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{SECT 1 {PARA 20 " " 0 "" {TEXT -1 9 "P\370\355klad 1" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 52 "Ur\350eme obsah obrazce, kter\375 je ohrani\350en parabolami." }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 34 "restart:with(plots):with(stu dent):" }}{PARA 7 "" 1 "" {TEXT -1 50 "Warning, the name changecoords \+ has been redefined\n" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 30 "Paraboly \+ jsou zad\341ny rovnicemi" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 33 "p1:=3*y=x^2-2;\np2:=y=x^2-4/3*x-6;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6 #>%#p1G/,$*&\"\"$\"\"\"%\"yGF)F),&*$)%\"xG\"\"#F)F)F/!\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#p2G/%\"yG,(*$)%\"xG\"\"#\"\"\"F,*&#\"\"% \"\"$F,F*F,!\"\"\"\"'F1" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 22 "Vykres l\355me graf funkc\355" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 38 "i mplicitplot(\{p1,p2\},x=-4..5,y=-7..6);" }}{PARA 13 "" 1 "" {GLPLOT2D 466 466 466 {PLOTDATA 2 "6%-%'CURVESG6io7$7$$!3d++++++SO!#<$\"3enmmmm' )\\PF*7$$!3M7Ds#G1oq$F*$\"3:)***********>RF*7$F-7$$!3Ev'4(Q[N%z$F*$\"3 /2tC*)p&H9%F*7$7$$!3h/zRkZ*4\"RF*$\"3s(***********RWF*F37$7$$!300zRkZ* 4\"RF*F<7$$!\"%\"\"!$\"3'pmmmmmmm%F*7$7$$!3E++++++!G$F*$\"3anmmmmY>HF* 7$$!3?k>U*pB$)[$F*$\"37)************R$F*7$7$FO$\"3c)************R$F*7$ $!38++++++SOF*$\"37nmmmm')\\PF*7$7$$!3P++++++?HF*$\"3KnmmmmYv@F*7$$!3W W1eA.H4IF*$\"35)***********fBF*7$F\\o7$$!3kC9dG9d;KF*$\"3'R%4Q_4Q)y#F* 7$7$$!3w]k!eA.4E$F*$\"37)***********zGF*Fbo7$FhoFI7$7$$!3]++++++gDF*$ \"3fnmmmm'y^\"F*7$$!3#G]j\\O]jt#F*$\"33)***********R=F*7$FdpFgn7$7$$!3 g+++++++AF*$\"3Mummmmmm%*!#=7$$!3sdqk8F*7$Faq 7$F`p$\"3\"ymmmmmy^\"F*7$7$$!3u++++++S=F*$\"3\"fnmmmm'=YF`q7$$!3Q*)3\" *3\"*3\"4#F*$\"3W!)************zF`q7$F`r7$$!3;+++++++AF*$\"3Wvmmmmmm%* F`q7$7$$!3)3++++++[\"F*$\"3S]nmmmmYj!#>7$$!3#zS-1licn\"F*$\"3G!)****** *****z#F`q7$FbsF[r7$7$$!3+,+++++?6F*$!31ELLLLL&[#F`q7$$!3&>:YQ:Y)H6F*$ !3;?++++++CF`q7$7$$!3t^h%Q:Y)H6F*$!3!*>++++++CF`qF\\s7$Fis7$$!3k38R<_c 46F*$!3cJ6oPYs]DF`q7$7$$!3=6++++++wF`q$!3'zKLLLL8u%F`qFjt7$7$$!335++++ ++wF`q$!3^GLLLLLTZF`q7$$!3Ur([=ialQ&F`q$!314=bz))>(f&F`q7$7$$!3A5+++++ +SF`q$!3vJLLLLLLhF`qF[v7$7$$!3m4++++++SF`q$!3kILLLLLLhF`q7$$!3Y.HBrwGB 6F`q$!3A2DbT6DblF`q7$7$$!3[.,+++++SFas$!3WKLLLLLhmF`qF\\w7$Fbw7$$\"3?J f*eE)4rBF`q$!3KZI=&\\(p-kF`q7$7$$\"3_*)***********>$F`q$!39OLLLLLDjF`q Fhw7$F^x7$$\"3g!)*********zS&F`q$!3gSLLLLL*e&F`q7$7$$\"3Q*)*********** z'F`q$!3SQLLLLLD^F`qFdx7$7$$\"3E))***********z'F`qF]y7$$\"3-C:&Hzg1:)F `q$!3]#z2(yW&4N%F`q7$7$$\"3#*)***********R5F*$!3!4MLLLL81$F`qFcy7$Fiy7 $$\"3mvEeQ8Hp5F*$!3[/4'G6(4BGF`q7$7$$\"3nL)4aZ687\"F*FgtF_z7$Fez7$$\"3 u'f7#*H1'*H\"F*$!3+?@/kwo)\\*Fas7$7$$\"3-*************R\"F*$!3.@MLLLLL 8FasFiz7$7$F`[l$!3>DMLLLLL8Fas7$$\"3eF*>CsPu^\"F*$\"3!fBBGMxO5\"F`q7$7 $$\"37E#eE,\"[y;F*FesFh[l7$F^\\l7$$\"3L52!exAcs\"F*$\"3I9350*flH$F`q7$ 7$$\"3!*)***********fF* $\"38#zB&4Q_4dF`q7$7$$\"3W#y#4.,n&4#F*FcrF^]l7$7$$\"3+#y#4.,n&4#F*Fcr7 $$\"3L#\\1N\\1&3@F*$\"3u(H@F*$\"3+[mmm mm9$)F`qF[^l7$Fa^l7$$\"37OD\\,(fSG#F*$\"3a))=iv[-$3\"F*7$7$$\"3ks@l&p3 'QCF*FdqFg^l7$F]_l7$$\"3axT;nloeCF*$\"33RscW1N;F*7$7$$ \"3!\\bA!4OWPFF*FgpF]`l7$7$$\"3NbD-4OWPFF*Fgp7$$\"3cCM)Hm![$y#F*$\"3,s sNU!R;#>F*7$7$$\"3_)***********RGF*$\"3\"Qmmmmm=-#F*Fj`l7$F`al7$$\"3gJ [3.#*yPHF*$\"3*3Yx)G*[(=AF*7$7$$\"34\\v')>q%z+$F*F_oFfal7$7$$\"3k[v')> q%z+$F*F_o7$$\"3CUz>2[<)3$F*$\"3:d=\\y__@DF*7$7$$\"3Q)************>$F* $\"3[jmmmmmYFF*Fcbl7$7$Fjbl$\"3/jmmmmmYFF*7$$\"3#4p2BpdgB$F*$\"3>kmmmm \"z#GF*7$7$$\"3CNJj(fr\"fKF*F[pFbcl7$Fhcl7$$\"3#4p2Bp#owLF*$\"3@kmmm;z WJF*7$7$$\"33mBSG3%**[$F*FQF\\dl7$7$Fcdl$\"3o(************R$F*7$$\"3\" 4p2Bp2t^$F*$\"3yjmmmmmhMF*7$7$$\"3%y***********fNF*$\"3'Hmmmmmyb$F*Fid l7$F_el7$$\"3C4&=E)Q'>l$F*$\"3e\\@m!Gjry$F*7$7$$\"3\"*G7rT1C0PF*F0Feel 7$F[fl7$$\"3[V2pe!=Sy$F*$\"3y?*o'f$=k6%F*7$7$$\"3=\\QW\"z'z8RF*F`D/M_;%F*$\"30(QX'\\IxD^F* 7$7$$\"3[)***********zUF*$\"3zhmmmmYRaF*Fbhl7$Fhhl7$$\"3-5=I]]<*G%F*$ \"3=ZSc\\rumaF*7$7$$\"3-:b*pGKOH%F*$\"3)o***********zaF*F^il7$Fdil7$$ \"3zcjs(G\")oS%F*$\"3],(R)Gqs;eF*7$7$$\"3/'>s$z,_oWF*$\"3W'*********** **fF*Fjil-%'COLOURG6&%$RGBG\"\"\"FEFE-F$6`r7$7$F`p$\"3)pLLLLLp'RF*7$$! 34'*GK&[K%HEF*F<7$F`[m7$$!3Ac9y#e7\"[EF*$\"33AVoIPFnXF*7$7$$!3mLvlCMv0 FF*F_hlFd[m7$Fj[m7$$!3t@=%GF*$\"3SLw=b]2()eF*7$7$$!3C4oK.`ReGF*Fc jlFh\\m7$7$F\\q$\"3KOLLLLLtP!>4%4@#F*Fgp7$Fe]m7$$!3kf#oTMSV @#F*$\"31h_YIQrg=F*7$7$$!3!>NFv3!G'H#F*F_oFi]m7$F_^m7$$!3R(o!oG]>EBF*$ \"3jBV43;Q#F*F[pFc^m7$Fi^m7$$!3.;J>8(\\!QCF*$\"34( QBde\\QA$F*7$7$$!3Mew]C%epY#F*FUF]_m7$7$Fd_mFQ7$$!3AWbq(R/*\\DF*$\"35] CNjuT0RF*7$7$$!376y*Hf(H_DF*F0Fh_m7$F^`mF][m7$7$F\\r$!3xKmmmmm5;F`q7$$ !3MdcCnV3A>F*Fes7$Ff`m7$$!3a8*QMWiA&>F*$\"3[U4XF'o:U%F`q7$7$$!3\"R/%zg &e)=?F*FcrFj`m7$7$$!3NWSzg&e)=?F*Fcr7$$!3K%Q:YQ:Y3#F*$\"3aHLLLLL`6F*7$ 7$$!3PJCMaFj:@F*FdqFgam7$7$$!3\"=VUVvKc6#F*FdqFb]m7$7$F]s$!3\\immmmEO= F*7$$!33r]F'p$z([\"F*$!3E-++++++=F*7$7$Fibm$!3/-++++++=F*7$$!3wq\"e!R> I\"\\\"F*$!3?zf\"p(\\n$y\"F*7$7$$!3iOzFZ:a*f\"F*$!3--+++++!G\"F*Facm7$ Fgcm7$$!3a:Sb+=N`;F*$!309`vaHgH5F*7$7$$!3t,3G)R*G6++++++CF`q7$F\\r$!3]Kmmmmm5; F`q7$7$Fjs$!3wjmmmmE_KF*7$$!3HL?KfN\"[A\"F*$!3j,+++++SGF*7$7$Fcfm$!33- +++++SGF*7$$!3abG9dGk&G\"F*$!3t+\"Q_4Q2g#F*7$7$$!3!>a_\"\\p,d8F*$!31-+ ++++?BF*F[gm7$FagmFebm7$7$Fgu$!3Dkmmmm14WF*7$$!3a][jnd@GwF`q$!37-+++++ +WF*7$F[hm7$$!3_>qS\"Gc7l(F`q$!3gyy!\\J'f#R%F*7$7$$!3iPc/HIZY#*F`q$!3m ,+++++!)QF*Fahm7$Fghm7$$!3+LpQxa4f5F*$!39*)*H$*>tzW$F*7$7$$!3eUc/HIZ'3 \"F*$!35-+++++gLF*F]im7$FcimF_fm7$7$Fbv$!3)RmmmmmmI&F*7$$!3OFu.R@!3b&F `q$!3q,+++++?\\F*7$7$$!3[Gu.R@!3b&F`qF`jmFhgm7$7$Fcw$!3ilmmmm1XfF*7$$! 3wn=v+.7[KF`q$!3G,+++++SaF*7$7$F[[n$!3R++++++SaF*7$Fbv$!3([mmmmmmI&F*7 $7$F_x$!3flmmmmECjF*7$$!3)\\e75[yAe#Fas$!3'3++++++'fF*7$7$$!3I%e75[yAe #FasF]\\nFgjm7$Fg[n7$$\"3'>)********RykF`q$!3_mmmmmaLkF*7$7$F[y$!3fmmm mmEWkF*Fd\\n7$Fj\\n7$$\"3XXZ<%>gYW*F`q$!3=4>\\sk+UjF*7$7$Fjy$!3#ommmmm ]I'F*F^]n7$7$Fjy$!3gommmm10jF*7$$\"3#3\"=/C8Ev6F*$!3W&Rg!ouPbhF*7$7$$ \"3Sic\"*Gs!=N\"F*F]\\nF[^n7$Fa^n7$$\"3o^]lwS4z8F*$!3P5%o^b-)HfF*7$7$F `[l$!31ommmmm1fF*Fe^n7$7$F`[l$!3&*ommmmm1fF*7$$\"3+g#yM/jEa\"F*$!397(z 0%)ogk&F*7$7$$\"3!QuaDXual\"F*F][nFb_n7$Fh_n7$$\"3*yg#yM/j,F*$!38([%ou- H2ZF*7$7$$\"3%fDh89.M4#F*F^hmF`an7$Ffan7$$\"3w(RHK&*GI5#F*$!3!4!exli[v VF*7$7$Fb^l$!3$4nmmmmAL%F*Fjan7$F`bn7$$\"3I***********f@#F*$!3%*pmmmmm =SF*7$7$$\"3cO=fz*[%eAF*$!37-+++++!)QF*Fdbn7$Fjbn7$$\"3:l0\\etPEBF*$!3 W?3$*G15eOF*7$7$$\"3*RAhIlKwT#F*FfimF`cn7$Ffcn7$$\"3+J6)pranV#F*$!3Qr \\>\"fMvH$F*7$7$Fh_l$!35smmmmEcJF*Fjcn7$F`dn7$$\"3Sz>*eSK#QDF*$!3\"zIx ^Z8T#HF*7$7$$\"3CH*yO5J$fDF*FefmFddn7$7$$\"3oH*yO5J$fDF*Fifm7$$\"3lVIu '3xRj#F*$!3BLx^Z8TUDF*7$7$$\"3-DwG')ew*o#F*FdgmFaen7$Fgen7$$\"3,2Tfn#42;#F*7$7$$\"3P?j*)o1??GF*F_cmF[fn7$7$$\"3#3K'*)o1??GF* F_cm7$$\"3Dr^W[kYDGF*$!3c%e)>#42!zWI F*FfdmF_hn7$Fehn7$$\"3O33#oM!y!3$F*$!3!\\FnHMQz(eF`q7$7$$\"3=sJ'4AuY:$ F*FgtFihn7$F_in7$$\"3[V^2>zJlJF*$!3EJK')3m.**=F`q7$7$Fjbl$!3w?ummmmmEF asFcin7$Fiin7$$\"3Tqwf18jWKF*$\"3)p$pOrbKb@F`q7$7$$\"3+c5^c5^cKF*FesF] jn7$Fcjn7$$\"3h\"fa'y/J?LF*$\"3%\\=*)\\(>=iiF`q7$7$$\"3W^TL_TL_LF*FcrF gjn7$7$$\"3)=:MB:MBN$F*Fcr7$$\"3!G^62l*)fR$F*$\"3rV6'y$Q!p.\"F*7$7$$\" 3yZs:[s:[MF*FdqFd[o7$Fj[o7$$\"3/M%oF#)o;Z$F*$\"3qoLAy%*eZ9F*7$7$$\"3nV .)RM!)Ra$F*FgpF^\\o7$Fd\\o7$$\"3Cb`#[*zMZNF*$\"3o$f&e=^Fe=F*7$7$$\"3s) ***********fNF*$\"3RBLLLL$p#>F*Fh\\o7$7$$\"3G)***********fNF*$\"3F*7$$\"3$z'yK!=\\qh$F*$\"3S(H:%GcfxAF*7$7$$\"3vhLXJbXIOF*F_oFi]o7 $F_^o7$$\"3kb!)G^.b&o$F*$\"3]:Re#\\\\')p#F*7$7$$\"3SB\\$*HU0:PF*F[pFc^ o7$7$$\"3&Q#\\$*HU0:PF*F[p7$$\"3YU#[A_^Sv$F*$\"3jLDvcLq>JF*7$7$$\"3]&[ ;%GHl*z$F*FQF`_o7$Ff_o7$$\"3RF*Fj_o7$7$$\"3eZ!)*oi^U)QF*F07$$\"3'yhoT'Q0 \"*QF*$\"3')p(*3&36='RF*7$7$F0$\"3]@LLLLtRTF*Fi`o7$F_ao7$$\"3_))fCU$Gh &RF*$\"3?*ybnh9yQ%F*7$7$$\"3;0)R`:GP'RF*FgY%=:TF*FgilFgbo7$F]co7$$\"3_Z`+x)GQ9%F* $\"31#Q.@i\"pwcF*7$7$$\"3qA#f8i74>%F*FcjlFacoFejl-%+AXESLABELSG6$%\"xG %\"yG" 1 2 0 1 10 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 0 "Curve \+ 1" "Curve 2" }}}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 29 "Ur\350\355me pr \371se\350\355ky obou parabol" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "intercept(p1,p2);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$<$/%\"xG!\" #/%\"yG#\"\"#\"\"$<$/F%\"\"%/F(#\"#9F+" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 10 "Vyj\341d\370\355me " }{TEXT 264 1 "y" }{TEXT -1 14 " z ob ou rovnic" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "h:=isolate(p1, y);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"hG/%\"yG,&*&\"\"$!\"\"%\"xG \"\"#\"\"\"#F,F)F*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "g:=is olate(p2,y);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"gG/%\"yG,(*$)%\"xG \"\"#\"\"\"F,*&#\"\"%\"\"$F,F*F,!\"\"\"\"'F1" }}}{EXCHG {PARA 0 "" 0 " " {TEXT -1 41 "Vytvo\370\355me argument pro dosazen\355 do vzorce" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 23 "F:=unapply(rhs(h-g),x);" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"FGf*6#%\"xG6\"6$%)operatorG%&arrow GF(,(*&#\"\"#\"\"$\"\"\"*$)9$F/F1F1!\"\"#\"#;F0F1*&#\"\"%F0F1F4F1F1F(F (F(" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 22 "Po\350\355t\341me tedy int egr\341l" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "i1:=Int(F(x),x= -2..4);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#i1G-%$IntG6$,(*&#\"\"#\" \"$\"\"\"*$)%\"xGF+F-F-!\"\"#\"#;F,F-*&#\"\"%F,F-F0F-F-/F0;!\"#F6" }}} {EXCHG {PARA 0 "" 0 "" {TEXT -1 13 "Obsah tedy je" }}}{EXCHG {PARA 0 " > " 0 "" {MPLTEXT 1 0 9 "value(%);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6# \"#C" }}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{SECT 1 {PARA 20 "" 0 "" {TEXT -1 9 "P\370\355klad 2" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 73 "Ur\350ete obsah obrazce, kter\375 je ohrani\350en osou y \+ a semikubickou parabolou." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 34 "restart:with(plots):with(student):" }}{PARA 7 "" 1 "" {TEXT -1 50 "Warning, the name changecoords has been redefined\n" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 28 "Rovnice semikubick\351 paraboly" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "p:=[y^2=(a-x)^3];" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"pG7#/*$)%\"yG\"\"#\"\"\"*$),&%\"aGF+%\"xG!\"\"\" \"$F+" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "#assume(a>0);" }}} {EXCHG {PARA 0 "" 0 "" {TEXT -1 143 "Pokus o vykreslen\355 funkce dan \351 implicitn\354. Je vid\354t, \236e syst\351m Maple m\341 ur\350it \351 probl\351my. Pro nakreslen\355 grafu je samoz\370ejm\354 nutn\351 zvolit pevn\351 " }{TEXT 265 1 "a" }{TEXT -1 1 "." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 43 "implicitplot(y^2=(2-x)^3,x=0..3,y=-10..10); " }}{PARA 13 "" 1 "" {GLPLOT2D 466 466 466 {PLOTDATA 2 "6$-%'CURVESG6h n7$7$$\"\"!F)$!3t***********\\#G!#<7$$\"33Ww+k25lH!#?$!3XGF,7$7 $$\"3A.a)3DJmT\"!#>$!3#)*************z#F,F-7$7$$\"3u.a)3DJmT\"F7F87$$ \"3S*3x*z,2R#*F7$!3Js%)*>,Qfh#F,7$7$$\"3%**************>\"!#=$!3KLLLLL (4b#F,F>7$7$FE$\"3KLLLLL(4b#F,7$$\"3cc`)3DJmT\"F7$\"3q+++++++GF,7$FN7$ F($\"3=++++++DGF,7$FD7$$\"3M)fSmhs0$=FG$!3AlqUWF,F^q7$Fdq7$$\"3'\\$)z]cU1j%FG$ !3aclQV]4()=F,7$7$$\"3#)*************z%FG$!3?+++++WZ=F,Fjq7$7$Far$\"3? +++++WZ=F,7$$\"3Y`l5Z=X[TFG$\"3W+++++++?F,7$FirFjp7$F`r7$$\"3gN$\\^D*3 ZbFG$!3C!*GV.&f!)p\"F,7$7$$\"3w**************fFG$!3:+++++]2;F,F`s7$Ffr 7$$\"3%[6OHEzo7&FG$\"3%Q#fP\"\\!3#y\"F,7$7$Fgs$\"3:+++++]2;F,F\\t7$7$$ \"3m)*************fFG$!3$***********\\2;F,7$$\"3elAkud&z['FG$!3M5:w\\Q ID:F,7$7$$\"3u*************>(FG$!3]*********f`S\"F,F[u7$7$Fgs$\"3P++++ +]2;F,7$$\"3UN+:b)4yy'FG$\"3Iw***)HMzu9F,7$7$Fbu$\"3s*********f`S\"F,F ju7$Fau7$$\"3=QB'z,*oauFG$!31f:kyEzp8F,7$7$$\"3!3++++++S)FG$!3m******* **zxB\"F,Fdv7$F`v7$$\"31UBdiMJG$)FG$\"33s<&\\-\"zZ7F,7$7$$\"3o******** *****R)FG$\"3m*********zxB\"F,F`w7$7$FgwF]w7$$\"3)=CcnWA%[%)FG$!3BG3\"F,F]x7$Fcx7$$\"3'4R-VG H'z$*FG$!3GF\\`*='3`5F,7$7$$\"3k*************f*FG$!3Q+++++/.5F,Fix7$7$ F`y$\"3Q+++++/.5F,7$$\"3&fD<['orK()FG$\"3Q+++++++7F,7$FhyFfw7$F_y7$$\" 3*H4:&o**>J5F,$!3EoGnnXmY()FG7$7$$\"33++++++!3\"F,$!3q#*********zmyFGF _z7$Fey7$$\"3c\"Q&G'>'\\+5F,$\"3WtX(4e`-I*FG7$7$Ffz$\"3!Q*********zmyF GF[[l7$7$Ffz$!3!Q*********zmyFG7$$\"3b](*3$*4+G6F,$!3yfL)f?m+?(FG7$7$$ \"3;+++++++7F,$!3G$************>'FGFh[l7$Fa[l7$$\"3Q#)G*=\"\\Je6F,$\"3 -ky!Q(e+znFG7$7$F_\\l$\"3i'************>'FGFd\\l7$7$F_\\l$!3=#******** ****>'FG7$$\"3kPVy;veG7F,$!3[h\"*G_W$e!fFG7$7$$\"3G++++++?8F,$!3S(**** *****>l\\FGFa]l7$Fj\\l7$$\"3Ol%\\=WzGI\"F,$\"372!pLaq89&FG7$7$Fh]l$\"3 %=+++++_'\\FGF]^l7$Fg]l7$$\"35*)*\\A[hIL\"F,$!3wzDL$[l2([FG7$7$$\"3R++ ++++S9F,$!3!H+++++w4%FGFg^l7$Fc^l7$$\"333!*)f\"zNQ9F,$\"3o#[*RnAZ4TFG7 $7$F^_l$\"3c4++++g(4%FGFc_l7$F]_l7$$\"3\\y$RORn8W\"F,$!3IK&efdf64%FG7$ 7$$\"3[\"=l$o=sg9F,$!3)o*************RFGF]`l7$Fc`l7$Fd`l$\"3sDz)*3@a=E FG7$7$Fd`l$\"3c.++++++SFGFi`l7$F]al7$F^_l$\"3+4++++g(4%FG-%'COLOURG6&% $RGBG\"\"\"F)F)-%+AXESLABELSG6$%\"xG%\"yG" 1 2 0 1 10 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 0 "Curve 1" }}}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 35 "Rozd\354l\355me p\370edepsanou funkci na dv\354" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "h:=sqrt((a-x)^3);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"hG*$*$),&%\"aG\"\"\"%\"xG!\"\"\"\"$F*#F* \"\"#" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 18 "g:=-sqrt((a-x)^3); " }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"gG,$*$*$),&%\"aG\"\"\"%\"xG!\" \"\"\"$F+#F+\"\"#F-" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 23 "Vykresl \355me graf funkc\355 " }{TEXT 266 1 "h" }{TEXT -1 2 ", " }{TEXT 267 1 "g" }{TEXT -1 19 " pro pevn\354 zvolen\351 " }{TEXT 268 4 "a=10" } {TEXT -1 1 "." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 34 "p1:=plot(s qrt((10-x)^3),x=-2..10):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 35 "p2:=plot(-sqrt((10-x)^3),x=-2..10):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "display(\{p1,p2\});" }}{PARA 13 "" 1 "" {GLPLOT2D 466 466 466 {PLOTDATA 2 "6&-%'CURVESG6$7S7$$!\"#\"\"!$\"3i0`;Q>#p:%!#; 7$$!3,+++]TVQ4je\"\\S jJF-7$$\"3K*****\\FPQ^#FA$\"3`+X0W%)yVIF-7$$\"3b,+++82C^FA$\"3AzVEBBOA HF-7$$\"3K+++]o;BuFA$\"3AXHe\"e$y;GF-7$$\"3@+++!RS6+\"F1$\"3GgkvSo[*p# F-7$$\"3#*******\\o-h7F1$\"3uuebnPR$e#F-7$$\"3>+++5cZ6:F1$\"3OcQz>x8tC F-7$$\"3'*****\\xq!*Q2y (eAF-7$$\"30+++g:WQAF1$\"3gCc.!4PB;#F-7$$\"3#*****\\<_$\\]#F1$\"3m16tw D$>0#F-7$$\"3m******fs#3u#F1$\"3cra!z;Ge&>F-7$$\"3E++]<#Q'**HF1$\"3K%* )yv\\p@&=F-7$$\"3I++]_u3YKF1$\"3!)HB3GkAbv$H\"F-7$$\"3E+++&\\$pPZF1$\"3.BYWf#er?\"F-7$$\"3e******> am%*\\F1$\"3*ykU%QP#)>6F-7$$\"3k*****\\JigC&F1$\"3<=hmjg_O5F-7$$\"3%** ***\\P)4B=F17$$\"3d+++?EdR()F1$\"3(zo2D:m ]T\"F17$$\"3M+++&o#R0!*F1$\"3R(\\dr()=#>**FA7$$\"3++++?`9V#*F1$\"3+;J& GeQWe'FA7$$\"3G++]<#Rm\\*F1$\"3q#zq/AS7d$FA7$$\"3F++]A_ER(*F1$\"3o\"G$ [4!p8L\"FA7$$\"#5F*$F*F*-%'COLOURG6&%$RGBG$Fhz!\"\"FizFiz-F$6$7S7$F($! 3i0`;Q>#p:%F-7$F/$!3$peL4o^<-%F-7$F5$!3mE(G$)oe`!RF-7$F:$!3UsfE$3Jex$F -7$F?$!3kqw()\\S#pk$F-7$FE$!3)*\\6Mu-7?NF-7$FJ$!3@#*z&yx+RS$F-7$FO$!3y !)3@72%\\G$F-7$FT$!3#>4je\"\\SjJF-7$FZ$!3`+X0W%)yVIF-7$Fin$!3AzVEBBOAH F-7$F^o$!3AXHe\"e$y;GF-7$Fco$!3GgkvSo[*p#F-7$Fho$!3uuebnPR$e#F-7$F]p$! 3OcQz>x8tCF-7$Fbp$!3U)37q*HTuBF-7$Fgp$!3[G\"p>2y(eAF-7$F\\q$!3gCc.!4PB ;#F-7$Faq$!3m16twD$>0#F-7$Ffq$!3cra!z;Ge&>F-7$F[r$!3K%*)yv\\p@&=F-7$F` r$!3!)HB3GkAbv$H\"F-7$F^t$!3.BYWf#er?\"F -7$Fct$!3*ykU%QP#)>6F-7$Fht$!3<=hmjg_O5F-7$F]u$!37'4BMV.+e*F17$Fbu$!3X BC;\"p;Et)F17$Fgu$!3a7lB5A%Q*zF17$F\\v$!3*oZt%G(\\%HsF17$Fav$!3y%*e!*p xEflF17$Ffv$!3]O4ZI*))=&eF17$F[w$!3<@DZV/L6_F17$F`w$!3o=@2:ZwoXF17$Few $!3w:n*49&RoRF17$Fjw$!37'e]XiI3P$F17$F_x$!3g._\"*GI)o#GF17$Fdx$!3([!pb Ohk/BF17$Fix$!3!yL7L>)4B=F17$F^y$!3(zo2D:m]T\"F17$Fcy$!3R(\\dr()=#>**F A7$Fhy$!3+;J&GeQWe'FA7$F]z$!3q#zq/AS7d$FA7$Fbz$!3o\"G$[4!p8L\"FAFfzFjz -%+AXESLABELSG6%Q\"x6\"Q!Fgdl-%%FONTG6#%(DEFAULTG-%%VIEWG6$;F(FgzF\\el " 1 2 0 1 10 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 0 "Curve 1" "C urve 2" }}}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 23 "Ur\350\355me pr\371se \350\355k s osou " }{TEXT 269 1 "x" }{TEXT -1 6 ", tj. " }{TEXT 270 3 "y=0" }{TEXT -1 9 ". P\370\355kaz " }{TEXT 271 9 "intercept" }{TEXT -1 30 " spo\350\355t\341 pr\371se\350\355k dvou k\370ivek." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "intercept(h=0,y=0);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#<%/%\"yG\"\"!/%\"aG%\"xG/F)F)" }}}{EXCHG {PARA 0 " " 0 "" {TEXT -1 22 "Po\350\355t\341me tedy integr\341l" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "i2:=Int(h-g,x=0..a);" }}{PARA 11 " " 1 "" {XPPMATH 20 "6#>%#i2G-%$IntG6$,$*&\"\"#\"\"\"*$),&%\"aGF+%\"xG! \"\"\"\"$F+#F+F*F+/F0;\"\"!F/" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 14 " V\375sledn\375 obsah" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 10 "val ue(i2);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,$*&#\"\"%\"\"&\"\"\"*&%\"a GF(*$)F*\"\"$F(#F(\"\"#F(F(" }}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{SECT 1 {PARA 20 "" 0 "" {TEXT -1 9 "P\370\355klad 3" }} {EXCHG {PARA 0 "" 0 "" {TEXT -1 59 "Ur\350ete obsah obrazce ohrani\350 en\351ho obloukem cykloidy a osou " }{TEXT 273 1 "x" }{TEXT -1 1 "." } }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 34 "restart:with(plots):with(s tudent):" }}{PARA 7 "" 1 "" {TEXT -1 50 "Warning, the name changecoord s has been redefined\n" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 16 "Rovnice cykloidy" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 56 "rce:=[r*(t-sin (t)),r*(1-cos(t))];\n#assume(0<=t,t<=2*Pi);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$rceG7$*&%\"rG\"\"\",&%\"tGF(-%$sinG6#F*!\"\"F(*&F'F( ,&F(F(-%$cosGF-F.F(" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 50 "Nakreslen \355 grafu. Rovnice jsou d\354leny v argumentu " }{TEXT 272 1 "r" } {TEXT -1 38 ", abychom dostali konkr\351tn\355 vyj\341d\370en\355." }} }{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 56 "plot([rce[1]/r,rce[2]/r,t=0 ..2*Pi],scaling=constrained);" }}{PARA 13 "" 1 "" {GLPLOT2D 466 466 466 {PLOTDATA 2 "6&-%'CURVESG6$7S7$$\"\"!F)F(7$$\"3e;cW/cSxU!#@$\"3%R# 3*QgiPO*!#?7$$\"3!e+5`Gi4z#F0$\"3Sn)o<,z>E$!#>7$$\"3=%\\Q;ZV:#)*F0$\"3 !)\\'*Q6_89vF67$$\"3s^>#3I_\"zBF6$\"3#)RJ?\"3HpM\"!#=7$$\"3]e/y%)H\\tY F6$\"3eW\\7nzu&4#FA7$$\"3=rfe)=K:y(F6$\"3[]1OJeUQA>'\\ WFA$\"3?x[QxJ'[l)FA7$$\"3x'ph27ORr&FA$\"3B/u(p5(f+5!#<7$$\"3['zTJP\\z; (FA$\"3q\\T#fB[i8\"Fdo7$$\"3>&p6Ev5Du)FA$\"3[:d.:#=YE\"Fdo7$$\"3/d\"GX ^+;.\"Fdo$\"3%zV1J*3Jx8Fdo7$$\"3:(HTIn>dB\"Fdo$\"3u\\AOF:B/:Fdo7$$\"3^ +4r2)>AU\"Fdo$\"3O1cjZ*[Rg\"Fdo7$$\"37$*QIe8]`;Fdo$\"3]CknM;$*3b5msp=Fdo$\"3Ie_b?/U!z\"Fdo7$$\"3]Y*4&3/k<@Fdo$\"3'z-\")RnIf'=F do7$$\"3!fRu^npAO#Fdo$\"3>XOJFO4B>Fdo7$$\"3p<*)\\F3ICEFdo$\"3q!RS4Nij' >Fdo7$$\"3Ixg&G[%3pGFdo$\"3!ypT>+.2*>Fdo7$$\"3KE`uH+RNJFdo$\"3+E$G4>&* ***>Fdo7$$\"3#\\*)H\"4E.7MFdo$\"3O0B(=!Q%3*>Fdo7$$\"3'G]t4$o$3l$Fdo$\" 3?b`sYlSn>Fdo7$$\"3j:6V=/d/RFdo$\"3@:LI@iKE>Fdo7$$\"3%HKb(Qt(*fTFdo$\" 3gF)4Kh=u'=Fdo7$$\"3LY8W$y`6S%Fdo$\"3K#*z7xng%z\"Fdo7$$\"3\\h+c,S_CYFd o$\"3mK\"4Pfc5r\"Fdo7$$\"3Mm!QO\\L\"f[Fdo$\"3Q%y6Ike[g\"Fdo7$$\"3I$Hx9 UFk0&Fdo$\"35Aa#=%)o!*\\\"Fdo7$$\"3!)>%>7\\L;D&Fdo$\"3'*f?<[\"ysP\"Fdo 7$$\"3]uoz;T%QT&Fdo$\"3wZ#H\"el'3E\"Fdo7$$\"3!=\\OGp%\\ubFdo$\"33@T_xm :H6Fdo7$$\"3:mWQ=pK4dFdo$\"3!zOHMQdI+\"Fdo7$$\"3$o77H1%>LeFdo$\"3spxOY nF7()FA7$$\"3(z@TH0mv$fFdo$\"3ungHa'e\\W(FA7$$\"35XGdRicHgFdo$\"3C:@W9 ;?khFA7$$\"3Z/qowO?-hFdo$\"3k(Q-RU*p'*\\FA7$$\"31UI8X3JhhFdo$\"3!3v60g \\1*QFA7$$\"3H)*HI_+11iFdo$\"3#fRKNh*p+HFA7$$\"3]'=)=I4JOiFdo$\"3]S\"y ig@)*4#FA7$$\"35r[&G$G'*fiFdo$\"32g)*y$[icK\"FA7$$\"3/L^'=)R*GF'Fdo$\" 3-s;%yY!**\\xF67$$\"3+\"*=`-Y9!G'Fdo$\"3OR8x286`MF67$$\"3]w>MG;w#G'Fdo $\"3Hz?W.kW/$*F07$$\"3C'ezrI&=$G'FdoF(-%'COLOURG6&%$RGBG$\"#5!\"\"F(F( -%+AXESLABELSG6$Q!6\"Fa[l-%(SCALINGG6#%,CONSTRAINEDG-%%VIEWG6$%(DEFAUL TGFj[l" 1 2 0 1 10 0 2 9 1 4 1 1.000000 45.000000 45.000000 0 0 "Curve 1" }}}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 82 "U\236ijeme vzorce pro v \375po\350et obsahu obrazce ohrani\350en\375m funkcemi dan\375mi param etricky" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 41 "P(M)=Int(psi(t)* D(phi(t)),t=alpha..beta);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/-%\"PG6# %\"MG-%$IntG6$*&-%$psiG6#%\"tG\"\"\"-%\"DG6#-%$phiGF.F0/F/;%&alphaG%%b etaG" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 19 "Dosazen\355m dost\341v \341me" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 41 "i3:=Int(rce[2]*di ff(rce[1],t),t=0..2*Pi);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#i3G-%$I ntG6$*&)%\"rG\"\"#\"\"\"),&F,F,-%$cosG6#%\"tG!\"\"F+F,/F2;\"\"!,$*&F+F ,%#PiGF,F," }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 14 "Spo\350teme obsah" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 10 "value(i3);" }}{PARA 11 " " 1 "" {XPPMATH 20 "6#,$*(\"\"$\"\"\"%#PiGF&)%\"rG\"\"#F&F&" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 0 "" }}}{SECT 1 {PARA 20 "" 0 "" {TEXT -1 9 "P\370\355k lad 4" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 78 "Ur\350ete obsah obrazce 1 .kvadrantu ohrani\350en\351ho Archimedovou spir\341lou a p\370\355mkam i" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 34 "restart:with(plots):wi th(student):" }}{PARA 7 "" 1 "" {TEXT -1 50 "Warning, the name changec oords has been redefined\n" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 17 "Ome zen\355 na plochu" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 96 "p:=rho =a*phi; # archimedova spir\341la\nphi=Pi/3; # p\370\355m ka\nphi=Pi/2; # p\370\355mka" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"pG/%$rhoG*&%\"aG\"\"\"%$phiGF)" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/%$phiG,$*&\"\"$!\"\"%#PiG\"\"\"F*" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/%$phiG,$*&\"\"#!\"\"%#PiG\"\"\"F*" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 17 "Vykreslen\355 plochy" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 34 "pl1:=polarplot(phi,phi=0..4/3*Pi):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 25 "pl2:=plot(Pi/3*x,x=0..1):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "display(\{pl1,pl2\});" }}{PARA 13 " " 1 "" {GLPLOT2D 466 466 466 {PLOTDATA 2 "6&-%'CURVESG6$7S7$$\"\"!F)F( 7$$\"3QT+(p&*RB4*!#>$\"3m_L'o-*yC$)!#?7$$\"3WE()=rgj#o\"!#=$\"34,@V:NH ,HF-7$$\"3W))zmp*3M^#F4$\"3uzRz,!)e)o'F-7$$\"3'zb6/7))zG$F4$\"3:0wghGH +7F47$$\"3MZ&oEDFv(RF4$\"3Y<`9XUDq=F47$$\"3t*))e*z'Hz_%F4$\"3ApI'\\!3l 2EF47$$\"3%\\09;`*[#*\\F4$\"3yb59'*>vxMF47$$\"33)p/k!4OX`F4$\"3/m!yLzR xZ%F47$$\"3W383GVLabF4$\"3+A$=-a-(fbF47$$\"322-!Q0q!3cF4$\"30?F/6n_UnF 47$$\"3+\"\\[p$ec6bF4$\"35H'yn&=dEyF47$$\"3!)>b4>iOM_F4$\"3U\\7f&eGX2* F47$$\"3wr(4O(Q(4x%F4$\"3O0iM\"31N.\"!#<7$$\"3;%zI1]#4YTF4$\"3k6k*)[`[ `6Fho7$$\"3`x_0\"e+nU$F4$\"39Neq+jLf7Fho7$$\"3')3J))GzF&Q#F4$\"3gn9bU* [!z8Fho7$$\"3uADW)y>*[8F4$\"3=VloJILt9Fho7$$!3y3s/V<+4FF0$\"3)3'G(*3n^ s:Fho7$$!336a++Q^*Q\"F4$\"3Y'obF,x:aEMGIF4$\"3E1#e(ows= !)R /=Fho7$$!3i&*\\_[tP*R)F4$\"3Y!Q*GaD%)==Fho7$$!3JNHFho$\"3 A/73/)p5>&F47$$!3=!>,4wkQ/$Fho$\"3#=%o!>J'zMEF47$$!3b'e`@(yaRJFho$\"3i u\\HiIA*R'F07$$!3#\\f@q5Fd@$Fho$!3)>i[aa!>vFF47$$!3wT,-'[,[E$Fho$!3gf% =!eUxzcF47$$!3]6gs1&yuG$Fho$!3F*[n'\\@dJ))F47$$!3q+om?83!G$Fho$!3_&Rbc &fz%>\"Fho7$$!3op]2uneTKFho$!31W!R_v)z=:Fho7$$!3E#yGg1c:<$Fho$!32\"4-* )y%RU=Fho7$$!3?2'z?7e'yIFho$!3SDU2f?/R@Fho7$$!3(43UG,)=QHFho$!3'Q))Q[X s[Z#Fho7$$!35hTSq?u\"y#Fho$!3-j)y`(=YoFFho7$$!3W$pH=WlJe#Fho$!31#>g/_s 62$Fho7$$!3M_%plh\\HO#Fho$!37Y\"[jGryM$Fho7$$!3'4r_[5&R%4#Fho$!3q(QShs )fFOFho-%'COLOURG6&%$RGBG$\"#5!\"\"F(F(-F$6$7SF'7$$\"3emmm;arz@F-$\"3' \\!)Qmk#f#G#F-7$$\"3[LL$e9ui2%F-$\"3IpE_.VmoUF-7$$\"3nmmm\"z_\"4iF-$\" 3r^)Q%)f4A]'F-7$$\"3[mmmT&phN)F-$\"3cFpT\"Gg0v)F-7$$\"3CLLe*=)H\\5F4$ \"3!**o1Y\\A))4\"F47$$\"3gmm\"z/3uC\"F4$\"3Ch77`EG18F47$$\"3%)***\\7LR DX\"F4$\"3UVbDVF47$$\"3WLLL3En$4#F4$\"3IgSXG))[#>#F47$$\"3qmm;/RE &G#F4$\"3m48GkF7$R#F47$$\"3\")*****\\K]4]#F4$\"3'\\L/g0*)*=EF47$$\"3$* *****\\PAvr#F4$\"3Ki>UwFyXGF47$$\"3)******\\nHi#HF4$\"3w:))*)\\0MkIF47 $$\"3jmm\"z*ev:JF4$\"3k*oCk%>\"GE$F47$$\"3?LLL347TLF4$\"3c=%eMj8))\\$F 47$$\"3,LLLLY.KNF4$\"3[R#o(=!Q()p$F47$$\"3w***\\7o7Tv$F4$\"3j$4@ng(HJR F47$$\"3'GLLLQ*o]RF4$\"3Ti]wZA:PTF47$$\"3A++D\"=lj;%F4$\"3uod>:u+jVF47 $$\"31++vV&RY2aF4$\"37aQ]z3oicF47 $$\"39mm;zXu9cF4$\"3%Qq(*QxY(zeF47$$\"3l******\\y))GeF4$\"31,'>F3(*R5' F47$$\"3'*)***\\i_QQgF4$\"3&Qir+E#QBjF47$$\"3@***\\7y%3TiF4$\"3X_`t*p[ c`'F47$$\"35****\\P![hY'F4$\"3M%oW0RM8x'F47$$\"3kKLL$Qx$omF4$\"3WU9Gm% 3J)pF47$$\"3!)*****\\P+V)oF4$\"31>=S%\\A#4sF47$$\"3?mm\"zpe*zqF4$\"3h& QJ5T:TT(F47$$\"3%)*****\\#\\'QH(F4$\"38a(=#)[<\"QwF47$$\"3GKLe9S8&\\(F 4$\"3s*)>'f)f))[yF47$$\"3R***\\i?=bq(F4$\"3k)z&G'z*>p!)F47$$\"3\"HLL$3 s?6zF4$\"3%y`vb\"of%G)F47$$\"3a***\\7`Wl7)F4$\"3%=5:G`(45&)F47$$\"3#pm mm'*RRL)F4$\"3v(y7\\_\"GF()F47$$\"3Qmm;a<.Y&)F4$\"3-'p6a_$Q\\*)F47$$\" 3=LLe9tOc()F4$\"3G&f4#4kkp\"*F47$$\"3u******\\Qk\\*)F4$\"3'**o,Q7X?P*F 47$$\"3CLL$3dg6<*F4$\"3ScuS\"*o,/'*F47$$\"3ImmmmxGp$*F4$\"3zs&4d?&\\6) *F47$$\"3A++D\"oK0e*F4$\"3D(R'HO5F.5Fho7$$\"3A++v=5s#y*F4$\"3b[u[\\TWC 5Fho7$$\"\"\"F)$\"3k(f'>^v>Z5FhoFhz-%+AXESLABELSG6$Q\"x6\"Q!Ffjl-%%VIE WG6$;F(F^jl%(DEFAULTG" 1 2 0 1 10 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 0 "Curve 1" "Curve 2" }}}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 50 "Dosad\355me-li do odpov\355daj\355c\355ho intergr\341lu dostaneme " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 38 "i4:=1/2*Int(a^2*phi^2,p hi=Pi/3..Pi/2);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#i4G,$*&#\"\"\"\" \"#F(-%$IntG6$*&)%\"aGF)F()%$phiGF)F(/F1;,$*&\"\"$!\"\"%#PiGF(F(,$*&F) F7F8F(F(F(F(" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 18 "V\375sledn\341 pl ocha je" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "value(%);" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#,$**\"#>\"\"\"\"%'H\"!\"\"%\"aG\"\"#%# PiG\"\"$F&" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{SECT 1 {PARA 5 "" 0 "" {TEXT -1 12 "D\351lka k\370ivky" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 18 "P\370 i v\375po\350tu d\351lky " }{TEXT 274 1 "l" }{TEXT -1 8 " k\370ivky " }{TEXT 275 1 "C" }{TEXT -1 20 " vych\341z\355me ze vztah\371" }}{PARA 15 "" 0 "" {OLE 1 5173 1 "[xm]Br=WfoRrB:::wk;nyyI;G:;:j::>:B>N:F:nyyyy y]::yyyyyy:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::fyyyyya:nYf::G:I:K:wAyA:::::::::::::::::::::::::::::::::::: ::::::::::::::::::::::::::::::::::::::::::JcvGYMt>^:fBWMtNHm=;:::::::n :;`:Z@[::JRUtTTnfln]Aj;J:a:<:=ja^GE=;:::::::::N;?R:yy yyyyA:yayA:<::::::JDJ:j\\FHemj^HMmqnG;KaFFJufF>::::::;K;vyyuy:>:<::::: :=J:Fg;Z:j:VBYmp>HYLkNG>::::::::N:ME:;J:JyyI?Z:VZ:>:C :W:G:wAK:M:OJ:V;;J@j@>:[B::wA]:_J:V<^CRMcDBEDXceV=MC>[[v_?wk>w_;?dnA\\IvbYGbJOxYn];?dni\\IFb: ^x?_x_^xIPbYGB<[=we;kAQNteli\\NtyrZ::::J?v@j:F;HJrH Z:v:_?;j<>Z:NZ;N:YLpJbNHEms>@[;;B:::::::JFNZ;F:;J;:<:::::: :::::::::::::vYxI:;Z::::::::j:>:E:=b:yyyyqR>ryyY;C=^;UTRZ_?:@jD:DjZ:Vy:[V:R:;b:;B>aTXU]fsW;\\:fb?N[iwp?yrq?r?yrq?^:Qsq?:[K:_cwp?yR;`q?>>:^:f?=J>:oi:B:Z<^Z:jP>:E:cjrDjHHj<<:ab:]d:At:E:Vb=>n=fZ ::AP=Lj<ZeV:Ar:@ZZ VB:QR:=R:DJ:\\RSJ:@j:Zymy;::^y fSOw:At:iv:At:ms:?e:=s:ge:C:UK:f:;JDvp;F]D^=Z:b:`::UK<^:>X=j>>Z:N@B:=:_SXsW:E:cJJEjpIJH>:qQ:uI<:[V:B :D::::>RXQJJ::f?=JB:>l ;F:;J:D:js::JZsW;;;:C:UK<^:>X=j>>:_;:?UXs?^l;J:>Z<:: ::;`q?>>::Uk:^:>XCB:MJ:N@B:=:=UXsW:JDDJJEJQ^=VY;><:[V:>:;b::::JZsW;;;: jP^:C:[q:v;;JSZ:f:^g`?i^?Ioe;gW:qd:;`=fZ:JDNk<>gA^=VYZ:JB?:@ZZ :F?XnUQv]?RXQJJ::f?=J>:_ca<^=VY;Xy>Z:JBA:@Zjq::_yD;F;_G:n^@jf@j`^Hc\\_gdOgc;fZ;Z>[oB:arOBU:::c\\_WH:nG]:UeRY]KrJY= :;:fbrkjN<@lQ:LYBvBYVKciDr]\\IFBZYgB@>j:D J;NZ:j:F:AB:=JZeV:H:FZ=:G;Sjysy=J:B:oQ::<:^:f?EB:sZ:VY[B:I:;JXE:tx:DJ ;Dlc`qsLqlp@;B:OB:=K?AZ:B:yayagcQ\\:Fq;yrq_:;jPn:C:[Q<Z:>::::WTJWT L>Z:>e=C:mtJKuJFg=KoHN:Vg=KpH>UuJng=kqHN:>h=krH>_uJVh=?:cuJfh=KuH>iuJ>i=kvH>o uJVi=KxH>uuJni=kyH>::::::::4:" }{TEXT -1 32 " v p\370\355pad\354, kdy rovinn\341 k\370ivka " }{TEXT 276 2 "C " }{TEXT -1 18 "je zad\341na r ovnic\355 " }{OLE 1 4149 1 "[xm]Br=WfoRrB:::wk;nyyI;G:;:j::>:B>N:F:nyy yyy]::yyyyyy:::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::fyyyyya:nYf::G:jy;::::::::::::::::::::::::::::::::::::::: ::::::::::::::::::::::::::::::::::::::::JcvGYMt>^:fBWMtNHm=;:::::::n:;`:Z@[::JRUtTTnfln]Aj;JZQZ:B:F:YLpfF>:::::::::J?NZ;vyy yyyY:vYxY:B:::::::c:;:ElrfH=MtFGYMq>>Wlj:gmlJ::::::>>?jyyiy=J:B::::::F :;jI@:<:=j[vGUMrvC?MoJ::::::::JCN:ry:>:<::::::E:MM:>:nyyM;B:AB:;Jj>J?>:QJ:^;;j@>:YJ:nY><;jBJC>:a:c:e:gJ:nYvY::::::::::::::::::::::: ::::::::::::::::::::::::::::::::::::::::::::::j:b:IsCRMcDBEDXceV=MC>[[v_?wk>w_;?dnA\\IvbYGbJOxYn];?dni\\IFb:^x?_x_^ xIPbYGB<[=we;kAQNteli\\NtyrZ:=Jyyy;dZ:v Yxy;tV;J:>r:B:bKgJ:fc[_hb_ds?h_?^on_j>^?GhoGfnGgioGSZ::RSPN]v;fbk;n_>W dGCGLyVDurB:;::?lZ^DqKQVBUL\\VAnDyyyxy;<:CZ:F:;jysy?:;:UG=^`:EJ:`:J:<:::::::>=?R:=J::<::::::wqy[:::::::::::::vY xI:;Z::::::::::::::::::::yay=J:B::::::::F:;jjEV<;JMTjA^=yyyxY:D:Djl;J:ZJ^dcgg_;<_c^_O>d;nIHj<<:c:wLH>:qA>Z:JBGZ:B:;b::a=::;`q?>> :^:f?=JL;Z;>Z< jc`a\\wgfsW;\\:^fAN[\\vp?yR;`q_??j;A`<^:CeBAg:HRv:bRB::::::>^:QS;:j P>:C:[q:^;N`DZ:VZ:B:usbAwM_W;;d:Hj@KMjA@j`@Pt^DPpdPo;@j<@:L>P]:VH>:>:j\\jjN:<[=SJvk?cD\\^ID:< [:kZxQ^>\\IFBvExo\\RJZ:FZZ=@ i:J;a<;JPN:AVR^:C=>IL:Z\\[:V;n>^;yayI::KRt_jVAv]YQ<>Z:f?=J:B>N:F:nyyyyy]::yyyyyy:::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::fyyyyya:nYf::G:jy;::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: JcvGYMt>^:fBWMtNHm=;:::::::n:;`:Z@[::JRUtTTnfln]Aj;J: QZ:B:F:YLpfF>:::::::::J?NZ;vyyyyyY:vYxY:B:::::::c:;:ElrfH=MtFGYMq>>Wlj :gmlJ::::::>>?jyyiy=J:B::::::F:;J;@J:B:F:AlqfG[maNFO=;::::::::_J;Zy=J: B::::::f:FG;J:JyyI?Z:VZ:>:C:W:G:wAK:M:OJ:V;;J@j@>:YJ:nY><;jBJC>:a:c:e: wAyA:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: ::::=Z<>Z:B:::yay=::::::s:?JQ@VmKJ`XCJ:^;GOv]XCfZ;R;LncpNdP]:V\\QGghGb f_gCRMcDBEDXceV=MC>[[v_?wk>w_;?dnA\\IvbYGbJOxYn];?dni\\IFb:^ x?_x_^xIPbYGB<[=we;kAQNteli\\NtyrZZ=R:DZ=HF?J;m\\:;H:<:TNE>:UTRcETcTX[US;SGWCF;SK]UW=EWMuUWM@B::P`?oBY:ETV :WCKaTML]nIalHH;B:;::?R:yay=J:B:jysyAB::;j<>Z:N:?ja^G>D_mlVH[KR<:;B:::::::JFNZ;F:;B:?B:;B:yyyxY:B: :::::v::<:::::::::::::::::::vYxI:;Z::::::::j:>:E:=b:yyyyq<HKJ:Nyb;FCE:cJZ@:jC^^ B:aJL^xn;fk;^=Z:b:;B>cTTUUSZZ:WE:iWkIxW;Xk IxW;CjOxW;JR^:;jPF:MJ:N`DZ:FZ:JP`a=fZ:JDj]_=;jw;<:[V:=B:;J:D:js::JZsW; ;;:jPN:;j^nCClavDa\\:>:yayM:>Z:::F:>v@JLqZ:F]?Z::^:>x;F:O:_;:=eROT :nIn>NXUTRZ_gdOoVER:BKRGv_?;LYBx j]BN_ALyDB:P>:<[=SJvk?cDr]\\IFBZYgB@>B:=b:?J;<:=j:VZ:F:CZD FZ:J:HJ:@ZZ:V;n>^;yayI:>:>;NY>Z::^:Z:N[:F>OV:Z: >::::WTJWTLB::::::::::::::::::::::::::::::::::2:" }{TEXT -1 2 " ." }} {PARA 15 "" 0 "" {OLE 1 5173 1 "[xm]Br=WfoRrB:::wk;nyyI;G:;:j::>:B>N:F :nyyyyy]::yyyyyy:::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::fyyyyya:nYf::G:I:K:wAyA:::::::::::::::::::::::::::::: ::::::::::::::::::::::::::::::::::::::::::::::::JcvGYMt>^:fBWMtNHm=;:: :::::n:;`:Z@[::JRUtTTnfln]Aj;JZa:<:=ja^GE=;:::::::::N ;?R:yyyyyyA:yayA:<::::::JDJ:j\\FHemj^HMmqnG;KaFFJufF>::::::;K;vyyuy:>: <::::::=J:Np;Z:j:VBYmp>HYLkNG>::::::::N:MM:>:nyyM;B:A B:;Jj>J?>:QJ:^;;j@>:]:YJ:>\\:B:wA_J:V<^CRMcDBEDXceV=MC>[[v_? wk>w_;?dnA\\IvbYGbJOxYn];?dni\\IFb:^x?_x_^xIPbYGB<[=we;kAQNteli\\NtyrZ ::XaK:E^a?B:Ci;F:MZ=Nh=j=nTD_mlVH[ KR<:;B:::::::JF:?B:;jysy;Z::::::j=>:Gs;:<::::::wqy[:::::::::::::vYxI:;Z::::::::::::::::::::yay=J:B:::: ::::F:;ja:Gc;YJHvyyuy;B:UD:[J:j?<:G;Sj`@@J:R:KJ:NyI:si:;B::C:Uk:>;NYEj:B:;:C:UK;N=^^=V;mr: =f:Wt:qd:;w:Ar:yy:iR:[D>iR:[LO@JALJO@JOIJSHjEIJSHjVHjuDJJHj?EJ:E:M b:>Z:cJDDJ?PJH>Z:VyZ:b:;B>cTTUUSaEBW\\Z:WE:iWkIxW;XkI xW;CjOxW;JR^:f?AJ@>:_cK:\\DrN>ZEJ:dJ ;Vj^c:HRt>ZEB:?B;CVfARR@Z:::_CeaF;IF;sW:E:cJZEJLQJHB :qQ:uI<:[^:B:DZJ:::JZsW;;;Z:^::KSDKSDKK;@jBIJ ;@jZRHj<<:cb:qqXDJHjwO>B:>LR:;b:;jc`a\\wgfsW;\\:feAN[hxp ?yR;`q?>>::UK<^:>XAj>>Z:N`DZ:F:;B:?UXsW:E:cJiLJPDj>JSZ:F:Ffs_q;:cJZEjv IJH<:qQ:[:JBA:@Z<:vGZ:vdAN[Cwp?yR;`q?>>::Uk;^:>XCB:S:_c>:_cfZ:JDDJNEjlLJH>:qQ:[:JBA:@ZinSR>::UK<^:>XAJ@JSZ:V:HnqRT>>>:C::_J>:YKbLYBvB:<[=SJvk?cDy\\ ID:<[:_X=tYKLBxjZ:cyQE\\;[:j:DJ;NZ:j:F:AB:=J<ZBK:\\DrN>ZEJ:d:AFSrZcM:hZ:B;CVf:NP:D<;j?<:G;Sjysy=:;:K:oQ:Z:>::::WTJWTL>Z:::::::::::::::::::::::::2:" } {TEXT -1 37 " v p\370\355pad\354, kdy prostorov\341 k\370ivka " } {TEXT 278 1 "C" }{TEXT -1 36 " je zad\341na parametrick\375mi rovnicem i " }{OLE 1 4661 1 "[xm]Br=WfoRrB:::wk;nyyI;G:;:j::>:B>N:F:nyyyyy]::yy yyyy:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::fyyyyya:nYf::G:I:wAyA:::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::NDYmq^H;C:ELq^H_mvJ::::::::gjp`h`@GeFwr;V:>bAZ:j:vCSmlJ::::::::::OJ;@jyyyyyy;jy sy;Z:::::::^<>:fB]mtFFcmnvGWMJnC==nHE=;:::::JJN:yyyxI:;Z::::::j:>:wU:B :F:AlqfG[maNFO=;::::::::_J;Zy=J:B::::::f:;jn>:;:wyyN: j>J?>:QJ:^;f;;JB:a:c:e:gJ:v<:^=N:WSj?U:^xeQ<>:SJM_seQWdG_doB:arOMeU=DUSeJ=uVMuRAt UCUS[TRIUSamBPJd`ppPpsErJYUW_UTEeV;cMEM :@K::Ppu<r:id :D_mlVH[KR<:;B:::::::JFNZ;F:;J;Z:j:vCJ::<::::::wqy[:::::::::::::vYxI:;Z: :::::::::::::::::::yay=J:B::::::::F:;j:Gc;YJHvyyuy;B:UD:[Z:>ryMLyyyyYjQK:^^;:;Z<^Z:jP@:EZ:^\\<^Eif>E:ab:;T:Ad>E:cJZ@:jC^^BSX? E:cJZ:VD:;b:E:cJJAJoHJH>Z:Vy<>jx]:JBA:;B:DJ::;b::a=:?FEDZ=Hi:NZ>nJZBYZsO:?FD>:c=?VD>:S;AfXDJ<:vr =VfBZ;b:CB[]w:=e:DBLZlXZ\\c:TsNHL;nldV>;B:;Jq vP>r?uW;;;Z:^:f??J;R:;J:X?B:YJ:p;r:JDJd@JHjw;<:[N:>: :UK;^:>x;F:U:_c[oB:arOBU :Z[[:Fv_?wKBw[j]BN_ALyDB:P>:<[=SJvk?cD r]\\IFBZYgB@>B:=b:?J;<:=R:=j;:S;AfXD::I@DRNZn[Z:V;n>^;yayI:>:>;NY:sg:OV:`XC:Uk;^:>X?B:AJ:: B>N:F:nyyyyy]::yyyyyy::::::::::::::::::::::::::::::::::::::::::::::::: ::::::::::::::::::::::fyyyyya:nYf::G:I:wAyA::::::::::::::::::::::::::: ::::::::::::::::::::::::::::::::::::::::::::::::::::NDYmq^H;C:ELq^H_mv J::::::::gjp`h`@GeFwr;V:>rAZ:j:vCSmlJ::::::: :::OJ;@jyyyyyy;jysy;Z:::::::^<>:fB]mtFFcmnvGWMJnC==nHE=;:::::JJN:yyyxI :;Z::::::j:>:CU:B:F:AlqfG[maNFO=;::::::::_J;Zy=J:B::::::f:;jn>:;:wyyN: ;F;N;;j?>:SJ:f;;jA>:q:[B::a:c:e:gJ:v<CRMcDBEDXceV=MC>[[v_?wk>w_;?dnA\\IvbYGbJOxYn];?dni\\IFb:^x?_x_ ^xIPbYGB<[=we;kAQNteli\\NtyrZr:B:bKgJ:fc[_hb_ds?h_?^on_j>^?GhoGfnGgioGSZ::RSPN]v;fbk;n_>WdGC GLyVDurB:;:::::jysyAB:^::yayQ:;J:jqxJ:^vr:if:D_mlVH[KR<:;B:::::::JFNZ;F:;J;: ;:::::::::N[:B:yay=J:B::::::nYyA<::::::::::::jysy:>:<::::::::::::::::: ::vYxI:;Z::::::::j:>:E:=b:yyyyq^;UTR:;JrZ^=;B:qi: iYyAA;JBA:@J:DZJVdsgGl`q?B@C:US:F[:>:_c>:^:f?=J:cTTP@BBJqht=Ngs=FiDrNZf>x;FZ:n:qAB:>L=J:g;Vg>^^=>]=r:EB:^^=;jw;<:[>; R:DJ:VdscRY]q[:>JlyUQv]?RXQJJ::f?;J>Z:N`DZ:F:JpyUQv]?RXQJJ:::C:[q:N;N@B:?J:fhl o@HjQ=:G;cT:UTRc=PpdPO^@j<@:L>P]:V>>::JC>; Y;Bw[j]BN_A[DweZ:RK:B>H^;kAQNte\\Bs]nJZ=:CB[ePoJNj;[ :>SDJ:>?;b:Cj]Ijk>ZZPXE?ZWK:<:::::N:A>DB?Zf::K;A>DrN>:TsgZW [:V;n>^;yayI::KRt_ jVAv]YQ<>Z:f?=J;B:::::::::::::::::::::::2:" } {TEXT -1 44 " je spojit\341 z\341rove\362 se svoj\355 prvn\355 derivac \355 " }{OLE 1 4149 1 "[xm]Br=WfoRrB:::wk;nyyI;G:;:j::>:B>N:F:nyyyyy]: :yyyyyy::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: ::::::::fyyyyya:nYf::G:jy;:::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::JcvGYMt>^:fBWMtNHm=;:::::::n:;`:Z@[::JRUtTTnfln]Aj;J:QZ:B:F:YLpfF>:::::::::J?NZ;vyyyyyY: vYxY:B:::::::c:;:ElrfH=MtFGYMq>>Wlj:gmlJ::::::>>?jyyiy=J:B::::::F:;J>@ :<:=j[vGUMrvC?MoJ::::::::JCN:ry:>:<::::::E:MM:>:nyyM;B:AB:;Jj >J?>:QJ:^;f;;jA>:wA[J:FtnFZ?Z:::::::^=N:WSjSAc yt_:;J@nNSxt_j<@Z?BKaTMcTGZK^ZG_dZfbr_hlGF_J>@lQP nAMnQ@NbLYBxj]xoZHni@>YVKciDyDLcy]=D:< [:_xIHby?cnA\\IFbdve>we?_xYgB@nAlj:F:=b:?b:?B:?j:@j:V:=JF:wyyAbr:B:bKgJ:fc[_hb_ds?h_? ^on_j>^?GhoGfnGgioGSZ::RSPN]v;fbk;n_>WdGCGLyVDurB:;:::::jysyAB:^:: yayQ:;J:Jr:QV:N:=N:D_mlVH[KR<:;B::::::: JFNZ;F:;J;:<:::::::::::::::::::vYxI:;Z::::::::j:>:E:=b:yyy yq:cg:V[:J MJ@fc[;>:[kZnZ<>ZJ^dcgg_;<Z:JBAJ:R:D J:VdscRYEUXQZB:_t;ORfiWkIPZsW;;;:jPF:C:[Y:>Z:N`DZ:F::cJ_@ JZ^=VY;><:[V:R:D:UDO;SKRRB:_W:OrjiWkIPZsW;;;:jP>:C:GVk?so>Z::::::::::J rG:O:_;:eeVg[=Fj:B:G;kq`@@RSeTOSq<@:L>P]:VH> :>::JC>;Y;Bw[j]BN_ALyDB:P>:<[=SJvk?_xdvExb:B><>=tYKLBxjZ:xo\\RJl:FZ?JEK:hj:@:?B;GVk?;:^= [cQZ:>::::WTJWTLB:::::::::::::::::::::::::::::::::::::6:" }{TEXT -1 3 " v " }{OLE 1 4149 1 "[xm]Br=WfoRrB:::wk;nyyI;G:;:j::>:B>N:F:nyyyyy] ::yyyyyy:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::fyyyyya:nYf::G:jy;::::::::::::::::::::::::::::::::::::::::::: ::::::::::::::::::::::::::::::::::::JcvGYMt>^:fBWMtNHm=;:::::::n:;`:Z@[::JRUtTTnfln]Aj;J:QZ:B:F:YLpfF>:::::::::J?NZ;vyyyyyY :vYxY:B:::::::c:;:ElrfH=MtFGYMq>>Wlj:gmlJ::::::>>?jyyiy=J:B::::::F:;J< @:<:=j[vGUMrvC?MoJ::::::::JCN:ry:>:<::::::E:MM:>:nyyM;B:AB:;J<<:W:G:wA K:M:OJ:V;;J@j@>:YJ:nY><;jBJC>:a:c:e:wAyA:::::::::::::::::::::::::::::: ::::::::::::::::::::::::::::::::::::::::=ZH;KbNH YMJf@;k^fG=mmfFMJHJ;n_;AW>^cQ<CRMcDBEDXceV=MC>[[v_?wk>w_;?dnA\\IvbYGbJOxYn];?dni\\IFb:^x?_x_^ xIPbYGB<[=we;kAQNteli\\NtyrZZ=R:DJ:ETV:W CKaTML]nIalHH:EJ:`:J:<:::::::>=?R:=J:Z:>:::::::::J?:<::::::::=J:f:FZj<>^>V<;JMTjA^=yyyxY::[E:KJ :Ny:aJ ZNt=f:^<;wu:E:Mb:n;Vr;^=Z:b:;B>cTTUUSZZ:WE :iWkIxW;XkIxW;CjOxW;JR^:;jPF:MJ:N`DZ:FZ:JP`a=fZ:JDjN_=;jw;<:[V:=B:;R:D J:VdscRYEUXQZ>::UK;V>x;F:O:_cZ=vI[oB:arOBU:::c\\_WH:jBjpDpqR>H>ZHK::E< =MC>;YSKZnAH^;kAQ^dZID:<[:_X=tYKLBxjZ:xo\\RJZ:FZZ=>Z;b:CB[]?DB?Zl\\Z:V;n>^;yayI:Jw[::^ :<:::::::::::::::::::::::::::::::::4:" }{TEXT -1 11 " , p\370i\350em\236 " }{OLE 1 5173 1 "[xm]Br=WfoRrB:::wk;nyyI;G :;:j::>:B>N:F:nyyyyy]::yyyyyy::::::::::::::::::::::::::::::::::::::::: ::::::::::::::::::::::::::::::fyyyyya:nYf::G:I:K:wAyA::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::JcvGYMt>^ :fBWMtNHm=;:::::::n:;`:Z@[::JbplUTnfln]Aj;JZ]:<:=ja^G E=;:::::::::N;?R:yyyyyyA:yayA:<::::::JDJ:j\\FHemj^HMmqnG;KaFFJufF>:::: ::;K;vyyuy:>:<::::::=J:fh;Z:j:VBYmp>HYLkNG>::::::::N: MM:>:nyyM;B:AB:;Jj>J?>:Q:SJ:f;;jA>:q:[B::a:c:e:gJ:v<h>^;>:::::::s:?JQ@vf@:cyt_:;J@nNSxt_j<@Z?B KaTMcTGZK^ZG_dZfbr_hlGF_J>@lQPnAMnQ@NbLYBxj]xoZHni@>YVKciDyDLcy]=D:<[:_xIHby?cnA\\IFbdv e>we?_xYgB@nAlj:F:=b:?b:?B:?j:@j:V:=JF:wyyAbr:B:bKgJ:fc[_hb_ds?h_?^on_j>^?GhoGfnGgioG SZ::RSPN]v;fbk;n_>WdGCGLyVDurB:;:::::jysyAB:^::yayQ:;J:JxyJ:Vu=JDT :=j>r:Or:^:k?;j<>Z:NZ;N:YLpJbNHEms>@[C:>Z::::::::kJ;@j:>:?B:;jysy;J:<: :::::IJ:nd@J:<:=ja:;B:;:::::::::N[:B:yay=J:B::::::nYyA<::::::::::::jys y:>:<:::::::::::::::::::vYxI:;Z::::::::j:>:E:=b:yyyyqryMTyyyyYZt:cs:^;UTR:;Jrf:D :Dj:[V:R:;b:;B>aTXU]fsW;\\:njAN[gwp?yrq?r?yrq? ^:Qsq?:[K<>:US:F[:>:_c_?N[wvp?MZ sW;;;:C:Uk:^:>x;B:MJ:;Nyb<>mDf:^<;d::aJLHJpejDB>KV\\<>B=c=E:cJZ:V:qQ:uI;B:>l;B:;B: DZJ^dcSSZZ:WE:iWkIPZsW;;;JR^:f??J:qax]:JBG:;J:D:js::JZsW;;;JR<:f?=JyD^=VYZ:JBK:@Za\\\\wGZ:njArUiWkIPZsW;;;:jPN:C:[q:N;N`DZ:N:;j jDPRAJ:Hjjq:RXQJJ::f?=J:ihRsW:EJ:^<;Ov@JH<:qQ:[:JBA:@Z<:vGZ:nJ>::UK;^:>X=J@> :_c@`:B:K[:wP>RXQJJ:J< jPF:C:[Q;N;N@B:?J:fhlo@HJVKMjl@j`@PtZ_gdOGe;fZ;Z>[oB:arOM]fcJ::Jdfg_WH :nG]:UeRY]KrJ:J:::_J>nJ?cB?j;Ma<^Z@@[\\ns=j;H^;kAQ^dvExb:B>ZEF:NZ>nj?Q>N[ KDZ<\\:>KbZJ>C:?JEi?fEbZB;;j;F:LJZ:V[:JMJ@ vYxy:J:J>Jw[::^::sg:<:DjZJVDBUXA@C:UK:F;;JSd:Z:VEf:;JDjq:qAB:;JBA:@Z <:vGZ:>i?N[kyp?yR;`q?>>:^:f?=J;NYb<>MJD>B:aJL^WJD^EU@;jC>B=;^<;U@^<;oIJ:VY;><:[V:>Z :b:;JdRSZZ:WmUKZsW;;::::::::6:" }{TEXT -1 2 " ." }}{PARA 15 "" 0 "" {OLE 1 5684 1 "[xm]Br=WfoRrB:::wk;nyyI;G:;:j::>:B>N:F:nyyyyy]::yyyyyy: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: fyyyyya:nYf::G:I:K:M:wAyA::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::_lqvGcMJ:::::::JEf:yyyxI^ :VZHQ:R<:T><::[TEicKmDMIX:A:;f:::::::::J?NZ;vyyyyyY:vYx Y:B:::::::c:;:ElrfH=MtFGYMq>>Wlj:gmlJ::::::>>?jyyiy=J:B::::::F:;jAA:<: =j[vGUMrvC?MoJ::::::::JCN:ry:>:<::::::EJ:FG;J:JyyI?Z:VZ:>:C:W:G:wAK:M: OJ:V;^;f;;jBjA>:[B::a:c:e:gJ:v<V>^>f>n >v>>?F?nYvY:::::::::::::::::::::::::::::::::::::::::::::::::::::::::=Z gJa;[y:HjCRMcDBEDXceV=MC>[[v_?wk>w_;?dnA \\IvbYGbJOxYn];?dni\\IFb:^x?_x_^xIPbYGB<[=we;kAQNteli\\NtyrZ:;H:<:TNE>:UTRcETcTX[US;SGWCF;SK]UW= EWMuUWM@B::P`?oBY:ETV:WCKaTML]nIalHH:EJ:NZ;N:YLpJbNHEms>@[C:>Z::::::::k J;@j:B:?B:;jysy;Z::::::j=>Z:^sAB:<:=ja:;B:;:::::::::N[:B:yay=J:B:::::: nYyA<::::::::::::jysy:>:<:::::::::::::::::::vYxI:;Z::::::::j:>:E:=b:yy yyqryMQyyy?nIJqL:QB:n >^;UTR:;Z;f:F[:[V:;Z;>ZfGl`q?B@CZ:f_;j>:[V:R:D:jq:>Z:N`DZ:F:xGv:@q= FhnJ?cvB:_;<:oql;J:cTTPpsnC<:qAB:>l;Z:b::::JZsW;;;:jPF:C:[Q<>:_c>::UK<^:>X=j@B:_c:;b:^DVH::>RXQJJ::f?=JB:>L>Z;b:;jcbRY=B:u[Zvp?MZsW;;;:jP^:C:[q:F;;JSd:Z:Nfs_QJDne>^_r>::Uk:^:>XCB:SJ: N`DZ:V:Z;b::Y=B:u[[vp?yR;`q?>>: ^:f?CJa<^=VY;Xy B:>l;Z;b:<;vGZ:NBXsUQv]?RXQJJ::f?=J:_AJMTjAvi;fc[_HRS eTOaU:ER:BKRGYVKciDy\\ID:<[:_X=tYKLBxjZ:xo\\RJ:=b:?J;<:=j:VZ:F:CZDFZ :N:AFUDZ@hA>:B:AJ?>Z;b:nFAB:sZER:N:K>dJ;nje>:r:@:=rZn: N:?FDB[:MK:DZPXERQ;B:A::[:FZ;>ZDj;M@Z:V;;J^;yayI:> :>;NY;B:<:J:B>N:F:nyyyyy]::yyyyyy::::::::::::: ::::::::::::::::::::::::::::::::::::::::::::::::::::::::::fyyyyya:nYf: :G:jy;:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::JcvGYMt>^:fBWMtNHm=;:::::::n:;`:Z@[::J bplUTnfln]Aj;J:T:<:=ja^GE=;:::::::::N;?R:yyyyyyA:yayA:<::::::JDJ:j\\FH emj^HMmqnG;KaFFJufF>::::::;K;vyyuy:>:<::::::=J:^^;Z:j:VBYmp>HYLkNG>::: :::::N:MM:>:nyyM;B:AB:;Jj>J?>:Q:S:UJ:v;;JyKB >:]:_J:V<^CRMcDBEDXceV=MC>[[v_?wk>w_;?dnA\\IvbY GbJOxYn];?dni\\IFb:^x?_x_^xIPbYGB<[=we;kAQNteli\\NtyrZr:B:bKgJ:fc[_hb_ds?h_?^on_j>^? GhoGfnGgioGSZ::RSPN]v;fbk;n_>WdGCGLyVDurB:;::EE:iMJ;j<>Z:NZ;N:YLpJbNHEms>@[C: >Z::::::::kB:?R:=J::<:::::::::::::::::::vYxI:;Z:::::::: j:>:E:=b:yyyyqD:Djl;J:ZJ^dcgg_; <:US:^[:>:_cZ<:VH::>RXQJJ:J:_;_:^=;jw; <:[V:>Z;b:;jc`a\\wgfsW;\\:Nx?N[Yvp?yR;`q?>>::UK:DRPNZ>RfARR?B;GFS?sb?B ;CFhB;:Du;D@_=sLkf;^=VYZ:JB?Z:>Z;b::Y]q[:^f@N[Jwp?MZsW;;;JR:Uk:^:>x;>Z:^; N`DZ:VZ:B:usbAwAoY;_d:HjAKMJD@j`@PtZ_gdO?[;fZ;Z>[oB:a:l@::Fv?ZnAH^;kAQ^dvEcy]B:=b:?J;rfZw:b:DRNNZ>BhB:?VD>:S;@EBSHD\\E L:ZlZ:>:sg:Z:f?;B:C:[q:<:;B:;:::Ja@Na`><::::::::::::3:" }{TEXT -1 31 " v pol\341rn\355ch sou\370adnic\355ch, kde " }{TEXT 316 1 "f" } {TEXT -1 48 " je funkce spojit\341 s prvn\355 derivac\355 v intervalu \+ " }{OLE 1 4148 1 "[xm]Br=WfoRrB:::wk;nyyI;G:;:j::>:B>N:F:nyyyyy]::yyyy yy:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::fyyyyya:nYf::G:jy;::::::::::::::::::::::::::::::::::::::::::::::::: ::::::::::::::::::::::::::::::JcvGYMt>^:fBWMtNHm=;:::::::n:;`:Z@[::JbplUTnfln]Aj;J:QZ:B:F:YLpfF>:::::::::J?NZ;vyyyyyY:vYxY: B:::::::c:;:ElrfH=MtFGYMq>>Wlj:gmlJ::::::>>?jyyiy=J:B::::::F:;J<@:<:=j [vGUMrvC?MoJ::::::::JCN:ry:>:<::::::E:MM:>:nyyM;B:AB:;J<<:W:G:wAK:M:OJ :V;^;f;;jA>:wA[J:Fi;^;>:::::::s:?J\\@VnKJ`XCJ: ^;GOv]XCfZ;R;LncpNdP]:V\\QGghGbf_gCRMcDBEDXceV=MC>[[v_?wk>w_ ;?dnA\\IvbYGbJOxYn];?dni\\IFb:^x?_x_^xIPbYGB<[=we;kAQNteli\\NtyrZZ=R:DJ::::::yayYZ:B:CZ:F :;jysy?:;:SF;Z:NZ;N:YLpJbNHEms>@[C:>Z:::::: ::kJ;@j:>Z:NZ:>Z:vYxY:B::::::v::<:::::::::::::::::::vYxI:;Z::::::::j:>:E:=b :yyyyqryMLyyyyYjI:Cc: V[:JMJ@fc[;>:[E:KJ:NyB_x:E:cJZ:VDZ:>Zjx]:JBA:;B :DJ:@CJ:f?=j>>:_c:aTXDpql`q?Bx;F:O:_cZ=vI[oB:arOBU:::c\\_WH:jBjp DpqR>H>ZHK::E<=MC>;YSKZnAH^;kAQ^dZID:<[:_X=tYKLBxjZ:x o\\RJZ:FZZ=>Z;b:CB[]?DB?Zl\\Z:V;n>^;ya yI:Jw[::^:<:::::::::::::::::::::::::::::: :::3:" }{TEXT -1 2 " ." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{SECT 1 {PARA 20 "" 0 "" {TEXT -1 9 "P\370\355klad 1" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 31 "Vypo\350\355tejte d\351lku grafu funkce \+ " }{TEXT 280 2 "ln" }{TEXT -1 18 " mezi dan\375mi body " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 34 "restart:with(plots):with(student): " }}{PARA 7 "" 1 "" {TEXT -1 50 "Warning, the name changecoords has be en redefined\n" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 11 "Zadan\351 body " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 50 "body:=[sqrt(3),ln(sqrt( 3))],[sqrt(8),ln(sqrt(8))];" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%body G6$7$*$\"\"$#\"\"\"\"\"#,$*&F)F*-%#lnG6#F(F*F*7$,$*&F+F*F+F)F*-F/6#F2 " }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 53 "Po\350\355t\341me d\351lku k \370ivky mezi dv\354ma vodorovn\375mi p\370\355mkami" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 144 "p1:=plot(ln(x),x=0..10,color=[blue],lege nd=`ln(x)`):\np2:=plot([1/2*ln(3),ln(2*2^(1/2))],legend=[`1/2*ln(3)`,` ln(2*2^(1/2))`]):\ndisplay(\{p1,p2\});" }}{PARA 13 "" 1 "" {GLPLOT2D 466 466 466 {PLOTDATA 2 "6'-%'CURVESG6%7S7$$!#5\"\"!$\"3O+++X91$\\&!#= 7$$!3!pmmm\"p0k&*!#s%HaF1F+7$$!3]******\\$*4)*\\F1F+7$$!3o******\\_&\\c%F1F+7$$!3%)*** ***\\1aZTF1F+7$$!3Imm;/#)[oPF1F+7$$!3%HLLL=exJ$F1F+7$$!3lKLLL2$f$HF1F+ 7$$!3%)****\\PYx\"\\#F1F+7$$!3gLLLL7i)4#F1F+7$$!3o)***\\P'psm\"F1F+7$$ !3?****\\74_c7F1F+7$$!3M:LL$3x%z#)F-F+7$$!3()HLL3s$QM%F-F+7$$!3]^omm;z r)*!#?F+7$$\"3fVLLezw5VF-F+7$$\"3-.++v$Q#\\\")F-F+7$$\"3%\\LL$e\"*[H7F 1F+7$$\"3=++++dxd;F1F+7$$\"3e+++D0xw?F1F+7$$\"35,+]i&p@[#F1F+7$$\"3+++ +vgHKHF1F+7$$\"3ElmmmZvOLF1F+7$$\"3%4+++v+'oPF1F+7$$\"3UKL$eR<*fTF1F+7 $$\"3K-++])Hxe%F1F+7$$\"3!fmm\"H!o-*\\F1F+7$$\"3X,+]7k.6aF1F+7$$\"3#em mmT9C#eF1F+7$$\"33****\\i!*3`iF1F+7$$\"3;NLLL*zym'F1F+7$$\"3'eLL$3N1#4 (F1F+7$$\"3,pm;HYt7vF1F+7$$\"37-+++xG**yF1F+7$$\"3gpmmT6KU$)F1F+7$$\"3 qNLLLbdQ()F1F+7$$\"3[++]i`1h\"*F1F+7$$\"3A-+]P?Wl&*F1F+7$$\"#5F*F+-%'C OLOURG6&%$RGBG$Fit!\"\"$F*F*F`u-%'LEGENDG6#%*1/2*ln(3)G-F$6%7S7$F($\"3 /+++r2sR5F17$F/Fiu7$F3Fiu7$F6Fiu7$F9Fiu7$F$!3q*et +\\zfH%F17$$\"3<+++-K[V?F[z$!3!e55AQ90*QF17$$\"3;+++qUkCFF[z$!3vWO^4B$ Gg$F17$$\"32+++P`!eS$F[z$!3%HCY$e()ozLF17$$\"3s*****\\Smp3%F[z$!37![09 ?nt>$F17$$\"3)******>ZF\"oZF[z$!3([3$o@l@VIF17$$\"3K+++S&)G\\aF[z$!3N* p`*G^o4HF17$$\"3B+++v1h6oF[z$!3k*[RwdTlo#F17$$\"3W******4G$R<)F[z$!3>N b%3-?U]#F17$$\"3/+++X\\DO&*F[z$!3qw#=5Mp+N#F17$$\"31+++3x&)*3\"F-$!3&R v$R[z`;AF17$$\"3/+++N@Ki8F-$!3CW&zqR%R$*>F17$$\"3*)*****>c'yM;F-$!3z*e &GSG26=F17$$\"3,+++*)4D2>F-$!3IJ$e/;Apl\"F17$$\"3')*****fT:(z@F-$!3y3Q $yw!RB:F17$$\"3?+++!y%*z7$F-$!3SF.6RH>i6F17$$\"33+++XTFwSF-$!3Eoz`:s,u *)F-7$$\"3t*****zY8F9&F-$!3_eEh2C/]mF-7$$\"3&******4z_\"4iF-$!3!fdc#Hj glZF-7$$\"3e*****f;hEG(F-$!3#HZ/!Gv)3<$F-7$$\"3C+++S&phN)F-$!3III$*)f \\ez\"F-7$$\"3%*******)=)H\\5F1$\"3JsDxE\\:7[F[z7$$\"31+++[!3uC\"F1$\" 3zu&)3p$y1@#F-7$$\"35+++J$RDX\"F1$\"3Z!f%=vG8LPF-7$$\"3'******zR'ok;F1 $\"3IN&G9cnj4&F-7$$\"31+++1J:w=F1$\"3;$p-EgMAH'F-7$$\"3))*****zgsO4#F1 $\"3'p%zkDv>*Q(F-7$$\"3!)*****R!RE&G#F1$\"3ID9p<^\"[E)F-7$$\"3\")***** \\K]4]#F1$\"3520V'*yqm\"*F-7$$\"3;+++vB_&GK\"F17$$\"3%)*****HQ*o]RF1$\"3!ynE54!*QP \"F17$$\"3u*****4=lj;%F1$\"3T$Gik*R/F9F17$$\"3M+++V&RY2aF1$\"3oC#zj$)zxo\"F17$$\"3#)*****zdWZh&F1$\"3z]/ $z4'RD6A5S:J=F17$$\"3))*****f.[hY'F 1$\"3_ujct0em=F17$$\"31+++#Qx$omF1$\"3IfyEflP(*=F17$$\"3Q+++u.I%)oF1$ \"35/1/6NCH>F17$$\"3O+++(pe*zqF1$\"3y\\:$R2os&>F17$$\"3=+++C\\'QH(F1$ \"3o_CVtN.()>F17$$\"3Q+++8S8&\\(F1$\"3YB\\r6SD9?F17$$\"3t*****\\?=bq(F 1$\"3>[')=An$>/#F17$$\"3N+++2s?6zF1$\"35%=gzQ!Go?F17$$\"3K+++IXaE\")F1 $\"3'f%)\\h!e8&4#F17$$\"3y+++l*RRL)F1$\"3X01NHjL?@F17$$\"3S*****HvJga) F1$\"3+kVv_qYX@F17$$\"3;+++8tOc()F1$\"3a'pV'G6yp@F17$$\"3?******[Qk\\* )F1$\"33kr3QPh\">#F17$$\"3a******o0;r\"*F1$\"3<\\]wRQ1;AF17$$\"3E***** \\w(Gp$*F1$\"3HR!)3\"3PuB#F17$$\"3C******zE`!e*F1$\"37`sx$>L(fAF17$$\" 33+++<5s#y*F1$\"3]Lr%zm<1G#F17$Fht$\"3!f/%*H4&e-BF1-F[u6&F]uF`uF`u$\"* ++++\"!\")-Fbu6#%&ln(x)G-%+AXESLABELSG6%Q!6\"Fg^m-%%FONTG6#%(DEFAULTG- %%VIEWG6$;F(FhtF\\_m" 1 2 0 1 10 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 1 "1/2*ln(3)" "ln(2*2^(1/2))" "ln(x)" }}}}{EXCHG {PARA 0 " " 0 "" {TEXT -1 26 "Dosad\355me do prvn\355ho vzorce" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 55 "i1:=Int(sqrt(1+(D(ln)(x))^2),x=body[1][1] ..body[2][1]);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#i1G-%$IntG6$*$,& \"\"\"F**&F*F**$)%\"xG\"\"#F*!\"\"F*#F*F//F.;*$\"\"$F1,$*&F/F*F/F1F*" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 11 "Uprav\355me na" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 49 "i1p:=Int(sqrt(1+x^2)/x,x=body[1][1] ..body[2][1]);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$i1pG-%$IntG6$*&,& \"\"\"F**$)%\"xG\"\"#F*F*#F*F.F-!\"\"/F-;*$\"\"$F/,$*&F.F*F.F/F*" }}} {EXCHG {PARA 0 "" 0 "" {TEXT -1 19 "Zavedeme substituci" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 25 "changevar(1+x^2=u,i1p,u);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#-%$IntG6$,$*(\"\"#!\"\"%\"uG#\"\"\"F(,&F,F)F *F,F)F,/F*;\"\"%\"\"*" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 22 "D\351lka k\370ivky je rovna " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "d1: =value(%);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#d1G,(\"\"\"F&*&#F&\" \"#F&-%#lnG6#F)F&!\"\"*&#F&F)F&-F+6#\"\"$F&F&" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 23 "P\370\355m\375 v\375po\350et integr\341lu" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "d2:=value(i1p);" }}{PARA 11 "" 1 " " {XPPMATH 20 "6#>%#d2G,(\"\"\"F&-%(arctanhG6##F&\"\"$!\"\"-F(6##F&\" \"#F&" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 36 "Zjednodu\232\355me a p \370evedeme na \350leny s " }{TEXT 281 2 "ln" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 25 "simplify(convert(d2,ln));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,(\"\"\"F$*&#F$\"\"#F$-%#lnG6#F'F$!\"\"*&#F$F'F$-F)6#\" \"$F$F$" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{SECT 1 {PARA 20 "" 0 "" {TEXT -1 9 "P\370\355klad 2" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 27 "Vypo\350 \355tejte d\351lku asteroidy" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 34 "restart:with(plots):with(student):" }}{PARA 7 "" 1 "" {TEXT -1 50 "Warning, the name changecoords has been redefined\n" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 25 "Parametrick\351 rovnice jsou" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 27 "f:=[a*cos(x)^3,a*sin(x)^3];" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"fG7$*&%\"aG\"\"\")-%$cosG6#%\"xG\" \"$F(*&F'F()-%$sinGF,F.F(" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 30 "a pr oto pou\236ijeme druh\375 vzorec" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 19 "Graf asteroidy pro " }{TEXT 282 3 "a=1" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 36 "plot([cos(x)^3,sin(x)^3,x=-Pi..Pi]);" }}{PARA 13 " " 1 "" {GLPLOT2D 466 466 466 {PLOTDATA 2 "6%-%'CURVESG6$7in7$$!\"\"\" \"!$\"3%ym!4kq`-p!#Y7$$!3$)=M)[J47$$!35#4ejZ.4\"zF1$!3X/zk F1$!3gf#QI')Q$f7F17$$!3%[8R:Pb$Q\\F1$!3+K(QRC\"\\)H#F17$$!3!)R0p7)QV#F4$!3Bbj3zC#)H(*F17$$!3)HXHVlyF-$!#@$!3oj>(=A :D$**F17$$\"3URlly8!*G@!#F$!2'*oc>l%******!#<7$$\"3mQRHmflDKFeo$!38l?! Q+K&H**F17$$\"3I/B-\\_DHDF4$!39dUpvD%Gs*F17$$\"3i44H>3$H&=F:$!3u!*=%QS l#o*)F17$$\"39*R/jHI:P&F:$!3IGzftqXUzF17$$\"3A(*>c(z0?G\"F1$!3$3`-F/n+ W'F17$$\"3:MD4A_N5dEQ\\F1$!39ObsA2c)H#F17$$\"3m 7sKO$fI\\'F1$!31P9Z82B^7F17$$\"3'pn=M#yplyF1$!3aTEXRwz(o&F:7$$\"3WEg;h YVC!*F1$!3c=6y;a6,&Q)y(G)H!#D7$$\"34EF- i[]M**F1$\"3+O!oaXW**)GFeo7$$\"3Y'*z`g9#ys*F1$\"3'zJd>(f4hCF47$$\"33@T \\\\,s`!*F1$\"3)G2O.o:Qi\"F:7$$\"3?-2$)GDi[zF1$\"3cq23?NVY`F:7$$\"3Kt \"3;?)eElF1$\"3X9!*[K4$>B\"F17$$\"3`>oKTm9<]F1$\"3Y+BQd5'yB#F17$$\"3]8 Ze\\_w#H%F1$\"3W[$4;<\\*GGF17$$\"3o?l%>m7^f$F1$\"37^>Q^zGwMF17$$\"31!Q ECb5)pGF1$\"3%z9T:m2gC%F17$$\"3w\\$y/T**G@#F1$\"3)*3$4498*\\]F17$$\"3y !yD\\$R&=p\"F1$\"3q[Zcw#pFy&F17$$\"3u,j59$HIC\"F1$\"3,S))f1\"zs]'F17$$ \"3)4Yy\\%>8q`F:$\"3K9rz2.!G%zF17$$\"3?&)3,WCBv'\\F17$$!3%))=QV2_!yNF1$\"31buy*\\& =$\\$F17$$!3gu*)R4SsI\\F1$\"3?ds?3%4WI#F17$$!3o=*4%4*Hp_'F1$\"3,*4i[# \\tJ7F17$$!3YJdy&3N0&yF1$\"3q^)4(f^5^dF:7$$!3gV$p&*yE%***)F1$\"3'=2m\" 4Q8o0 " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "assume(a,positive);" }} }{EXCHG {PARA 0 "" 0 "" {TEXT -1 57 "K\370ivka je symetrick\341, proto budeme po\350\355tat pouze integr\341l" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 57 "i2:=4*Int(sqrt(Diff(f[1],x)^2+Diff(f[2],x)^2),x=0..Pi /2);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#i2G,$*&\"\"%\"\"\"-%$IntG6$ *$,&*$)-%%DiffG6$*&%#a|irGF()-%$cosG6#%\"xG\"\"$F(F9\"\"#F(F(*$)-F16$* &F4F()-%$sinGF8F:F(F9F;F(F(#F(F;/F9;\"\"!,$*&F;!\"\"%#PiGF(F(F(F(" }}} {EXCHG {PARA 0 "" 0 "" {TEXT -1 11 "V\375sledek je" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "simplify(value(%));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,$*&\"\"'\"\"\"%#a|irGF&F&" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 0 "" }}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}} {SECT 1 {PARA 20 "" 0 "" {TEXT -1 9 "P\370\355klad 3" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 34 "D\351lka oblouku cykloidy na <0,2*Pi>" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 34 "restart:with(plots):with(stu dent):" }}{PARA 7 "" 1 "" {TEXT -1 50 "Warning, the name changecoords \+ has been redefined\n" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 13 "Parametri zace" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 31 "f:=[a*(x-sin(x)),a* (1-cos(x))];" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"fG7$*&%\"aG\"\"\", &%\"xGF(-%$sinG6#F*!\"\"F(*&F'F(,&F(F(-%$cosGF-F.F(" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 6 "Nech\235 " }{TEXT 284 3 "a>0" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "assume(a>0);" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 22 "Vykresl\355me graf funkce" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 60 "plot([(t-sin(t)),(1-cos(t)),t=0..2*Pi],scaling=constr ained);" }}{PARA 13 "" 1 "" {GLPLOT2D 466 466 466 {PLOTDATA 2 "6&-%'CU RVESG6$7S7$$\"\"!F)F(7$$\"3e;cW/cSxU!#@$\"3%R#3*QgiPO*!#?7$$\"3!e+5`Gi 4z#F0$\"3Sn)o<,z>E$!#>7$$\"3=%\\Q;ZV:#)*F0$\"3!)\\'*Q6_89vF67$$\"3s^># 3I_\"zBF6$\"3#)RJ?\"3HpM\"!#=7$$\"3]e/y%)H\\tYF6$\"3eW\\7nzu&4#FA7$$\" 3=rfe)=K:y(F6$\"3[]1OJeUQA>'\\WFA$\"3?x[QxJ'[l)FA7$$\" 3x'ph27ORr&FA$\"3B/u(p5(f+5!#<7$$\"3['zTJP\\z;(FA$\"3q\\T#fB[i8\"Fdo7$ $\"3>&p6Ev5Du)FA$\"3[:d.:#=YE\"Fdo7$$\"3/d\"GX^+;.\"Fdo$\"3%zV1J*3Jx8F do7$$\"3:(HTIn>dB\"Fdo$\"3u\\AOF:B/:Fdo7$$\"3^+4r2)>AU\"Fdo$\"3O1cjZ*[ Rg\"Fdo7$$\"37$*QIe8]`;Fdo$\"3]CknM;$*3b5msp=Fdo$\"3Ie_b ?/U!z\"Fdo7$$\"3]Y*4&3/k<@Fdo$\"3'z-\")RnIf'=Fdo7$$\"3!fRu^npAO#Fdo$\" 3>XOJFO4B>Fdo7$$\"3p<*)\\F3ICEFdo$\"3q!RS4Nij'>Fdo7$$\"3Ixg&G[%3pGFdo$ \"3!ypT>+.2*>Fdo7$$\"3KE`uH+RNJFdo$\"3+E$G4>&****>Fdo7$$\"3#\\*)H\"4E. 7MFdo$\"3O0B(=!Q%3*>Fdo7$$\"3'G]t4$o$3l$Fdo$\"3?b`sYlSn>Fdo7$$\"3j:6V= /d/RFdo$\"3@:LI@iKE>Fdo7$$\"3%HKb(Qt(*fTFdo$\"3gF)4Kh=u'=Fdo7$$\"3LY8W $y`6S%Fdo$\"3K#*z7xng%z\"Fdo7$$\"3\\h+c,S_CYFdo$\"3mK\"4Pfc5r\"Fdo7$$ \"3Mm!QO\\L\"f[Fdo$\"3Q%y6Ike[g\"Fdo7$$\"3I$Hx9UFk0&Fdo$\"35Aa#=%)o!* \\\"Fdo7$$\"3!)>%>7\\L;D&Fdo$\"3'*f?<[\"ysP\"Fdo7$$\"3]uoz;T%QT&Fdo$\" 3wZ#H\"el'3E\"Fdo7$$\"3!=\\OGp%\\ubFdo$\"33@T_xm:H6Fdo7$$\"3:mWQ=pK4dF do$\"3!zOHMQdI+\"Fdo7$$\"3$o77H1%>LeFdo$\"3spxOYnF7()FA7$$\"3(z@TH0mv$ fFdo$\"3ungHa'e\\W(FA7$$\"35XGdRicHgFdo$\"3C:@W9;?khFA7$$\"3Z/qowO?-hF do$\"3k(Q-RU*p'*\\FA7$$\"31UI8X3JhhFdo$\"3!3v60g\\1*QFA7$$\"3H)*HI_+11 iFdo$\"3#fRKNh*p+HFA7$$\"3]'=)=I4JOiFdo$\"3]S\"yig@)*4#FA7$$\"35r[&G$G '*fiFdo$\"32g)*y$[icK\"FA7$$\"3/L^'=)R*GF'Fdo$\"3-s;%yY!**\\xF67$$\"3+ \"*=`-Y9!G'Fdo$\"3OR8x286`MF67$$\"3]w>MG;w#G'Fdo$\"3Hz?W.kW/$*F07$$\"3 C'ezrI&=$G'FdoF(-%'COLOURG6&%$RGBG$\"#5!\"\"F(F(-%(SCALINGG6#%,CONSTRA INEDG-%+AXESLABELSG6$Q!6\"Fe[l-%%VIEWG6$%(DEFAULTGFj[l" 1 2 0 1 10 0 2 9 1 4 1 1.000000 45.000000 45.000000 0 0 "Curve 1" }}}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 17 "Po\350\355t\341me integr\341l" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 55 "i3:=Int(sqrt(Diff(f[1],x)^2+Diff(f[2],x)^ 2),x=0..2*Pi);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#i3G-%$IntG6$*$,&* $)-%%DiffG6$*&%#a|irG\"\"\",&%\"xGF1-%$sinG6#F3!\"\"F1F3\"\"#F1F1*$)-F -6$*&F0F1,&F1F1-%$cosGF6F7F1F3F8F1F1#F1F8/F3;\"\"!,$*&F8F1%#PiGF1F1" } }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 15 "D\351lka k\370ivky je" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "value(%);" }}{PARA 11 "" 1 " " {XPPMATH 20 "6#,$*&\"\")\"\"\"%#a|irGF&F&" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }} }{SECT 1 {PARA 20 "" 0 "" {TEXT -1 9 "P\370\355klad 4" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 67 "Vypo\350\355tejte d\351lku kardioidy zadan\351 \+ v pol\341rn\355ch sou\370adnic\355ch rovnic\355" }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 34 "restart:with(student):with(plots):" }}{PARA 7 "" 1 "" {TEXT -1 50 "Warning, the name changecoords has been redefined \n" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 18 "rce:=1-cos(theta);" } }{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$rceG,&\"\"\"F&-%$cosG6#%&thetaG!\" \"" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 4 "pro " }{OLE 1 4148 1 "[xm]Br =WfoRrB:::wk;nyyI;G:;:j::>:B>N:F:nyyyyy]::yyyyyy:::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::fyyyyya:nYf::G:jy;::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: ::::::JcvGYMt>^:fBWMtNHm=;:::::::n:;`:Z@[::JrIUVTnfln ]Aj;J:QZ:B:F:YLpfF>:::::::::J?NZ;vyyyyyY:vYxY:B:::::::c:;:ElrfH=MtFGYM q>>Wlj:gmlJ::::::>>?jyyiy=J:B::::::F:;J;@J:B:F:AlqfG[maNFO=;::::::::_J ;Zy=J:B::::::f:FG;J:JyyI?Z:VZ:>:C:W:G:wAK:M:OJ:V;^;f;;jA>:wA[J:FZK^ZG_dZfbr_hlGF_J>@lQPnAMnQ@NbLYBxj]xoZHni@>YVKciDyDLcy]=D:<[:_xIHby?cnA\\IFbdve>we?_xYgB @nAlj:F:=b:?b:?B:?j:@j:V:=J=]<^Z@`f\\Vn<^Z>@q=Fh<^Z@<;B\\_K;L J<=v;::::::yayYZ:Jr:OV::;j<>Z:NZ;N:YLpJbNHEms>@[C:>Z::::::::kJ;@j:>Z:NZ:>:yayA: <::::::IZ:nd=Z:j:vCJ::<:::::::::::::::::::vYxI:;Z::::::::j:>:E:=b:yyyyqr;>r@V<;JMTjA^=yyyxY:@E Z:F[f;^@sJ:Z:b:;B>cTTUUSZZ:WE:iWkIxW;XkIxW;CjO xW;JR^:f_;J?JSd::[cFSF;Hj<<:c:Od:s:qAB:>L=B:@J:DZJVdscRYEUXQZB:=c; OrViWkIPZsW;;;Z::Uk:^:>x;B:O:_cL;J:@Zjq :HJ@ >;^G;J:J:aJgu?P]:VH>ZHK::E<=MC>;Y;Bw[j]BN_ALyDB:P>:<[=SJvk?cDr]:_K;LJ<=fjk?B:G ;Sjysy=J:>:^=:sg:Z:B:=J:>[cQZ:>::::WTJWTLB:::::::::::::::::::::::::::::::::: ::::1:" }{TEXT -1 2 " ." }}{PARA 0 "" 0 "" {TEXT -1 18 "Nakresl\355me \+ obr\341zek" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 29 "polarplot(rce ,theta=0..2*Pi);" }}{PARA 13 "" 1 "" {GLPLOT2D 456 456 456 {PLOTDATA 2 "6$-%'CURVESG6$7ao7$$\"\"!F)F(7$$\"3G*z)y`D3w#*!#?$\"3q[T(*ySTy7F-7$ $\"3]hm.TRdbJ!#>$\"3_MW%pTNNE)F-7$$\"3a\">R;$H^\\pF3$\"3q]-[?&3x&GF37$ $\"3KmSA'G2b;\"!#=$\"3q+:eIbP^nF37$$\"3%36aH,Kll\"F>$\"3UH+ar$oPG\"F>7 $$\"377;@$[)Gm?F>$\"3E\"p7$$\"3%\\0^ml_`P#F>$\"3+a-QjdRsIF>7$ $\"3eruN(R))**\\#F>$\"3ID1SO8p7$$\"3A^A>aHzgBF>$\"3dJxHK%e6r&F>7$$ \"3I%p3=pGw)=F>$\"3<'fYZnPBB(F>7$$\"3]7'fa^(>k6F>$\"3)y&\\=*\\0id)F>7$ $!3'y,n99NY(f!#@$\"3xrDgGpf+5!#<7$$!3#e#f;x\"=\"[:F>$\"3v(RIHT_c7\"Fdo 7$$!3yPSkZ,TYLF>$\"3[E&)*=pQ&>7Fdo7$$!3qaJ7Dm=\\UF>$\"3!R7bI6e8D\"Fdo7 $$!3qc@jJSu'>&F>$\"3if$RfB4bF\"Fdo7$$!3omJP7kMrjF>$\"3Wdc!p(HZ$H\"Fdo7 $$!3IpJ[0'4[e(F>$\"3)okHZ(p+*H\"Fdo7$$!3%G:s=49@j)F>$\"3!z$ej3\"4NH\"F do7$$!3%eid)*yKqo*F>$\"3CV-D3UQy7Fdo7$$!3QS([mMf54\"Fdo$\"3?fe^w]Z[7Fd o7$$!3%=T@tp::@\"Fdo$\"3z9ChG0F07Fdo7$$!3]vARE4F:8Fdo$\"3!HP\"=*\\Xg: \"Fdo7$$!3W4gyh[=:9Fdo$\"3qe#*f;%[n4\"Fdo7$$!3**Q->jM6>:Fdo$\"3Q?S.#>L 0-\"Fdo7$$!3`lA71mw:;Fdo$\"3PnlHgUrK$*F>7$$!3;gM3H%p)*p\"Fdo$\"3vzx0*= *[1%)F>7$$!3Q325sa>v7$$!3\"R=nk(3WV=Fdo$\"3]vO!R+ 08E'F>7$$!3eHaDW&=-!>Fdo$\"3K*f`J(o7$$!3CHlO&e+;%>Fdo$\"3o>4#)of> ,RF>7$$!3I*)z**Ra>s>Fdo$\"3C^OZT@?3FF>7$$!3-\">\")QG/F*>Fdo$\"3)R\"Hj' HSGR\"F>7$$!3I0\"3Gd&)***>Fdo$\"3#f3l&eRg-iF-7$$!3S:;IA4W$*>Fdo$!3\\[F u&yU3K\"F>7$$!3Qp5eT_hs>Fdo$!3A9ViP;!zo#F>7$$!3$GYemX(3V>Fdo$!3'zD?)HI N_QF>7$$!3*>VsL(>G.>Fdo$!3K'z!*z?I?)\\F>7$$!3))H()4:iC\\=Fdo$!3;l]GS>_ ^hF>7$$!3o$Rx&*[1Wy\"Fdo$!37Z8_z9!pD(F>7$$!3EnApmv$pq\"Fdo$!3p#[&[z6!* >$)F>7$$!3+)o_PmL)>;Fdo$!3'Q9.o^%)=H*F>7$$!3^(Riw$zRE:Fdo$!3@FCX+cb95F do7$$!3@FdQ2n+E9Fdo$!3CE+36'\\&*3\"Fdo7$$!30ZZ&*G2UB8Fdo$!3kt\\)e\"zm^ 6Fdo7$$!3)pOmJ2em@\"Fdo$!36h,l.M5.7Fdo7$$!3oS%**>T&o%4\"Fdo$!3'*3UcU#z tC\"Fdo7$$!3;;%y.@Erq*F>$!3U!fG6n,!y7Fdo7$$!3eXzSXfw*e)F>$!3-Y!H.v9RH \"Fdo7$$!3[.R12bQ\"[(F>$!35kU80m.*H\"Fdo7$$!3ukCx%\\d1K'F>$!3;eR:(peHH \"Fdo7$$!3o*)>g#\\ph>&F>$!356rx%G(\\v7Fdo7$$!3^:eWX()o=UF>$!3IU+/p&G/D \"Fdo7$$!3C![%z#>z\"*G$F>$!3z&[L\"*))3s@\"Fdo7$$!3y4>t[7Qe9F>$!3YF=C'3 *p>6Fdo7$$!3U_?!G-Jn1$F-$!3h1@L&p_I+\"Fdo7$$\"3f7x$e8+>7\"F>$!3D0kmP*R (R')F>7$$\"3?w#yyrF>$!3a!\\$y5`%y>(F>7$$\"3)p.$4gMYkBF>$!3-?wutxo# p&F>7$$\"3KU(>1\"*)***\\#F>$!3h#>h<0;jK%F>7$$\"3IEb6pT$pP#F>$!3skgt7B: !3$F>7$$\"3#ppP()y$Hf?F>$!3dMl$f6#)G/#F>7$$\"3S*))e%Gl*)e;F>$!3#zT_bsm tG\"F>7$$\"3-qqp\"QC*\\6F>$!3O1OjW%pef'F37$$\"3A/`KXpO\\rF3$!31:\\cn>Z \"*HF37$$\"3UcFtI:(QL$F3$!3c0^gv(*)f**)F-7$$\"3S`vc!oty@*F-$!3oY\")oNZ Im7F-F'-%'COLOURG6&%$RGBG$\"#5!\"\"F(F(-%%VIEWG6$%(DEFAULTGFbal" 1 2 0 1 10 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 0 "Curve 1" }}}} {EXCHG {PARA 0 "" 0 "" {TEXT -1 45 "Pou\236ijeme t\370et\355 vzorec. P o dosazen\355 dost\341v\341me" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 51 "Int(sqrt(rce^2+(Diff(rce,theta)^2)),theta=0..2*Pi);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#-%$IntG6$*$,&*$),&\"\"\"F+-%$cosG6#%&thetaG!\" \"\"\"#F+F+*$)-%%DiffG6$F*F/F1F+F+#F+F1/F/;\"\"!,$*&F1F+%#PiGF+F+" }}} {EXCHG {PARA 0 "" 0 "" {TEXT -1 26 "Spo\350teme d\351lku t\351to k\370 ivky" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "value(%);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"\")" }}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{SECT 1 {PARA 20 "" 0 "" {TEXT -1 9 "P\370\355kla d 5" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 37 "Vypo\350\355tejte d\351lku \+ Archimedovy spir\341ly" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "r ce:=a*theta;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$rceG*&%\"aG\"\"\"%& thetaGF'" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 3 "pro" }{TEXT 285 4 " a> 0" }{TEXT -1 36 " od po\350\341tku do konce prvn\355ho z\341vitu." }} {PARA 0 "" 0 "" {TEXT -1 23 "Nakresleme obr\341zek pro " }{TEXT 286 3 "a=1" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 31 "polarplot(theta,the ta=0..2*Pi);" }}{PARA 13 "" 1 "" {GLPLOT2D 456 456 456 {PLOTDATA 2 "6$ -%'CURVESG6$7en7$$\"\"!F)F(7$$\"3\"f&f3#*)G<$o!#>$\"3ItC!fNUbo%!#?7$$ \"3%zshZRJnN\"!#=$\"3[ewJkV#)p=F-7$$\"3*HW$>L2aF>F4$\"3f0kA6_F4$\"3H%HWmze&QSF47$$ \"3W(G@K$F4$\"3E/HfnR&GF\"F^o7$$\"3\"Q;;5`Y9$>F4$\"3_#Q7/1CGU\"F ^o7$$!3_+$Qd$)**GQ*!#@$\"3q4!yO:$Rr:F^o7$$!3-%po*)H(REBF4$\"3u=#4$[qa \"p\"F^o7$$!3e,+4g>Gl[F4$\"37]^JqS1td(yoF^o$\"3WE)**3 :k0_\"F^o7$$!3'[!3Frr$oE#F^o$\"3@'oc=lJ$48F^o7$$!3q0DT%3&fNDF^o$\"3Q\\ PJ0(oj0\"F^o7$$!3[d0*=#)eXy#F^o$\"3.MDB\\*H2T(F47$$!3!)>?jB$)=xHF^o$\" 3E-8_\"*)\\#)3%F47$$!3\"*>?&fCw%QJF^o$\"34#p`l!GVL(*F07$$!3KC+S%Q9qC$F ^o$!30=S1<$3WU%F47$$!3K*GQLtooG$F^o$!3y3#[DT1Pg)F47$$!37;x>n\"QzE$F^o$ !3t\\nAE#>!H8F^o7$$!3[*[K6TKo<$F^o$!3W`ga$yKB#=F^o7$$!3\\YzKR9w9IF^o$! 3??9u)*yW.BF^o7$$!3i&3K;mH$)y#F^o$!3%e')z9:lsv#F^o7$$!3E/s#)y+UdCF^o$! 3::A@W;MNKF^o7$$!3Wf!QI6J54#F^o$!3Zb([JHz2j$F^o7$$!3\\_?on#H>j\"F^o$!3 E*pneawe+%F^o7$$!3k'yg9'oXg6F^o$!3_?DU>/W%H%F^o7$$!3s$>wYE$3>fF4$!3>\" GtOG&[WXF^o7$$!3XzmLPK#)R9F-$!3wL@o\"e4$4ZF^o7$$\"3YqIMIx`MiF4$!3P6v>x -@,[F^o7$$\"3=#zURC\\+F\"F^o$!3]A!*G.&od![F^o7$$\"3'fZ%*G5\"ee>F^o$!31 ]EKeW[:ZF^o7$$\"3+AQAhF\"*>EF^o$!3W,Z')G-$Q`%F^o7$$\"3a%>(R*=&\\!G$F^o $!3a.qk&oK5D%F^o7$$\"3B!Q5$eW)e!RF^o$!3_p@ujivuQF^o7$$\"3%RZg$*yP%zTF^ o$!3afl#y,m1n$F^o7$$\"3xHF5/(\\CW%F^o$!3sbJmL(4vW$F^o7$$\"3$3$[\"))zK# HZF^o$!3wr;19o**oJF^o7$$\"3yl(*HU!4&)*\\F^o$!3)e'Hn0F5nGF^o7$$\"3EIK7e m)HA&F^o$!3OX.w/x# \\=KcF^o$!3[w+:\\GoG>F^o7$$\"3Dqb#\\#=w6eF^o$!3eA)[XHB#o:F^o7$$\"3=n`* ogR='fF^o$!3N9W[N9x37F^o7$$\"3Idki$et%*3'F^o$!3)31[w'*4aO)F47$$\"3S:*) eS;X+iF^o$!3,ZWvco-RUF47$$\"3?+++3`=$G'F^o$\"3qF=n%R6[:&!#E-%'COLOURG6 &%$RGBG$\"#5!\"\"F(F(-%%VIEWG6$%(DEFAULTGF\\^l" 1 2 0 1 10 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 0 "Curve 1" }}}}{EXCHG {PARA 0 "" 0 " " {TEXT -1 45 "Pou\236ijeme t\370et\355 vzorec. Po dosazen\355 dost \341v\341me" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 51 "Int(sqrt(rce ^2+(Diff(rce,theta)^2)),theta=0..2*Pi);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#-%$IntG6$*$,&*&)%\"aG\"\"#\"\"\")%&thetaGF+F,F,*$)-%%DiffG6$*&F* F,F.F,F.F+F,F,#F,F+/F.;\"\"!,$*&F+F,%#PiGF,F," }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 31 "D\351lka prvn\355ho z\341vitu spir\341ly je" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 32 "assume(a>0):\nsimplify(value (%));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,$*&#\"\"\"\"\"#F&*&%#a|irGF& ,&*(F'F&%#PiGF&,&*&\"\"%F&)F,F'F&F&F&F&F%F&-%#lnG6#,&*&F'F&F,F&F&*$F-F %F&F&F&F&F&" }}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{SECT 1 {PARA 5 "" 0 "" {TEXT -1 22 "Objem rota\350n\355ho t\354lesa" }}{EXCHG {PARA 0 "" 0 " " {TEXT -1 19 "P\370i v\375po\350tu objemu " }{OLE 1 4148 1 "[xm]Br=Wf oRrB:::wk;nyyI;G:;:j::>:B>N:F:nyyyyy]::yyyyyy::::::::::::::::::::::::: ::::::::::::::::::::::::::::::::::::::::::::::fyyyyya:nYf::G:jy;:::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::JcvGYMt>^:fBWMtNHm=;:::::::n:;`:Z@[::JrIUVTnfln]Aj ;JZM:<:=ja^GE=;:::::::::N;?R:yyyyyyA:yayA:<::::::JDJ:j\\FHemj^HMmqnG;K aFFJufF>::::::;K;vyyuy:>:<::::::=J:>Y>:F:AlqfG[maNFO=;::::::::_J;Zy=J: B::::::f:;jn>:;:wyyN::W:YJ:>\\:B:]:_J:nYvY :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: ::F:DZ:B:::kw:SJ:aJguOnAJ@^:GJ;@J>>_QYw>V@f@>oGnw>>[Siw>Z:^=;J;^b;aU^x eQ<>:SJM_seQWdG_doB:arOMeU=DUSeJ=uVMuRAtUCUS[TRIUSamBPJd`ppPps< LaPpuErJYUW_UTEeV;cMEM:@KkTZ:j:nyyYZDjysyAbm?:;JZ=Z:Z@o<;B:UTRcETcTX[US; SGWCF;SK]UW=EWMuUWM@B::P`?oBY:ETV:WCKaTML]nIalHH ^q_Ww>vyyyyyYZ:Jr:OT:@[C:>Z::::::::kJ;@j:>Z:NZ:>Z:vYxY:B::::::v:Z:>:: :::::::J?:<::::::::=J:f:FZryMLyyy?r;JLD:QB:n>^;UTR:;Jr>;Ny:DJ<<:US:f:D:;b:EB:^<;W:cLH>Z:Vy<>jx]:JBAj:Z<>ZJ^dcgg_;< :Uk:F;;JSd:[ oB:arOBU:::c<::]:UeRYEUrJ:J::E<=MC>;YSKZnAH^;kAQ^dZID :<[:_X=tYKLBxjZjirQE\\;;Jw[::^::Uk;^Z:JrAj:<:;B:;:::Ja@Na`>>yI:TMK?Z:F:CC:\\:[Rj=e:<::vq;BJ::[V:;jychAb:=RFAlq^:NB=Mp^HMmkJ:::::VBY=FGEMs>>W:B>N:F:nyyyyy]::yy yyyy:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::fyyyyya:nYf::G:I:K:wAyA:::::::::::::::::::::::::::::::::::::::::: ::::::::::::::::::::::::::::::::::::JcvGYMt>^:fBWMtNHm=;:::::::n:;`:Z@[::JrIUVTnfln]Aj;JZ\\:<:=ja^GE=;:::::::::N;?R:yyyyyyA :yayA:<::::::JDJ:j\\FHemj^HMmqnG;KaFFJufF>::::::;K;vyyuy:>:<::::::=J:f d;Z:j:VBYmp>HYLkNG>::::::::N:MM:>:nyyM;B:AB:;J<>:W:G: wAK:M:OJ:V;^;f;;JB:a:c:e:gJ:v< hCow>Z:::::::^=N:CTjmS:^xeQ<>:SJM_seQWdG_doB:arOMeU=DUSeJ=uVMuR AtUCUS[TRIUSamBPJd`ppPpsErJYUW_UTEeV;cM EM:@KnjwRI?B;CFj=Jyyy;d:yay YZHQ:>:;H:<:TNE>Z:fc[_hb_ds?h_?^on_j>^?GhoGfnGgioGSZ::RSPN]v;fbk;n_>Wd GCGLyVDurB:;:::clnfGEms>>WllvYxy;<:CZ:F:;jysy?Z:>:>hEjFP:sW;@[C:>Z::::::::kJ;@j:>:?B:;B:yayA:<::::::IJ: ny?J:<:=ja:;J::::::::::OB::<::::::wyyyA<::::::::::::jysy:>:<::: ::::::::::::::::vYxI:;Z::::::::j:>:E:=b:yyyyqryMZyyy?^DB:;E;^;UTR:;Z;>;;JwE:aB:;J:b :CB:l;J:ZJ^dcgg_KaBBJq@C:Uk:F;;JSd:;B:=B:N`s _q;f:^<;g:Gh;s:qQ:uI<:[V:B:D::::>RXQJJ::f??J:KSD[T:Hj <<:cjngc>^=ABVAjA@a;>ZklZDN:?FDDJ:HRvZ:VB=L`>CYlc^D;:YE:Umc>HEmkfAALWB:>l;F:;B:;b:<;VH::>RXQJJ:>`::Uk:^:>X?B:MJ:N@B:=J:Nfc^q;:cJYLjaLJH>Z: VYZ:JBA:;J:D::::>RXQJJ::f??Jn<^Ds:qQ:[:JBA:;J:D ::::>RXQJJ::f?=JPj:qAB:>L> Z;b:VdscRYEUXQZB:=D:UK;^:>x;F:MJ:N`DZ:F:;B:[UDHjl;>:@Z<:vGZ:^gBN[wyp?yR;`q?>>::Uk:^:>X?j>>:_c^=;jw?rw]:JBA:@Z<:vGXA:_YD;F; K_:n>fb;fc[_Hc\\_gdOGa;fZ;R;L>P]:V\\Q[f;::^DPps:JqFv?RJLYBvBYVKdj:DJ;NZ:j:F: AB:=J<njw:Cn;KbZ:>:>;Z:>::::WTJWTLB;Y;Bw[j]BN_ALyDB:P>:<[=SJvk?cD r]\\IFBZYgB@>j:DJ;DJ;<:=j:V:=J<:HRmJHr<@:?J>[DN:?FDrZkE:?J;aB:oa:B::CZ:f?=JHB:qQBv:::::::::5:" }{TEXT -1 26 " v p\370 \355pad\354, kdy t\354leso " }{TEXT 288 1 "V" }{TEXT -1 31 " vznik\341 rotac\355 rovinn\351 oblasti " }{OLE 1 5172 1 "[xm]Br=WfoRrB:::wk;nyy I;G:;:j::>:B>N:F:nyyyyy]::yyyyyy:::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::fyyyyya:nYf::G:I:K:wAyA:::::::::::::: ::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::JcvGYM t>^:fBWMtNHm=;:::::::n:;`:Z@[::JrIUVTnfln]Aj;J:a:<:=j a^GE=;:::::::::N;?R:yyyyyyA:yayA:<::::::JDJ:j\\FHemj^HMmqnG;KaFFJufF>: :::::;K;vyyuy:>:<::::::=J:>q;Z:j:VBYmp>HYLkNG>::::::::N:MM:>:nyyM;B:AB:;Jj>J?>:Q:S:UJ:F:iZ: >=F=N=V=^=f=n=v=>>:SJM_seQWdG_doB:arOMeU=DUSeJ=uVMuRAtUCUS[TRIUSam BPJd`ppPpsErJYUW_UTEeV;cMEM:@K:;H:<:TN E>:UTRcETcTX[US;SGWCF;SK]UW=EWMuUWM@B::P`?oBY:ETV:WCKaTML]nIalHH:AJ:vYxy;<:CZ:F:;jysy?:;:yh@>[=JCUZ:F:MZ=Fc=JD_mlVH[KRJ:<:::::::>=?R:=J:NZ:>:yayA:<::::::I:ch;>Z:j:vCJ::<::::::wqy[:::::::::::::vYxI:;Z::::::::::::::::::: :yay=J:B::::::::F:;jr<>fRV\\:JMTjA^=yyyxY :j:f:DJ:>Ztyk?:;JBA:@J:DZJVdsgGl`q?B@CJ:f_;j>:qAB:;JBA:@Z<:vGZ:v^BN[uwp?yR;`q?>>:^:f?=JZ:>:DJ<<:UK:f:^w;n m<^=VYIXyAA;JBA:;R:D:;b:;rZmE:DZP@??B:`GRKe uRBBUTR>^NwhiCklB:=R:;b:HrjNZ>BS?sb?j;]Q :^::?M;NJ;b:\\RRN::`a<^::GM;Njbb:;rZk=?VDB:gv;SQ:D:qM;RYB:yay=aTXUmqrW >Z:VEX=j>>Z:N`DZ:FZ:>Z:ViskZJVDvGZ:v>lqUQv]?RXQJJ:J>Z:N`DZ:F:;jx`AE:cjKDJZ`JH<:qQ KxI;B:>l;Z:b:^dcSSZZ:WE:iWk>RXQJJ::f??Jl;Z:b::::JZsW;;;:jPF:C:[Q;v;;JSd::qAB:>L=J:>Z<:VH::>RXQJJ::f??J>:=DXmURkeRmeSk e:?w:?U:SI;kd:?c:Kw:se:?U:HZ:JDJB_]:jw;<:[V:;B:@ZtqUQv]?RX QJJ::f?=J Z;:ETWA=ZZ^Dvp?MZsW;K_?::UK;^:>X=j>>:_;:_TXHjfKMJNAj`@Pt^DPpdPOHAj <@:L>P]:V\\Q[fkjHARS@@Fv?L>LYBvB\\IFBJtyo\\RJB:=j:DJ;NZ:j:F:AB:=JZ;>Z<>:kE:B<:RMLalR>:<<>^NwH\\::V= h:>klB:=R:;b:HrjB;L@BX;J<:NF?J;[B@@?:Zsc::nFNjbJ:HRvJ;a<:;:K:oA;B::CZ:f?=JHB:qQBv:X?B:AB:;B:;:::Ja@Na`>;B::jyH><::vI B::jyZ:::y=<::vIB::jyZ:::y=<::vIB::jyZ:::y=<::vI::::::::5:" }{TEXT -1 11 " kolem osy " }{OLE 1 4148 1 "[xm]Br=WfoRrB:::wk;nyyI;G:;:j::>:B>N: F:nyyyyy]::yyyyyy::::::::::::::::::::::::::::::::::::::::::::::::::::: ::::::::::::::::::fyyyyya:nYf::G:jy;:::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::JcvGYMt>^:fBWMtNHm=;::::: ::n:;`:Z@[::JBeMWTnfln]Aj;JZM:<:=ja^GE=;:::::::::N;?R :yyyyyyA:yayA:<::::::JDJ:j\\FHemj^HMmqnG;KaFFJufF>::::::;K;vyyuy:>:<:: ::::=J:nX>:F:AlqfG[maNFO=;::::::::_J;Zy=J:B::::::f:;jn>:;:wyyN::UJ:n;v;;JBGYMr>> [LsvG;kT>>MlpFFImlF;s:?J\\@VgKtiXCB:;J@nNSxt_j<@Z?BKaTMcTGZK^ZG_dZfbr_hlGF_J>@lQPnAMnQ@NbLYBxj]xoZHni@>YVKciDyDLcy]=D:<[:_xIHby?cnA\\IFbdve>we?_xYgB@nAlj:F:= b:?b:?B:?j:@j:V:=JI@j:>Alj>H=B:wyyAb:yayQ:>:F\\:EJ:`:J:<:::::::>=?R:=Z:NZ:>Z:vYxY:B::::::v::<:::::::::::::::: :::vYxI:;Z::::::::j:>:E:=b:yyyyq:;m@C:US:F[:>:_cj;n?sJ:VY;fyB:>l;:;b::::JZsW;;;:jPF:C:[Y:F;;JSZ:F:In>nVUTRZ_gdOOUER:BKRGv?ZnAH^;kAQ^dZID:<[:kZxQ^>\\IFBZYgB@>B:=b:?J;<:=j:V:=Ji:R:=B:;j?^;yayI:>:^=:sg:O V:Z:f?;J:B>N:F:ny yyyy]::yyyyyy::::::::::::::::::::::::::::::::::::::::::::::::::::::::: ::::::::::::::fyyyyya:nYf::G:jy;:::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::JcvGYMt>^:fBWMtNHm=;:::::::n< Ejyyiy=C:Abm?Z:>:;`:Z@[::JBeMWTnfln]Aj;J:QZ:B:F:YLpfF>:::::::::J?NZ;vy yyyyY:vYxY:B:::::::c:;:ElrfH=MtFGYMq>>Wlj:gmlJ::::::>>?jyyiy=J:B:::::: F:;J;@J:B:F:AlqfG[maNFO=;::::::::_J;Zy=J:B::::::f:FG;J:JyyI?Z:VZ:>:C:W :G:wAK:MJ:N;;j?J@j@>:YJ:nY><;jBJC>:a:c:e:wAyA::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::=Z<>Z:B:::kU:S:;::::::JHJ ;^b;qV>^cQ<>:SJM?ybQWdG_doB:arOMeU=DUSeJ=uVMuRAtUCUS[TRIUSamBPJ d`ppPpsErJYUW_UTEeV;cMEM:@KZ:yayQ:>:vy=jZEZ:^_=B:=j>r:gV:D_mlV H[KR<:;B:::::::JFNZ;F:;B:?B:;B:yyyxY:B::::::v::<:::::::::::::::::::vYxI:;Z: :::::::j:>:E:=b:yyyyq<< JZyICwyyyy;u:^^HKJ:Ny b;FCE:cJZ@:jC^^B:aJL^xn;fk;^=Z:b:;B>cTTUUSZZ:WE:iWkIxW;XkIxW;CjOxW;JR^:;jPF:MJ:N`DZ:FZ:J P`a=fZ:JDj]_=;jw;<:[V:=B:;J:D:js::JZsW;;;:jPN:;J::::::JdFGUmlVH;C:Wllv H;C:_lqfG=MP]:V\\Q[f;::]Jd ::jBjpDpql@H>:>:j\\bV=MC>;YSKZnA\\IvBYVKdZ=>Z;b:HrjN:?^Z:V ;n>^;yayI:>:>;NY>Z::^:<::::::::::::::::::::::: ::::::::::5:" }{TEXT -1 2 " ." }}{PARA 15 "" 0 "" {OLE 1 5172 1 "[xm]B r=WfoRrB:::wk;nyyI;G:;:j::>:B>N:F:nyyyyy]::yyyyyy::::::::::::::::::::: ::::::::::::::::::::::::::::::::::::::::::::::::::fyyyyya:nYf::G:I:K:w AyA::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::JcvGYMt>^:fBWMtNHm=;:::::::n:;`:Z@[::JBeMW Tnfln]Aj;JZ]:<:=ja^GE=;:::::::::N;?R:yyyyyyA:yayA:<::::::JDJ:j\\FHemj^ HMmqnG;KaFFJufF>::::::;K;vyyuy:>:<::::::=J:^i;Z:j:VBYmp>HYLkNG>::::::: :N:MM:>:nyyM;B:AB:;Jj>>:OJ:V;^;;j@>:[B:: wA]:_J:V<^tUyMjlfFQ=;:::::AZK^ZG_dZfbr_h lGF_J>@lQPnAMnQ@NbLYBxj]xoZHni@>YVKciD yDLcy]=D:<[:_xIHby?cnA\\IFbdve>we?_xYgB@nAlj:F:=b:?b:?B:?j:@j:V:=JklF:wyyAbr:B:bKgJ:::@Z:C: iyq=EU\\:H:CjWK:f:;B:? R:?ja^GEMbNHEms>@[C:>Z::::::::kJ;@j:>:?B:;B:yayA:<::::::IJ:^d@J:<:=ja: ;B:;:::::::::N[:B:yay=J:B::::::nYyA<::::::::::::jysy:>:<:::::::::::::: :::::vYxI:;Z::::::::j:>:E:=b:yyyyqa:Gc;Y:yyy xY:ng>j?<:G;Sj`@@J:R:KJ:Ny:DJ<Ztyk?:;JBA:;R:;b: :[V:R:D:jq:Z:N`DZ:F:;jN`AE:cJ ZEJVHJHJ:DJnjLN^gN: AvSD:K;AVX>ZZEF:?B;CVfARR@:Np=NFUb:Cb[QcB_Q:>:VY ;fyB:>l;B:cTTP@W\\Z:WE:iWkIPZsW;;;Z::Uk:^:>X?B:YJ::qAB:>L=J:>Z<:VHZi;JZsW;;;:jPN:C:[Y:=jCn<^k;FZ<>RHj<<:cjwgZ?^=;jwO^y]:JBK:@Z<>:a \\\\wGZ:fI@qUQv]?RXQJJ:JJSZ :F:Ffs_q;:cJZov=^=VY;><:[V:>Z;b::Y=B:;f;>::UK;^:>X=j>>:_c:uSEGGZ:JBC:@Zjq:RXQJJ::f??JJJJ::E<=E:_B:KjQ:[Dw[j]BN_ALyDB:P>:<[=SJvk?_xdvExb:B>j:DJ;NZ:N:=j:VZ:F:CZDFZ:JK;b:CB[;x:[u: x:<:AVX;r:;R:AB:=B:bSbZK;AVXDZj;Y@>?VjsK:DrN>Z>:oA<:JZ:N[:F>OV:`XCFq;yrq_:;jPV:CB:>X?B:AJ::::::::::CeW\\:<:n]yy]Z^^:JGJ?>:C:;:aJ:^=>l;B:<:;E:;B:;]:> ^:^yyy=;ky=ZpNQF:C[BJB`Z:fs>j=e:<::vq;BJl;jy C:Ab:=RFAlqZ:>:::: :::::::::3:" }{TEXT -1 57 " v p\370\355pad\354, kdy t\354leso V vzni k\341 rotac\355 rovinn\351 oblasti " }{OLE 1 5684 1 "[xm]Br=WfoRrB:::w k;nyyI;G:;:j::>:B>N:F:nyyyyy]::yyyyyy::::::::::::::::::::::::::::::::: ::::::::::::::::::::::::::::::::::::::fyyyyya:nYf::G:I:K:M:wAyA::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :_lqvGcMJ:::::::JEf:yyyxI^:VZHQ:R<:T><::[fHocKmDMIX:A: ;d:::::::::J?NZ;vyyyyyY:vYxY:B:::::::c:;:ElrfH=MtFGYMq>>Wlj :gmlJ::::::>>?jyyiy=J:B::::::F:;j^A:<:=j[vGUMrvC?MoJ::::::::JCN:ry:>:< ::::::EJ:FG;J:JyyI?Z:VZ:>:CJ:n;n:nY>;F;;J?>:Q:S:UJ:N<;jA>:[B::iZ:>=F=N=V=^=f=n=v=>^:B:=C:N>V>^>f>n>v>>?nYvY::::::::::::::::::: ::::::::::::::::::::::::::::::::::::::j:b:B:::ku:S:;::::::JHJ;^b;io;Jt iXCJ:^;GO`iXCfZ;R;LncpNdP]:V\\QGghGbf_gCRMcDBEDXceV=MC>[[v_? wk>w_;?dnA\\IvbYGbJOxYn];?dni\\IFb:^x?_x_^xIPbYGB<[=we;kAQNteli\\NtyrZ I?J;ml:nyyYZDjysyAbm?:;JZ=Z:Z@o<;j`@Pt\\Pd`QrP PJPMQ::tOsMJRPOsM:;B:? J;:A:yayYZ:J:yayQ:>:vvWJ>H:Sr;D_m lVH[KRJ:<:::::::>=?R:=J:NZ:>:yayA:<::::::IZ:ncAZ:j:vCJ::<::::::wqy[:::::::::::::vYxI:;Z::::::::::::::::::::yay=J:B:::: ::::F:;j:Gc;YJHvyyuy;B:UD:[Z:>ry mJyyy?vTjjDZ:V[:JMJ@fc[;>:;nZtykK:>l;Z;>Z< B>aTXU]fsW;\\:>bBN[pyp?yrq?r?yrq?^:Qsq?:[K<>:US:F[:>:_c<>Z:F:;B:KSXl;Z;b::Y=B:[b;ORTiWkIPZsW;;;:C:Uk:^:>x;B:MJ:[:B:oi:V<;B:;Z<^Z:jP>:E:cJxF]Df:V\\<^bl;J:@ ZnjBN^HY\\?gh]_gc_fGGfncF@K=PntH@ZLJ:QB:JwK:<:Ja>Z:N`DZ:F:;jx`a:f:^l;Z:b:^dcSSZZ:WE:iWkIPZsW; ;;:jPN:C:[q:F;;B:_;r;>o>^=;jw?jx]:JBA:>::Uk: ^:>X?JBl@>g;^c?>g;nIHj<<:c:GLH>:qA>Z:JBG:;J:D:cRXQJJ::f??Jl;J:@Z\\@BUiWkIPZsW;;;:jPF:C:[Q;N;N`DZ:N:;jj DPvM:JDJBAJH<:qAB:>L;B:;R:DZJ:Y=B:;D>:J:f??JX?j>>:_;:_dRNV;JMjVAj`^Hc\\_gdOgo;fZ;Z>[oB:arOBUFfm;P`[;]J dRSa=:WmBjpDpqR>H>:>ZK:E<=E:_J>v?ZnAH^;?:YVKd Z=Hi:>ZC:=R:;b<:;Z=xFNjbZ=HI?B: ?VDDJ<^F>:kE:L:Z`;K[:VjsK:DrNZfJnJB;DE>ZPx:^ ;ry=:;:K:oA;B::CZ:f??JHB:qQBv:X=j;>Z:>::::WTJWTL>Z:::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::1:" } {TEXT -1 12 " kolem osy " }{OLE 1 4148 1 "[xm]Br=WfoRrB:::wk;nyyI;G:; :j::>:B>N:F:nyyyyy]::yyyyyy::::::::::::::::::::::::::::::::::::::::::: ::::::::::::::::::::::::::::fyyyyya:nYf::G:jy;:::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::JcvGYMt>^:fBWMt NHm=;:::::::n:;`:Z@[::JBeMWTnfln]Aj;JZM:<:=ja^GE=;::: ::::::N;?R:yyyyyyA:yayA:<::::::JDJ:j\\FHemj^HMmqnG;KaFFJufF>::::::;K;v yyuy:>:<::::::=J:vX>:F:AlqfG[maNFO=;::::::::_J;Zy=J:B::::::f:;jn>:;:wy yN::UJ:n;v;;JBGYMr>>[LsvG;kT>>MlpFFImlF;s:?J\\@vgKJ`XCB:;J@nNkIt_j<@Z?BKaTMcTGZK^ZG_dZfbr_hlGF_J>@lQPnAMnQ@NbLYBxj]xoZHni@>YVKciDyDLcy]=D:<[:_xIHby?cnA\\IFbdve>we?_xYg B@nAlj:F:=b:?b:?B:?j:@j:V:=JI@Z:>Z:JJ:;H:<:TNE>:UTRcETcTX[US;SGWCF;SK]UW=EWMuUWM@B::P`?oBY:ETV: WCKaTML]nIalHH>::\\oGXA;B::F:;JDdxyMjyyyyyy;<:CZ:F:vYxY;J:JTD:wf:>n<>: =j>>Z=>d;B:?jvB:;j<>Z:NZ;N:YLpJbNHEms>@[C:>Z::::::::kJ;@j:>Z:NZ:>Z:vYx Y:B::::::v:NvZ:vYxI:;Z::::::JywYB::::::::::: ::yay=J:B:::::::::::::::::::jysy:>:<::::::::=J:f:FZrymTyyyyYZA:eb:V[:JMJ@fc[;>:;mZ:JBAj:Z<>ZJ^dcgg_;<is_q;f:^<;W:WKH>:qQ:uI<:[V:J:D::::>RXQJJ::f ?=JP]:V;Y;Bw[j]BN_ALyDB:P>:<[=SJvk?cDr]^;yayI:>:^=:sg:bu=b:? bBaTXaEWEUU>Z:N[:F>OV:Z:f?;J:B>N:F:nyyyyy ]::yyyyyy::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: ::::::::::fyyyyya:nYf::G:jy;:::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::JcvGYMt>^:fBWMtNHm=;:::::::n:;`:Z@[::JR@vWTnfln]Aj;J:T:<:=ja^GE=;:::::::::N;?R:yyyyyyA :yayA:<::::::JDJ:j\\FHemj^HMmqnG;KaFFJufF>::::::;K;vyyuy:>:<::::::=J:N ];Z:j:VBYmp>HYLkNG>::::::::N:MM:>:nyyM;B:AB:;Jj>J?>:Q:S:UJ:v;;JyKB>:]:_J:V<^d>^;=J:^cQ<>:SJM?ybQWdG_doB:arOMeU=DUSeJ=uVMuRAtUCUS[T RIUSamBPJd`ppPpsErJYUW_UTEeV;cMEM:@KHp=Ffr:B:bKgJ:fc[_hb_ds?h_?^on_j>^?GhoGfnGgioGSZ::RSPN]v;fbk;n_>WdGCGLyVDu rJ:::yayqyyyY;Z:vYxYykyk;:yayQ:>:fxBjZEZ:Np=j:F;HjfA:CJ?C:;j< >Z:NZ;N:YLpJbNHEms>@[C:>Z::::::::kJ;@j:>Z:NZ:>Z:vYxY:B::::::v:^x=B:<:= ja:;B:;:::::::::N[:jysy:>:<::::::wqy[:::::::::::::vYxI:;Z::::::::::::: :::::::yay=J:B::::::::F:;jryMLyyyyYjY:Cc:V[:JMJ@fc[;>:[M>B:oi:V\\:>:;Z<^Z:jP@:EZ :^\\<^EunB_x:E:cJZ:VDZ:>Z jx]:JBA:;B:DJ:@CJ: f?=J@>:_cHP^Z@hf\\Vp<>ZB@@<:::::::f??J<>:[Y:=J@JSd :Z;b:;B>jq:>:_cN[;fc[_HRSeTOwq<@:L>P]:V\\Q[fkj::JdR Sa=:WmBjpDpqR>H>:>:j\\jjNBw[j]BN_ALyDB:P>rQB>H^;kAQ^dZID:<[:_X=t YKLBxjZ:xo\\RJZ:FZZB\\:V;n>^;yayI:>:>;NYB::CZ:f??JHB:qQBv::Uk;^:>X=B:>Z:>::::WTJWTLB:::::::::::5: " }{TEXT -1 12 " takov\351, \236e " }{OLE 1 4660 1 "[xm]Br=WfoRrB:::wk ;nyyI;G:;:j::>:B>N:F:nyyyyy]::yyyyyy:::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::fyyyyya:nYf::G:I:wAyA:::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::NDY mq^H;C:ELq^H_mvJ::::::::gj`;Ya@GeFwr;V:>ZAZ: j:vCSmlJ::::::::::OJ;@jyyyyyy;jysy;Z:::::::^<>:fB]mtFFcmnvGWMJnC==nHE= ;:::::JJN:yyyxI:;Z::::::j:>:KT:B:F:AlqfG[maNFO=;::::::::_J;Zy=J:B::::: :f:;jn>:;:wyyN:;F;N;;j?J@j@>:YJ:v<: k:wAm:o:q:wAyA:::::::::::::::::::::::::::::::::::::::::::::::::::::::: ::::::::::=Z>aLnvG[MJ>D_mq>>eKJFCUmjvFEm>^=N:CTjSS:;JtiX CB:;J@nNSxt_j<@Z?BKaTMcTGZK^ZG_dZfbr_hlGF_J>@lQPn AMnQ@NbLYBxj]xoZHni@>YVKciDyDLcy]=D:<[ :_xIHby?cnA\\IFbdve>we?_xYgB@nAlj:F:=b:?b:?B:?j:@j:V:=Jr:B:bKgJ:fc[_hb_ds?h_?^o n_j>^?GhoGfnGgioGSZ::RSPN]v;fbk;n_>WdGCGLyVDurB:;::_C:]kPFA]kTF`:N@akV v@yyyxy;<:CZ:F:;jysy?:;:SG>FrZ:NZ;N:YLpJbNHEm s>`:>`:J:<:::::::>=?R:=J:NZ:>Z:vYxY:B::::::v:Z:j:vCJ::<::::::wqy[:::::::::::::vYxI:;Z::::::::::::::::::::yay=J: B::::::::F:;j^;UTRc=>:[M>JwE:aB:;J:b:CB:f_;jb;:VB:aJLNjHf:F[n;N_;^=< jwEJ:uI;B:>l;J:ZJ^dcgg_;<:Uk:>\\:B:_c< B:G:KSDKSDSCEKU:Sr:KU:wm[PJ:Hj<x;F:YJ:l;J:@J:>ZJVdsc RYEUXQZB:GDZ=f:^<^f=^=;j w;<:[N:jq:>a;fc[_HRSeTOSS:ER:BKRGH>ZHK::E<=MC>;Y SKY>LYBvB:<[=SJvk?cDr]\\IFBZYgB@>FZ:FZZ?nldV>;jysy::::::::J;VjsK:D rNZfb:>:rZB;\\:r:b:CB[]?DBbfZPH??JEe<JwC:<:J:sg:OV:`XC:Uk;^:>X? B:AB:;B:;:::Ja@Na`><:ab:;T:Z:^<;:MZ:b:E:cJJAJO:qQ:[:JBC:ZJ^DP @BBJqvP>RXQJJ:>@C:Uk:>\\:B:_cL=B:>Z<:VH::>RX QJJ::f??JZ;b:;jc:::::::::1: " }{TEXT -1 2 " ." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}} {SECT 1 {PARA 20 "" 0 "" {TEXT -1 9 "P\370\355klad 1" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 31 "Hled\341me objem koule o polom\354ru " }{TEXT 292 1 "r" }{TEXT -1 40 ". Kouli dostaneme rotac\355 poloviny kruhu " } {OLE 1 5682 1 "[xm]Br=WfoRrB:::wk;nyyI;G:;:j::>:B>N:F:nyyyyy]::yyyyyy: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: fyyyyya:nYf::G:I:K:M:wAyA::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::_lqvGcMJ:::::::JEf:yyyxI^ :VZHQ:R<:T><::[SjqcKmDMIX:A:;r:::::::::J?NZ;vyyyyyY:vYx Y:B:::::::c:;:ElrfH=MtFGYMq>>Wlj:gmlJ::::::>>?jyyiy=J:B::::::F:;jnA:<: =j[vGUMrvC?MoJ::::::::JCN:ry:>:<::::::EJ:FG;J:JyyI?Z:VZ:>:C:W:G:wAK:M: OJ:V;^;f;;JC>:YJ:>\\:B:]:wAa:c:e:gJ:v<CRMcDBEDXceV=MC>[[v_?wk>w_;?dnA\\IvbYGbJOxYn];?dni\\IFb:^x?_x_ ^xIPbYGB<[=we;kAQNteli\\NtyrZI?J;ml:nyyYZDjysy Abm?:;JZ=Z:Z@o<;j`@Pt\\Pd`QrPPJPMQ::::::yayYZ:JD_mlVH[KR<:;B:::::::JFNZ;F:;J;Z:> :::::::::J?:<::::::::=J:f:FZr=>fUV<;JMTjA^=yyyx Y::;H:EZ:F[c=^]:B:qi :MbyAa:>:[V:R:;b:Z:>_sC:EB:^:[V:R:D:jq:>Z:N`DZ:F:njBN^HY\\?gh]_gc_fGGfn?glR>GRKeuRBBUT R>^NwhiCklB:=R:;bZ<^:_bBUc:HRsNZ>BS?sb?j ;]Q:^::_]:NJDZB@@?:Zsc:C:HZDj::>l;F:Z:B:DZ:^:f??J><:oqJw?Z:V\\:>Z:>:DJ<<:UKL;J:@J:DZJVDDpqrW>Z:fZ@rYiWkIPZsW;;;JRXEj>>Z:N`DZ:F:;j x`AE:cJDAJ@XKHjwO^yM:<:[V:B:DJ:^DP@JcJqLB:DZJ:::JZsW;;;:jPF:C:[q:cJZDjMMJH>:qQ:uI;B:>l;Z:b::::JZsW;;;:jPf:C:[q:^;N`DZ:VZ:B:SCE[ stWvXEjD>:_;;B:MJ:>drGil ?ilGil?i:Vp=Nf;Ns?Nal=>a=Vpl;^]:jw;<:[V:;Z;b:VDDpqrWB:Eb ;DrUQv]?RXQJJ::f?EJjXtvPHtKItKqL[PjtHJgAJZDJpHJfDjXIJ: HjOP:J:G;mX:ULt^DPpdPo`Aj<@:L>P]:V\\Q[fkj:P`[;]JdRSa=:WmBVDUeRY]KrJ:;;;:fBF F_Z[v?ZnAZ;>ZZ<>ZP@??Z cZ>B<:RMLalR>:<<>^NwH\\::V=hZ:J>C:=R:;bBSNZ:Vjr?:C:JsB :?>\\RRN::`a<:H:FZ:B:AfVHJ:l;Qj:b:\\RSB:Ob:CJC:km;::Z:FZ;B:OJ:Ts=B:?B: gvXjxJ:V[:>Z:n>^;yayI:;B:;:KZ:NY`XC:Uk=^:>X=j;>Z:>:::: WTJWTL>Z::::::::::::::::::::::::::::::::::::::::::::::::::::::1:" }} {PARA 0 "" 0 "" {TEXT -1 10 "kolem osy " }{OLE 1 4147 1 "[xm]Br=WfoRrB :::wk;nyyI;G:;:j::>:B>N:F:nyyyyy]::yyyyyy::::::::::::::::::::::::::::: ::::::::::::::::::::::::::::::::::::::::::fyyyyya:nYf::G:jy;:::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::J cvGYMt>^:fBWMtNHm=;:::::::n:;`:Z@[::JR@vWTnfln]Aj;JZM :<:=ja^GE=;:::::::::N;?R:yyyyyyA:yayA:<::::::JDJ:j\\FHemj^HMmqnG;KaFFJ ufF>::::::;K;vyyuy:>:<::::::=J:nX>:F:AlqfG[maNFO=;::::::::_J;Zy=J:B::: :::f:;jn>:;:wyyN::W:YJ:>\\:B:]:_J:nYvY:::: ::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::F: DZ:B:::[EjSJR>@cKUfI>D_mlNIEMq^H=mkfF;k`FGAMHJ;n_;QU>^cQ<CRMcDBEDXceV=MC>[[v_?wk>w_;?dnA\\Ivb YGbJOxYn];?dni\\IFb:^x?_x_^xIPbYGB<[=we;kAQNteli\\NtyrZ Z:>`:>@?lVN@=B:wyyAbr:B:bKgJ:fc[_hb_ds?h_?^on_j>^?GhoGfnGg ioGSZ::RSPN]v;fbk;n_>WdGCGLyVDurJ::JR>@=LRr:YT:N:k]:>:EJ:@[;;B:::::::JFNZ ;F:Z:>v:<::::::wq y[:::::::::::::vYxI:;Z::::::::::::::::::::yay=J:B::::::::F:;jZ:>ryMMyyyyYJA:GY:^;UTR:;Jjf:DZ:b:E:cb:AY:yS:sZ:Vy@C:US:F[:>:_cj;n?sJ:VY;fyB:>l ;:;b::::JZsW;;;:jPF:C:[Y:F;;JSZ:F:In>nVUTRZ_gdOOUER:BKRGv?ZnAH^;kAQ^dZID:<[:_X=tYK LBxjZ:xo\\RJZ:FZ:C:[q: V:;B:;:::Ja@Na`><::::::::::::::::::::::::::::::::::::::?l:LZ:>:Kv:SJ>I :;J:::::::::::::::::::::::::::6:" }{TEXT -1 2 ". " }}}{EXCHG {PARA 0 " > " 0 "" {MPLTEXT 1 0 34 "restart:with(student):with(plots):" }}{PARA 7 "" 1 "" {TEXT -1 50 "Warning, the name changecoords has been redefin ed\n" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 24 "Rovnice poloroviny kruhu " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "f:=sqrt(r^2-x^2);" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"fG*$,&*$)%\"rG\"\"#\"\"\"F+*$)%\"x GF*F+!\"\"#F+F*" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 23 "Nakresleme obr \341zek pro " }{TEXT 293 3 "r=1" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 47 "plot(sqrt(1-x^2),x=-2..2,scaling=constrained);\n" }}{PARA 13 " " 1 "" {GLPLOT2D 456 456 456 {PLOTDATA 2 "6&-%'CURVESG6$7O7$$!3m****** *p)>'***!#=$\"3_uE(eA>qv#!#>7$$!3&******zob?%**F*$\"3G-u$o?b\\2\"F*7$$ !3;+++vE\"z))*F*$\"3m#>*\\_[/$\\\"F*7$$!3W+++j'pP$)*F*$\"3[v?d,sv:=F*7 $$!3a******\\miz(*F*$\"3ItmR-&)z(3#F*7$$!3-+++D1Mr'*F*$\"3t#3#)z&*pEa# F*7$$!3_++++Y0j&*F*$\"3c6n6>SpBHF*7$$!3Q+++]D[Y$*F*$\"3O\\03lntbNF*7$$ !3E++++0\"*H\"*F*$\"3IMHLgezzSF*7$$!3=++++f\\7()F*$\"3lNl@4DS3\\F*7$$! 35++++83&H)F*$\"3s-rA%RY\\e&F*7$$!3?+++b)Gg\"zF*$\"3q9+u/!f.6'F*7$$!3H +++5k(p`(F*$\"3oA>$*=K@slF*7$$!3W*******QYi3(F*$\"3'fO2;ece0(F*7$$!3s* *****pj^NmF*$\"3)ooij'[I\"[(F*7$$!35+++?*)o`iF*$\"3OAMOnDH.yF*7$$!3[++ +q9'=(eF*$\"3#>Qg5J>X4)F*7$$!3u******z#\\N)\\F*$\"3s\"p[a0J(p')F*7$$!3 %*******pCC(>%F*$\"3%*yoO8n^w!*F*7$$!36+++!GRXL$F*$\"3a`n^iRmF%*F*7$$! 39+++I=/8DF*$\"3/&o%H2;3z'*F*7$$!31+++?a*el\"F*$\"3/&))oXfZ>')*F*7$$!3 e++++Wn(o)F-$\"3-]S_z1>i**F*7$$!3')********zNu>!#?$\"3'[WL&40)*****F*7 $$\"3`++++f`@')F-$\"3y)R()zBlF'**F*7$$\"3.+++qw%)H;F*$\"33S6+beGm)*F*7 $$\"3%)******>$y*eCF*$\"3UY'zq_dHp*F*7$$\"3E++++9b:LF*$\"3y&>(>E%eVV*F *7$$\"3u******\\5a`TF*$\"3ildU'3)f'4*F*7$$\"3y******>\"RV'\\F*$\"3Cy1w #>X2o)F*7$$\"3y******\\@fkeF*$\"3)4_3Xe(y*4)F*7$$\"3C+++I&4Nn'F*$\"31@ !QL#QVZuF*7$$\"3H+++:bN0rF*$\"3t$4!3NIhOqF*7$$\"3L++++:?PvF*$\"3gAt3y] &>d'F*7$$\"3u*****\\9=&GzF*$\"3UIv!GtWT4'F*7$$\"3E+++!zM)>$)F*$\"3kZvMF*7$$\"3')******zy*zd*F*$ \"3=qJX[>OuGF*7$$\"3++++DCjy'*F*$\"3)4l]%Q7x9DF*7$$\"37+++qpEz(*F*$\"3 '\\#y])f#[*3#F*7$$\"3C+++::!*z)*F*$\"3suml;'o^a\"F*7$$\"3Q+++gg`!)**F* $\"3kd!)eqV=OiF-7$%*undefinedGFay-%'COLOURG6&%$RGBG$\"#5!\"\"$\"\"!Fjy Fiy-%(SCALINGG6#%,CONSTRAINEDG-%+AXESLABELSG6$Q\"x6\"Q!Fcz-%%VIEWG6$;$ !\"#Fjy$\"\"#Fjy%(DEFAULTG" 1 2 0 1 10 0 2 9 1 4 1 1.000000 46.000000 48.000000 0 0 "Curve 1" }}}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 26 "Dosad \355me do prvn\355ho vztahu" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "Int(Pi*f^2,x=-r..r);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#-%$IntG6$* &%#PiG\"\"\",&*$)%\"rG\"\"#F(F(*$)%\"xGF-F(!\"\"F(/F0;,$F,F1F," }}} {EXCHG {PARA 0 "" 0 "" {TEXT -1 23 "V\375sledn\375 objem je roven" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "value(%);" }}{PARA 11 "" 1 " " {XPPMATH 20 "6#,$**\"\"%\"\"\"\"\"$!\"\"%#PiGF&%\"rGF'F&" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{SECT 1 {PARA 20 "" 0 "" {TEXT -1 9 "P\370\355kla d 2" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 25 "Vypo\350\355tejte objem t \354lesa " }{TEXT 295 1 "V" }{TEXT -1 26 " vznikl\351ho rotac\355 mno \236iny " }{TEXT 294 1 "A" }{TEXT -1 21 " le\236\355c\355 mezi k\370iv kami" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "restart:with(plots) :" }}{PARA 7 "" 1 "" {TEXT -1 50 "Warning, the name changecoords has b een redefined\n" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "rce:=y=x ^2,y=2*x;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$rceG6$/%\"yG*$)%\"xG\" \"#\"\"\"/F',$*&F+F,F*F,F," }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 18 "Nak resl\355me obr\341zek" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "pl ot([x^2,2*x],x=-2..3);" }}{PARA 13 "" 1 "" {GLPLOT2D 456 456 456 {PLOTDATA 2 "6&-%'CURVESG6$7S7$$!\"#\"\"!$\"\"%F*7$$!3smm;HU,\"*=!#<$ \"3c-3\"\\\"[$fd$F07$$!3SL$3FH'='z\"F0$\"3%pI8\")>&GEKF07$$!3gmmTgBa*o \"F0$\"3Y@Bk(Q`X&GF07$$!3amm\"H_\">#e\"F0$\"3\\g$*=:+L.DF07$$!3ML$3_!4 Nv9F0$\"3m[!*\\$Hgm<#F07$$!3km;/wfHw8F0$\"3%Q[oOh!>%*=F07$$!3;+]PM.tt7 F0$\"3u\\qqk*)QA;F07$$!3em;/,oln6F0$\"39e)=]SAMO\"F07$$!3%)**\\(oWB>1 \"F0$\"3n!)G-29oF6F07$$!3eJLLepjJ&*!#=$\"3o)eY0J5_3*Fhn7$$!3Ulm;z/ot&) Fhn$\"3oaV)ep*z]tFhn7$$!3u)****\\P[_\\(Fhn$\"337SH?[(yh&Fhn7$$!3A***** \\7)Q7kFhn$\"3g+TcY@(=6%Fhn7$$!3e*****\\i^)o`Fhn$\"3g8l7xnX#)GFhn7$$!3 vlmT50A@WFhn$\"3I+HZ&>Fhn7$$!3OKLLeaR%H$Fhn$\"3oG()eVTI&3\"Fhn7$$! 3kJLLLo#)RBFhn$\"3?'o')*4'*yua!#>7$$!3f***\\PfO%H7Fhn$\"3c,;0QV^6:F^q7 $$!3MSLLL3`lCF^q$\"3G&R<,HU)yg!#@7$$\"3+L+]i!f#=$)F^q$\"3,$R'3$QV$>p!# ?7$$\"3+-+v=xpe=Fhn$\"3Ahko4svaMF^q7$$\"3`\"Fhn7$$\"3)GLL3_?`(\\Fhn$\"3iED]G 9QvCFhn7$$\"3!fL$e*)>pxgFhn$\"3)\\aC?*R$Qp$Fhn7$$\"3w++v$f4t.(Fhn$\"3! *z&G=jsB&\\Fhn7$$\"3OPL$e*Gst!)Fhn$\"3gW.()R,]=lFhn7$$\"3Y+++]#RW9*Fhn $\"3)p0%p>p2i$)Fhn7$$\"3:++DJE>>5F0$\"3z)H%f>OvQ5F07$$\"3F+]i!RU07\"F0 $\"3s!f(=\\_hb7F07$$\"3+++v=S2L7F0$\"3DvirN:Z?:F07$$\"3Jmmm\"p)=M8F0$ \"3q57(\\Yf+y\"F07$$\"3B++](=]@W\"F0$\"3%fG1L;(zz?F07$$\"35L$e*[$z*R:F 0$\"3UJ\"=_RO:P#F07$$\"3e++]iC$pk\"F0$\"3u:j.OlQ7FF07$$\"3[m;H2qcZF0$ \"3zb'HmX&QCQF07$$\"3w**\\ilAFj?F0$\"3u>t4UC4dUF07$$\"3yLLL$)*pp;#F0$ \"3wowm3*edp%F07$$\"3)RL$3xe,tAF0$\"39=HZx6gm^F07$$\"3Cn;HdO=yBF0$\"3? q\"4y]ddl&F07$$\"3a+++D>#[Z#F0$\"3c32YgNuChF07$$\"3SnmT&G!e&e#F0$\"3iN `L7aA&o'F07$$\"3#RLLL)Qk%o#F0$\"32$3>.y7t?(F07$$\"37+]iSjE!z#F0$\"3))G [i^ie&y(F07$$\"3a+]P40O\"*GF0$\"3aiK<&fl*f$)F07$$\"\"$F*$\"\"*F*-%'COL OURG6&%$RGBG$\"#5!\"\"$F*F*Fc[l-F$6$7S7$F($!\"%F*7$F.$!3YLLLe%G?y$F07$ F4$!3#om;aesBf$F07$F9$!3ALL$3s%3zLF07$F>$!31LL$e/$QkJF07$FC$!3ommT5=q] HF07$FH$!3ILL3_>f_FF07$FM$!3K++vo1YZDF07$FR$!3;LL3-OJNBF07$FW$!3p***\\ P*o%Q7#F07$Ffn$!3Kmmm\"RFj!>F07$F\\o$!33LL$e4OZr\"F07$Fao$!3u*****\\n \\!*\\\"F07$Ffo$!3%)*****\\ixCG\"F07$F[p$!3#******\\KqP2\"F07$F`p$!3]J L$3-TC%))Fhn7$Fep$!3skmm;4z)e'Fhn7$Fjp$!3GjmmmOlzYFhn7$F`q$!3=****\\(= t)eCFhn7$Feq$!3n!ommmh5$\\F^q7$F[r$\"3g1+]7=lj;Fhn7$Far$\"3,/+]PaRY29F07$F_t$\"3Znm;zXu9;F07$Fdt$\"34 +++]y))G=F07$Fit$\"3H++]i_QQ?F07$F^u$\"3b++D\"y%3TAF07$Fcu$\"3+++]P![h Y#F07$Fhu$\"3iKLL$Qx$oEF07$F]v$\"3Y+++v.I%)GF07$Fbv$\"3?mm\"zpe*zIF07$ Fgv$\"3;,++D\\'QH$F07$F\\w$\"3%HL$e9S8&\\$F07$Faw$\"3s++D1#=bq$F07$Ffw $\"3\"HLL$3s?6RF07$F[x$\"3a***\\7`Wl7%F07$F`x$\"3enmmm*RRL%F07$Fex$\"3 %zmmTvJga%F07$Fjx$\"3]MLe9tOcZF07$F_y$\"31,++]Qk\\\\F07$Fdy$\"3![LL3dg 6<&F07$Fiy$\"3%ymmmw(Gp`F07$F^z$\"3C++D\"oK0e&F07$Fcz$\"35,+v=5s#y&F07 $Fhz$\"\"'F*-F][l6&F_[lFc[lF`[lFc[l-%+AXESLABELSG6$Q\"x6\"Q!F`el-%%VIE WG6$;F(Fhz%(DEFAULTG" 1 2 0 1 10 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 0 "Curve 1" "Curve 2" }}}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 37 "Ode\350teme objem vznikl\375 rotac\355 k\370ivky " }{TEXT 296 5 "y =x^2" }{TEXT -1 35 " od objemu vynikl\351ho rotac\355 k\370ivky " } {TEXT 297 5 "y=2*x" }{TEXT -1 39 ". Dosazen\355m do prvn\355ho vztahu \+ dost\341v\341me" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 46 "Int(Pi*( 2*x)^2,x=0..2)-Int(Pi*(x^2)^2,x=0..2);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,&-%$IntG6$,$*(\"\"%\"\"\"%#PiGF*)%\"xG\"\"#F*F*/F-;\"\"!F.F*-F% 6$*&F+F*)F-F)F*F/!\"\"" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 23 "V\375sl edn\375 objem je roven" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "va lue(%);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,$*(\"#k\"\"\"\"#:!\"\"%#Pi GF&F&" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{SECT 1 {PARA 20 "" 0 "" {TEXT -1 9 " P\370\355klad 3" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 31 "Hled\341me obje m koule o polom\354ru " }{TEXT 298 1 "r" }{TEXT -1 41 ". Kouli dostane me rotac\355 rovinn\351 mno\236iny " }{OLE 1 5682 1 "[xm]Br=WfoRrB:::w k;nyyI;G:;:j::>:B>N:F:nyyyyy]::yyyyyy::::::::::::::::::::::::::::::::: ::::::::::::::::::::::::::::::::::::::fyyyyya:nYf::G:I:K:M:wAyA::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :_lqvGcMJ:::::::JEf:yyyxI^:VZHQ:R<:T><::[xKucKmDMIX:A: ;B=B:F:YLpfF>:::::::::J?NZ;vyyyyyY:vYxY:B:::::::c:;:ElrfH=MtFGYMq>>Wlj :gmlJ::::::>>?jyyiy=J:B::::::F:;jKD:;B:F:AlqfG[maNFO=;::::::::_J;Zy=J: B::::::f:;jn>:;:wyyN:VZ:>:C:W:G:wAK:M:OJ:V;^;f;;jCjA>:[B::wAc:e: gJ:v<CRMcDBEDX ceV=MC>[[v_?wk>w_;?dnA\\IvbYGbJOxYn];?dni\\IFb:^x?_x_^xIPbYGB<[=we;kAQ Nteli\\NtyrZI?J;ml:nyyYZDjysyAbm?:;JZ=Z:Z@o<;j `@Pt\\Pd`QrPPJPMQ::ff: vH;C:_lqjjnGNB=myyiyYZ:Je>J>v[;Z:f:;B: ?R:?ja^G>D_mlVH[KR<:;B:::::::JF:?B:;jysy;Z::::::j=Js]:;B:F:Y<>Z :>:::::::::J?:<::::::::=J:f:FZr=BBaJ:n^@v;sjyyi yAZ:fc:><^;UTR:>r:f:D:Dj`:^:Z:>_sC:E:c:Mc;s:qAB:;JBA:@Z<:vGZ:^g=N[_wp?yR;`q?>>:^:f?=J>:oi:B:Z<^Z:jP>:E:cJ=DJQhjNkB =EJ::iD>IZ:>Z<>Z=Hi:b:TSNNZ:RDB;GFviWF^LW:qZEF:?J>E]:FZ;>ZDV:CR:@J:DJZ<>ZPxZfE:?Zuc:fI>Z?gh][G[lR>:<<>>^y<:oqfEVu;NpEVjineNO;C=O OXiJSEjNiJSEj_hjuAJShj?DJ:E:c:SC?EJ:VF_NFZpNVj:K :oQ:l;J :@J:DZJ:Y]qK:l;Z;b::Y=B:SM?TpUQv]?RXQJJ:JvF^ =VY?sy>Z:JBA::cTTP@W\\Z:WE:iWkIPZsW;;;:jPf:C:[q:f;N@B:C:_cF_cF]h:U c;]h:sW:EJ:^LB:D::::>RXQJJ::f?=J:cJZDjMMJH>:qQ:uI<:[V:B:D::::>RXQJJ::f?EJL=J:>Z<:VH::>RXQJJ:JZ:N[:J[\\qvDqv\\Qs`q vDqSIJk@JaUj\\Ej=HJSHj\\EjhLJTDJ:Hj<<:c:[V:sB:VYZ:JB?:@Z<>:a\\\\wGXA:_cb>e:qAB:^q<>:;R:j\\PA:^DOP:<:jPF:C:[qV\\SMP]:V\\Q[fkjj[RS@@FH>:>:j\\jjN<@lQvK@NbLYBvBi:B:?>HrvB<:RMLal:ZZ:;COi]B:Z:V=hZ:J>E]:FZ;>ZDV:C:;J ZV>:Qj:b:\\B:QB:;B:G;SB:yayI:JwK:<:J;B:::::::::::5:" }{TEXT -1 11 " kolem osy " }{OLE 1 4146 1 "[xm]Br=WfoRrB:::wk;nyyI;G:;:j::>:B>N:F:nyyyyy]: :yyyyyy::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: ::::::::fyyyyya:nYf::G:jy;:::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::JcvGYMt>^:fBWMtNHm=;:::::::n:;`:Z@[::JbYnXTnfln]Aj;JZM:<:=ja^GE=;:::::::::N;?R:yyyyyyA:y ayA:<::::::JDJ:j\\FHemj^HMmqnG;KaFFJufF>::::::;K;vyyuy:>:<::::::=J:nX> :F:AlqfG[maNFO=;::::::::_J;Zy=J:B::::::f:;jn>:;:wyyN::W:YJ:>\\:B:]:_J:nYvY:::::::::::::::::::::::::::::::::::::: ::::::::::::::::::::::::::::::::::F:DZ:B:::KTgeu:B:::::::s:?JQ@VgKJ`XC J:^;GOv]XCfZ;R;LncpNdP]:V\\QGghGbf_gCRMcDBEDXceV=MC>[[v_?wk> w_;?dnA\\IvbYGbJOxYn];?dni\\IFb:^x?_x_^xIPbYGB<[=we;kAQNteli\\NtyrZZ:>::FZ:nyyYZDjysyAbm?:;JZ=Z:Z@o<;j`@Pt\\Pd`QrPPJPMQ:yayQ:>:F\\ Z:NZ;N:YLpJbNHEms>@[C:>Z::::::::kJ;@j:B:?B: ;B:yayA:<::::::IZ:>v:<::::::wqy[::::::: ::::::vYxI:;Z::::::::::::::::::::yay=J:B::::::::F:;jZ:>ryMMyyyyYJA:GY:^;UTR :;Jjf:DZ:b:E:cb:AY:yS:sZ:Vy@C:US:F[:>:_cj;n?sJ:VY;fyB:>l;:;b::::J ZsW;;;:jPF:C:[Y:F;;JSZ:F:In>nVUTRZ_gdOOUER:BKRGv?ZnAH^;kAQ^dZID:<[:kZxQ^>\\IFBZYgB @>B:=b:?J;<:=j:V:=Ji:R:=B:;j?^;yayI:>:^= :sg:bu=b:?bBaTXaEWEUUB:OB:=K?AZ:B:JTTXCFq;yrq_:;B:UK:^:>X=j;>Z:>::::WT JWTLB:yay=:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::5:" }{TEXT -1 1 "." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 34 " restart:with(student):with(plots):" }}{PARA 7 "" 1 "" {TEXT -1 50 "War ning, the name changecoords has been redefined\n" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "rce:=sqrt(r^2-y^2);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$rceG*$,&*$)%\"rG\"\"#\"\"\"F+*$)%\"yGF*F+!\"\"#F+F* " }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 37 "Dosazen\355m do druh\351ho vz tahu dostaneme" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 35 "V:=2*Pi*I nt(y*(rce-(-rce)),y=0..r);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"VG,$ *(\"\"#\"\"\"%#PiGF(-%$IntG6$,$*(F'F(%\"yGF(,&*$)%\"rGF'F(F(*$)F/F'F(! \"\"#F(F'F(/F/;\"\"!F3F(F(" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 77 "Spo \350teme nyn\355 v\375sledn\375 objem, kter\375 je pochopiteln\354 rov en objemu v p\370\355kladu 1" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "assume(r>0);\nvalue(%);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,$** \"\"%\"\"\"\"\"$!\"\"%#PiGF&%#r|irGF'F&" }}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{SECT 1 {PARA 20 "" 0 "" {TEXT -1 9 "P\370\355kla d 4" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 25 "Vypo\350\355tejte objem t \354lesa " }{TEXT 299 1 "V" }{TEXT -1 28 " vznikl\351ho rotac\355 kole m osy " }{OLE 1 4146 1 "[xm]Br=WfoRrB:::wk;nyyI;G:;:j::>:B>N:F:nyyyyy] ::yyyyyy:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::fyyyyya:nYf::G:jy;::::::::::::::::::::::::::::::::::::::::::: ::::::::::::::::::::::::::::::::::::JcvGYMt>^:fBWMtNHm=;:::::::n:;`:Z@[::JbYnXTnfln]Aj;JZM:<:=ja^GE=;:::::::::N;?R:yyyyyyA: yayA:<::::::JDJ:j\\FHemj^HMmqnG;KaFFJufF>::::::;K;vyyuy:>:<::::::=J:nX >:F:AlqfG[maNFO=;::::::::_J;Zy=J:B::::::f:;jn>:;:wyyN::W:YJ:>\\:B:]:_J:nYvY::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::F:DZ:B:::=mnnGcMJVDKmq>H;KbNHYMJf@; k^fG=mmfFMJHJ;n_;QU>^cQ<CRMcDBEDXceV=MC>[[v_?wk>w_;?dnA\\IvbYGbJOxYn];?dni\\IFb:^x?_x_^xIPbYG B<[=we;kAQNteli\\NtyrZ>Alj>H=B:wyyAb:^`Z:NZ;N:YLpJbNHEms>@[C:>Z::::::::kJ;@j:B:?B:;B:yayA:<::::::I:;i:B:F:Y< >Z:>:::::::::J?:<::::::::=J:f:FZf<>Z<:[mZ:JBAj:B:;b:;B>cTTUUSZZ:WE:iWkIxW;XkIxW;CjOxW;JR^:f_;j>Z<::::;`q?>>::Uk:^:>x;j>>:_;[oB:a:l@::Jd::jBjpDpql@H>:>:j\\\\A=MC>;Y;Bw[j]B N_ALyDB:P>:<[=SJvk?cDr]B:=b:?J;h;QR:jv:QB:OV:Z:f?;J:B>N:F:nyyyyy]::yyyyyy::::::::::::::::::::::::::::: ::::::::::::::::::::::::::::::::::::::::::fyyyyya:nYf::G:I:wAyA::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: ::NDYmq^H;C:ELq^H_mvJ::::::::gjtAga@GeFwr;V: >jAZ:j:vCSmlJ::::::::::OJ;@jyyyyyy;jysy;Z:::::::^<>:fB]mtFFcmnvGWMJnC= =nHE=;:::::JJN:yyyxI:;Z::::::j:>:iT:HYLkNG>::::::::N:MM:>:nyyM;B:AB:;Jj>J?>:Q:S:UJ:>\\:B:YJ:nYF:iZ:>=F=N=V=^=f=nYvY::::::::::::::::::::::::::::::::::::::::::::: ::::::::::::::::::::=ZH;KbNHYMJf@;k^fG=mmfFMJH>: ?JQ@vW@:[yq_J:CRMcDBEDX ceV=MC>[[v_?wk>w_;?dnA\\IvbYGbJOxYn];?dni\\IFb:^x?_x_^xIPbYGB<[=we;kAQ Nteli\\NtyrZkkb:CjOV_:ETV:WCKaTML]nIalHH>Z=NgZ: NZ;N:YLpJbNHEms>@[C:>Z::::::::kJ;@j:>:?B:;B:yayA:<::::::IJ:Z:j: vC:;:::::::::N[:B:yay=J:B::::::nYyA<::::::::::::jysy:>:<:::::::::::::: :::::vYxI:;Z::::::::j:>:E:=b:yyyyqa:Gc;YJHvy yuy;B:UD:[Z:>rymNyyyyYj@;Md:V[:JMJ@fc[;>:[L>>:oi:>Z::DJ<B:oq:cJd@jVTJHB:qi:?sy>Z:JBA:;B:DJ:>:_cklZ:FZ;>ZDN:?FEDJ:Hb:N Z>njwJ;>kj>ZZtRXQJJ:>@jPV:C:[Q<:_;;B:E:mEXkUXkMIPjB DJHIJBIZ=fZ:JDD:SU:s:qAB:>L;Z;>Zx;V:YB:;JSd:Nn=Nk=r:M?G;IT:UTRcMdRSeTOqS:ER:BKR G>>:j\\jjNcAB>H ^;kAQ^dZID:<[:_X=tYKLBxjZ:xo\\RJZ:FZZHRv:ZkB:^;yayI:;J:J>>:oQ::sg:bu=b:?bBaTX aEWEUUB:OB:=K?AZ:B:yayaZWQZ:>::::WTJWTLB:::::: :::::::::::::::::::::::::::::::5:" }{TEXT -1 53 " (viz. obr\341zek 1). Zavedeme novou soustavu sou\370adnic " }{TEXT 302 1 "u" }{TEXT -1 1 " ," }{TEXT 303 1 "v" }{TEXT -1 13 " takovou, \236e " }{TEXT 301 4 "u=-y " }{TEXT -1 2 ", " }{TEXT 300 3 "v=x" }{TEXT -1 9 ". Oblast " }{TEXT 304 1 "B" }{TEXT -1 99 " je pak z hlediska v\375po\350tu stejn\341 jak o na obr\341zku 2 a rota\350n\355 t\354leso vznik\341 jej\355 rotac \355 kolem osy " }{OLE 1 4146 1 "[xm]Br=WfoRrB:::wk;nyyI;G:;:j::>:B>N :F:nyyyyy]::yyyyyy:::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::fyyyyya:nYf::G:jy;::::::::::::::::::::::::::::::::: ::::::::::::::::::::::::::::::::::::::::::::::JcvGYMt>^:fBWMtNHm=;:::: :::n:;`:Z@[::JbYnXTnfln]Aj;JZM:<:=ja^GE=;:::::::::N;? R:yyyyyyA:yayA:<::::::JDJ:j\\FHemj^HMmqnG;KaFFJufF>::::::;K;vyyuy:>:<: :::::=J:nX>:F:AlqfG[maNFO=;::::::::_J;Zy=J:B::::::f:;jn>:;:wyyN::W:YJ:>\\:B:]:_J:nYvY::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::F:DZ:B:::=mnnGcMJVDKmq>H; KbNHYMJf@;k^fG=mmfFMJHJ;n_;QU>^cQ<CRMcDBEDXceV=MC>[[v_?wk>w_;?dnA\\IvbYGbJOxYn];?dni\\IFb:^x? _x_^xIPbYGB<[=we;kAQNteli\\NtyrZZ:nG;k[FF[m:r:B:bKgJ:fc[_hb_ds?h_?^on_j>^?GhoGfnGgioGSZ::RSPN]v;fbk;n_>Wd GCGLyVDurJ:::J<^:?R:SJRtwGFtWC:yayYZ::;B:=J:vYxY;J:jBDZ:Vi>Z=v c;J;>I>:EJ:`:J:<:::::::>=?R:=Z:NZ:>Z:vYxY:B::::::v: :<::: ::::::::::::::::vYxI:;Z::::::::j:>:E:=b:yyyyq:;ml;FZ:B:;b:;B>cTTUUSZZ:WE:iWkIxW;XkIxW;CjOxW;JR^ :f_;j>Z<::::;`q?>>::Uk:^:>x; j>>:_;[oB:a:l@::F;Y;Bw[j]BN_ALyDB:P>:<[=SJvk?cDr]:QB::C:[q:V:;B:;:::Ja@Na`><:::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::5:" }{TEXT -1 2 " ." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 34 "restart:with(st udent):with(plots):" }}{PARA 7 "" 1 "" {TEXT -1 50 "Warning, the name \+ changecoords has been redefined\n" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 18 "Nakresl\355me obr\341zky" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 135 "p1:=plot([0,sqrt(1+x^2)],x=0..2):\np2:=plottools[line]([1,0],[1 ,2]):\np3:=textplot([0.5,0.5,`B`]):\ndisplay(\{p1,p2,p3\},title=`Obr \341zek 1`);" }}{PARA 13 "" 1 "" {GLPLOT2D 456 456 456 {PLOTDATA 2 "6) -%'CURVESG6$7S7$$\"\"!F)F(7$$\"39LLLL3VfV!#>F(7$$\"3'pmm;H[D:)F-F(7$$ \"3LLLLe0$=C\"!#=F(7$$\"3ILLL3RBr;F4F(7$$\"3Ymm;zjf)4#F4F(7$$\"3=LL$e4 ;[\\#F4F(7$$\"3p****\\i'y]!HF4F(7$$\"3,LL$ezs$HLF4F(7$$\"3_****\\7iI_P F4F(7$$\"3#pmmm@Xt=%F4F(7$$\"3QLLL3y_qXF4F(7$$\"3i******\\1!>+&F4F(7$$ \"3()******\\Z/NaF4F(7$$\"3'*******\\$fC&eF4F(7$$\"3ELL$ez6:B'F4F(7$$ \"3Smmm;=C#o'F4F(7$$\"3-mmmm#pS1(F4F(7$$\"3]****\\i`A3vF4F(7$$\"3slmmm (y8!zF4F(7$$\"3V++]i.tK$)F4F(7$$\"39++](3zMu)F4F(7$$\"3#pmm;H_?<*F4F(7 $$\"3emm;zihl&*F4F(7$$\"39LLL3#G,***F4F(7$$\"3FapF(7$$\" 3/++v.Uac>FapF(7$$\"\"#F)F(-%'COLOURG6&%$RGBG$\"#5!\"\"F(F(-F$6$7S7$F( $\"\"\"F)7$F+$\"37Ix\"3y\\4+\"Fap7$F/$\"3FI.i)p\"=6Fap7$FQ$ \"3/**eKO^:Q6Fap7$FT$\"3))*fL\"[&o'e6Fap7$FW$\"3'HD'p6)o#y6Fap7$FZ$\"3 6\"e;s2:F?\"Fap7$Fgn$\"3O5eaV4MC7Fap7$Fjn$\"31)\\#)[p$\\]7Fap7$F]o$\"3 IN#=YH([u7Fap7$F`o$\"30%))*))y'p;I\"Fap7$Fco$\"37v8:7*Q$G8Fap7$Ffo$\"3 k$3I5OKpN\"Fap7$Fio$\"3'>KFp\"*QQQ\"Fap7$F\\p$\"3!=Fap7$Fdr$\"3O &>b\\UFap7$F]s$\"3B$yv$p YvV>Fap7$F`s$\"3o3(\\D1\\-)>Fap7$Fcs$\"3qU7\\6-n;?Fap7$Ffs$\"39R]%H-G. 0#Fap7$Fis$\"3%=$ptFk6*3#Fap7$F\\t$\"3V)fko-#*R7#Fap7$F_t$\"3#*oF!4/d8 ;#Fap7$Fbt$\"3_3;3weG(>#Fap7$Fet$\"3\")*y*\\xz1OAFap-Fht6&FjtF(F[uF(-F $6#7$7$FbuF(7$FbuFet-%%TEXTG6$7$$\"\"&F]uF__lQ\"B6\"-%+AXESLABELSG6$Q \"xFb_lQ!Fb_l-%&TITLEG6#%*Obr|\\yzek~1G-%%VIEWG6$;F(Fet%(DEFAULTG" 1 2 0 1 10 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 0 "Curve 1" "Curve 2" "Curve 3" "Curve 4" }}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 150 "p1:=plot(1,u=-2..2):\np2:=implicitplot(u+sqrt(1+v^2),u=-2..2,v=0..1.5 ,color=blue):\np3:=textplot([-0.5,0.5,`B`]):\ndisplay(\{p1,p2,p3\},tit le=`Obr\341zek 2`);" }}{PARA 13 "" 1 "" {GLPLOT2D 456 456 456 {PLOTDATA 2 "6(-%%TEXTG6$7$$!\"&!\"\"$\"\"&F)Q\"B6\"-%'CURVESG6$7S7$$! \"#\"\"!$\"\"\"F57$$!3MLLL$Q6G\">!#'***!#=F67$$!3E++++0\"*H\"*FgnF 67$$!35++++83&H)FgnF67$$!3\\LLL3k(p`(FgnF67$$!3Anmmmj^NmFgnF67$$!3)zmm mYh=(eFgnF67$$!3+,++v#\\N)\\FgnF67$$!3commmCC(>%FgnF67$$!39*****\\FRXL $FgnF67$$!3t*****\\#=/8DFgnF67$$!3=mmm;a*el\"FgnF67$$!3komm;Wn(o)!#>F6 7$$!3IqLLL$eV(>!#?F67$$\"3)Qjmm\"f`@')FipF67$$\"3%z****\\nZ)H;FgnF67$$ \"3ckmm;$y*eCFgnF67$$\"3f)******R^bJ$FgnF67$$\"3'e*****\\5a`TFgnF67$$ \"3'o****\\7RV'\\FgnF67$$\"3Y'*****\\@fkeFgnF67$$\"3_ILLL&4Nn'FgnF67$$ \"3A*******\\,s`(FgnF67$$\"3%[mm;zM)>$)FgnF67$$\"3M*******pfa<*FgnF67$ $\"39HLLeg`!)**FgnF67$$\"3w****\\#G2A3\"F;F67$$\"3;LLL$)G[k6F;F67$$\"3 #)****\\7yh]7F;F67$$\"3xmmm')fdL8F;F67$$\"3bmmm,FT=9F;F67$$\"3FLL$e#pa -:F;F67$$\"3!*******Rv&)z:F;F67$$\"3ILLLGUYo;F;F67$$\"3_mmm1^rZF;F67$$\"\"#F5F6-%'COLOURG6&%$RGBG$\" #5F)$F5F5F\\v-F/6U7$7$$!3;++++++!o\"F;$\"35SaFM[%)\\8F;7$$!3^:=UJ+B/[g y\"F;$\"3c[xFr!o(z9F;7$7$$!3X&*>tPcx-=F;$\"3)3++++++]\"F;Fjw7$7$$!3C++ ++++?:F;$\"3k/9R+$zY9\"F;7$$!3GJ8=N*\\?c\"F;$\"3g+++++++7F;7$F[y7$$!3I _$f=e/$z:F;$\"3nds>=#RAA\"F;7$7$$!36KySx=g3;F;$\"3o++++++g7F;Fay7$7$$! 3MKySx=g3;F;Fjy7$$!39)*=*z:>fk\"F;$\"3LipC%o>sI\"F;7$7$$!3ec(eNK>gl\"F ;$\"3t++++++?8F;F`z7$FfzF`v7$7$$!3K++++++g8F;$\"37bwT([m\\@*Fgn7$$!3yw I4wy@'Q\"F;$\"33/++++++'*Fgn7$Fb[l7$$!3%od(z&Q7cR\"F;$\"32;4uYkaL(*Fgn 7$7$$!3*z_`oqD%G9F;$\"3Y++++++?5F;Fh[l7$F^\\l7$$!3))>'z*\\*HRX\"F;$\"3 !yNU7tB_0\"F;7$7$$!3IGzVf&p=Z\"F;$\"3_++++++!3\"F;Fd\\l7$Fj\\l7$$!3s$R wqpp]^\"F;$\"32[OSO6:Q6F;7$7$$!3d*Q\")p?Vk^\"F;$\"3d++++++S6F;F`]l7$Ff ]lFfx7$7$$!3g+++++++7F;$\"3!RId;h7Bj'Fgn7$$!37\\*fSuLAB\"F;$\"3'>+++++ +?(Fgn7$Fb^l7$$!3$=P9Cq*eT7F;$\"35&*Q0%QhfN(Fgn7$7$$!3O:!***3rAo7F;$\" 3[-++++++yFgnFh^l7$F^_l7$$!3utbKZ=I*G\"F;$\"3x-4ZF>)[8)Fgn7$7$$!3&3;&Q 0>F*)Fgn 7$7$$!37rtq/COX8F;$\"3c.++++++!*FgnF``l7$Ff`lF][l7$7$$!3[++++++S5F;$\" 3s'GLg_5`%GFgn7$$!32b5*3lIS/\"F;$\"3))**************HFgn7$Fbal7$$!3[\" 3cHY3\" F;$\"3G*************>%FgnFdbl7$7$F[cl$\"3%)*************>%Fgn7$$!3CrWS x>t#4\"F;$\"3!ewm_\"\\u(R%Fgn7$7$$!3sj*3*pRB46F;$\"3#)*************z%F gnFccl7$Ficl7$$!3Q>*Qr*pWB6F;$\"3DY4FRi#H6&Fgn7$7$$!3tHSh6e[O6F;$\"3M+ ++++++aFgnF_dl7$Fedl7$$!35l%p'4D[e6F;$\"3>$\\g7T4V%eFgn7$7$$!3=g!p*y.> m6F;$\"3)3+++++++'FgnF[el7$Fael7$$!33%=z*Hqq(>\"F;$\"3IS>Ui8S\"f'Fgn7$ 7$$!3)G,gSEl\")>\"F;$\"3U,++++++mFgnFgel7$F]fl7$$!3Q+++++++7F;F`^l7$7$ $F)F5F\\v7$$!37&GU(>TO,5F;$\"3awcL!\\a6b%Fip7$7$$!3Wb%4HQ)z,5F;$\"3y** ************fFipFifl7$F_gl7$$!3*H8f()*H.15F;$\"3'ouY`uBE2\"Fgn7$7$$!3r L6'\\Eur+\"F;$\"3%**************>\"FgnFegl7$7$F\\hl$\"33+++++++7Fgn7$$ !3iawku>m95F;$\"3B.(G\\S#)\\q\"Fgn7$7$$!3(HWqO'32;5F;$\"3#************ **z\"FgnFdhl7$Fjhl7$$!3Il!yUKGu-\"F;$\"3EVF/;i&GN#Fgn7$7$$!3J&fu0\"oRG 5F;$\"3!**************R#FgnF`il7$FfilF]al-Fgu6&FiuF\\vF\\v$\"*++++\"! \")-%+AXESLABELSG6%Q\"uF-Q!F--%%FONTG6#%(DEFAULTG-%&TITLEG6#%*Obr|\\yz ek~2G-%%VIEWG6$;F3FduFijl" 1 2 0 1 10 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 0 "Curve 1" "Curve 2" "Curve 3" }}}}{EXCHG {PARA 0 "" 0 " " {TEXT -1 37 "Dosazen\355m do druh\351ho vztahu dost\341v\341me" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 38 "2*Pi*Int(v*(0-(-sqrt(1+v^2)) ),v=0..1);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,$*(\"\"#\"\"\"%#PiGF&-% $IntG6$*&%\"vGF&,&F&F&*$)F,F%F&F&#F&F%/F,;\"\"!F&F&F&" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 23 "V\375sledn\375 objem je roven" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "simplify(value(%));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,$**\"\"#\"\"\"\"\"$!\"\"%#PiGF&,&*&F%F&F%#F&F%F&F &F(F&F&" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{SECT 1 {PARA 5 "" 0 "" {TEXT -1 20 "Obsah rota\350n\355 plochy" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 19 "P\370i v\375po\350tu obsahu " }{OLE 1 4146 1 "[xm]Br=WfoRrB:::wk;n yyI;G:;:j::>:B>N:F:nyyyyy]::yyyyyy:::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::fyyyyya:nYf::G:jy;::::::::::::::::: ::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::JcvGYMt> ^:fBWMtNHm=;:::::::n:;`:Z@[::JbYnXTnfln]Aj;JZM:<:=ja^ GE=;:::::::::N;?R:yyyyyyA:yayA:<::::::JDJ:j\\FHemj^HMmqnG;KaFFJufF>::: :::;K;vyyuy:>:<::::::=J:>Y>:F:AlqfG[maNFO=;::::::::_J;Zy=J:B::::::f:;j n>:;:wyyN::W:YJ:>\\:B:]:_J:nYvY::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::F:DZ:B::: KC;S:;::::::JHJ;n_;aU^xeQ<>:SJM_seQWdG_doB:arOMeU=DUSeJ=uVMuRAt UCUS[TRIUSamBPJd`ppPpsErJYUW_UTEeV;cMEM :@K::=Jyyy;d:yayYZHQ:>:;H:< :TNE>:UTRcETcTX[US;SGWCF;SK]UW=EWMuUWM@B::P`?oBY:ETV:WCKaTML]nIalHH:yayQ:>:F\\:EJ:D_mlVH[KR<:;B:::::::JFNZ;F:;B:?B:;B:yayA:<::::::IZ:nt:<:::::::::::::::::::vY xI:;Z::::::::j:>:E:=b:yyyyqZ:>ryMLyyyyYJA:Cc:V[:JMJ@fc[;>:[M>JwE:aB:;J:b:CB:f_;jZZ:Vy<>jx]:JBAj:Z<>ZJ^dcgg_; <:Uk:F;;JSd:>WUTRZ_gdO_UER :BKRG;YSKZnAH^;kAQ ^dZID:<[:_X=tYKLBxjZ:xo\\RJZ:FZZ:V ;n>^;yayI:>:>;NYB::CZ:f??JHjw?:sg:OV:`XCFq;yrq_:;jPV:CB:>x;FZ:J::B>N:F :nyyyyy]::yyyyyy:::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::fyyyyya:nYf::G:I:K:M:wAyA:::::::::::::::::::::::::::: ::::::::::::::::::::::::::::::::::::::::::::::::::_lqvGcMJ :::::::JEf:yyyxI^:VZHQ:R<:T><::[emwcKmDMIX:A:;h:::::::: :J?NZ;vyyyyyY:vYxY:B:::::::c:;:ElrfH=MtFGYMq>>Wlj:gmlJ::::::>>?jyyiy=J :B::::::F:;JGA:<:=j[vGUMrvC?MoJ::::::::JCN:ry:>:<::::::EJ:FG;J:JyyI?Z: VZ:>:C:W:G:wAK:M:OJ:V;^;;j@>:]:YJ:>\\:B:wA_J:V<^ZK^ZG_dZfbr_hlGF_J>@lQPnAMnQ@NbLYBxj]xoZHni@>YVKciDyDLcy]=D:<[:_xIHby?cnA\\IFbdv e>we?_xYgB@nAlj:F:=b:?b:?B:?j:@j:V:=JnjwRI?J>Em:nyyYZDjysyAbm?:;JZ=Z:Z@o<;j`@Pt\\Pd`QrPPJPMQ::::::yayYZ:B:CZ:F:;jysy?:;:kx>F]?J[ Y:=j>r:=y:;B:KJ_C:;j<>Z:NZ;N:YLpfF[LsfFaMR>`:J:<:::::::>=?R:=J:NZ:>:ya yA:<::::::IJ::<::::::wqy[::::::::::: ::vYxI:;Z::::::::::::::::::::yay=J:B::::::::F:;jryyY@;;E;D:;b:E:cjYEjlhJ H>Z:Vy:[V:>Z;>ZaTXU]fsW;\\:nt?N[Jyp?yrq?r?yrq?^:Qsq?:[K<<:Uk :F;;JSd::qTXf:^l;Z;b::Y=B:yc;ObiiWkIPZsW;;;:C:UK;^:> x;FZ:J::uTX>;;Jw[::DJZ;ZBH`:NZ>njerDAj;HZ;j:HRmn:EJ;NjbZ=Z<>ZBP `:J:@j:>Z;>:Hrj:NFpJ;LJ=O^le:;::::::Z<^Z:jPF:EJ:^<]e:eGb<>aCN[=vlCNQiD>ooefSGWRXQJJ:>`::Uk<^:>X?B:MJ:n<>^=^=;jw?jx]:JBA:>:J:f??J :_CDMSFKSD]w:[T:CU:ex:[T:;r:EB:^:qQKZ:JBAj:>:;b::a=::;`q?>>::U k<^:>X?j>>:_c:cJYLjxMJHjw;<:[V:J:D::::>RXQJJ::f??J:cJJEJy^=VY;><:[V:J:D::::>RXQJJ::f?EJ@ZXEj>>:_c>::Uk<^:>X?j>>:_cZ:JBA:@ZjqrWB:y[>::UK;^:>XEj>>:_cj>NSn> Nk;fc[_Hc\\_gdOoi;fZ;R;L>P]:V\\Q[f;M=:JdRSa=:WmBVDUeRY]KrJ:;;;ZGk\\jjN Hni@>YVKciDr]\\IFBJtyo\\RJ:=b:?J ;<:=j:VZ:F:CZDFZ:Jt:[u:x:<:AfSDZ<@?Vjr?ZZ;ZBH@LJ=iL::j:HBGj:;R:=B:; R:;Z=HF:?]G:?[DB:AFSJv>:QB:n>^;yayI:Jw?Z:>Z::^:`WCFq;yrq_:;jP v:C:[Q;Z:>::::WTJWTL>Z:::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::1:" }{TEXT -1 25 " v p\370\355pad\354, \+ kdy plocha " }{TEXT 306 1 "S" }{TEXT -1 21 " vznik\341 rotac\355 grafu " }{OLE 1 4146 1 "[xm]Br=WfoRrB:::wk;nyyI;G:;:j::>:B>N:F:nyyyyy]::yyy yyy::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: ::::fyyyyya:nYf::G:jy;:::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::JcvGYMt>^:fBWMtNHm=;:::::::n:;`:Z@[::JrtVYTnfln]Aj;JZQZ:B:F:YLpfF>:::::::::J?NZ;vyyyyyY:vYxY :B:::::::c:;:ElrfH=MtFGYMq>>Wlj:gmlJ::::::>>?jyyiy=J:B::::::F:;jI@:<:= j[vGUMrvC?MoJ::::::::JCN:ry:>:<::::::E:MM:>:nyyM;B:AB:;Jj>J?> :Q:SJ:f;;jA>:wA[J:F:wAyA::::::::::::::::::::::::::::::::: ::::::::::::::::::::::::::::::::::::F:DZ:B:::[I;SJq^H;kc>GYMr>>[LsvG;k T>>MlpFFImlF;s:?JQ@v;@:cyt_Z:>:SJM_seQWdG_doB:arOMeU=DUSeJ=uVMu RAtUCUS[TRIUSamBPJd`ppPpsErJYUW_UTEeV;c MEM:@K:ETV:WCKa TML]nIalHH>Z =Vn;>Z:N:U>;j<>Z:NZ;N:YLpJbNHEms>@[C:>Z::::::::kJ;@j:>Z:NZ:>Z:vYxY:B:: ::::v:;B:Kv:;Z:j:vCJ::<::::::wqy[:::::::::::::vY xI:;Z::::::::::::::::::::yay=J:B::::::::F:;jjEV<;JMTjA^=yyyxY:D:DjZ:Vy<>jx]:JBA:;B:DJ:@C:US:^[:>:_cL=B:x;JB>Z:N@B:G:meSkURkeR?f:?M[AJfDJKDZ=fZ:JDJp@JHjw;<:[N:R:; b:VdscRYEUXQZ:bRB::::::>^:QS;:j P>:C:[q:^;N`DZ:VZ:B:usbAWn_W;;d:Hj@KMjA@j`@Pt^DPpdPo;@j<@:L>P]:VH>:>:j\\jjN:<[=SJvk?cDr]B:=b:?J;:bRB:Q:G;Sjysy=Z:>:^=:sg:OV:`XCFq;yrq_:;B:Uk:^:>X;j;>Z:>::::WTJWTL:B >N:F:nyyyyy]::yyyyyy:::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::fyyyyya:nYf::G:jy;::::::::::::::::::::::::::::::: ::::::::::::::::::::::::::::::::::::::::::::::::JcvGYMt>^:fBWMtNHm=;:: :::::n:;`:Z@[::JrtVYTnfln]Aj;JZM:<:=ja^GE=;:::::::::N ;?R:yyyyyyA:yayA:<::::::JDJ:j\\FHemj^HMmqnG;KaFFJufF>::::::;K;vyyuy:>: <::::::=J:nX>:F:AlqfG[maNFO=;::::::::_J;Zy=J:B::::::f:;jn>:;:wyyN::W:YJ:>\\:B:]:_J:nYvY::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::F:DZ:B:::[YJou:B::::::: s:?JQ@VgKJ`XCJ:^;GOv]XCfZ;R;LncpNdP]:V\\QGghGbf_gCRMcDBEDXce V=MC>[[v_?wk>w_;?dnA\\IvbYGbJOxYn];?dni\\IFb:^x?_x_^xIPbYGB<[=we;kAQNt eli\\NtyrZZ:>:aB:;J>B:=B:wyyAbr:B:bKgJ:fc[_ hb_ds?h_?^on_j>^?GhoGfnGgioGSZ::RSPN]v;;j\\@AJQLncp^nBwmcf]=;:::::jysy AB:^::yayQ:>:F\\D_mlVH[KR<:;B :::::::JFNZ;F:Z:>v:<::::::wqy[:::::::::::::vYxI:;Z::::::::::::::::::::yay=J:B::::::::F: ;jZ:>ryMMyyyy YJA:GY:^;UTR:;Jjf:DZ:b:E:cb:AY:yS:sZ:Vy@C:US:F[:>:_cj;n?s J:VY;fyB:>l;:;b::::JZsW;;;:jPF:C:[Y:F;;JSZ:F:In>nVUTRZ_gdOOUER: BKRG:>:j\\jjNYVKd:C:[q:V:;B:;:::Ja@Na`><::::::::::::::::::::::::::::::::::::::::::: ::::::::::::::::::::::::5:" }{TEXT -1 14 " , kde funkce " }{TEXT 307 1 "f" }{TEXT -1 49 " je nez\341porn\341 a spojit\341 z\341rove\362 se \+ svou derivac\355 " }{OLE 1 4146 1 "[xm]Br=WfoRrB:::wk;nyyI;G:;:j::>:B> N:F:nyyyyy]::yyyyyy::::::::::::::::::::::::::::::::::::::::::::::::::: ::::::::::::::::::::fyyyyya:nYf::G:jy;:::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::JcvGYMt>^:fBWMtNHm=;::: ::::n:;`:Z@[::JrtVYTnfln]Aj;JZPZ:B:F:YLpfF>:::::::::J ?NZ;vyyyyyY:vYxY:B:::::::c:;:ElrfH=MtFGYMq>>Wlj:gmlJ::::::>>?jyyiy=J:B ::::::F:;JvK:j:VBYmp>HYLkNG>::::::::N:;:wyyN:;F;N;;j?J@j@>:W:YJ:>\\:B:]:_J:V<^:SJM_seQWdG_doB:arOMeU=DUSeJ=uVMuRAtUCUS[TRIUSam BPJd`ppPpsErJYUW_UTEeV;cMEM:@Kr:B:bKgJ:fc[_hb_d s?h_?^on_j>^?GhoGfnGgioGSZ::RSPN]v;fbk;n_>WdGCGLyVDurB:;:::::jysyAB:^: :yayQ:>:vy=JTD:Kr:F:MZ=^j;J;FID_mlVH[KR<:;B:::::: :JFNZ;F:;B:?B:;B:yyyxY:B::::::v:;B:Ot:B:F:Y<>Z:>:::::::::J?:<::::::::=J:f: FZ:Gc;YJHvyyuy;B:UD:[Z:>ryM]yyyyYjH:GX :DEZ:F[f;^m;^=Z:b:;B>cTTUUSZZ:W E:iWkIxW;XkIxW;CjOxW;JR^:f_;J?JSd::KSD[T:Hj<<:c:?NH>:qAB:>L=B:>::Uk:^:>x;B:O:_;:GEXgW:HZ:JDNc;Nb;^=VYZ:JB?:;R:;b:;B> aTXDpql`q?B[oB:a:l@::JdRSa=:Fv?Y>LYBxj]BN_ALyDB:P>: <[=SJvk?cDy\\ID:<[:kZxQ^>\\IFBvExo\\RJZ:FZ:KRt_jVAv]YQ<>Z:f?=J<:::::::::::::::::::: ::::::::::::::::::::::::::::::1:" }{TEXT -1 23 " v uzav\370en\351m int ervalu " }{OLE 1 4146 1 "[xm]Br=WfoRrB:::wk;nyyI;G:;:j::>:B>N:F:nyyyyy ]::yyyyyy::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: ::::::::::fyyyyya:nYf::G:jy;:::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::JcvGYMt>^:fBWMtNHm=;:::::::n:;`:Z@[::JrtVYTnfln]Aj;J:QZ:B:F:YLpfF>:::::::::J?NZ;vyyyyy Y:vYxY:B:::::::c:;:ElrfH=MtFGYMq>>Wlj:gmlJ::::::>>?jyyiy=J:B::::::F:;J ;@J:B:F:AlqfG[maNFO=;::::::::_J;Zy=J:B::::::f:FG;J:JyyI?Z:VZ:>:C:W:G:w AK:M:OJ:V;^;f;;jA>:wA[J:FH;KbN HYMJf@;k^fG=mmfFMJH>:?JQ@VmKJ`WCB:;J@nNkIp_j<@Z?BKaTMcTGZK^ZG_dZfbr_hlGF_J>@lQPnAMnQ@NbLYBxj]xoZHni@>YVKciDyDLcy]=D:<[:_xIHby?cnA\\IFbdve>we?_xYgB@nAlj:F:=b: ?b:?B:?j:@j:V:=J=Jyyy;d:yayYZ HQ:r:B:bKgJ:fc[_hb_ds?h_?^on_j>^?GhoGfnGgioGSZ::RSPN]v;fbk;n_>WdGC GLyVDur>Z:>::fWUmofHMjwnB=l[NBekysyAB::EJ:`:J:<:::::::>=?R:=J::<:::::::::::::::::::vYxI:;Z::::::::j:>:E:=b:yyyyq<^;UTR:;Jr>;;J wE:aB:;B:;Z<^Z:jP@:EZ:^\\<^EunBKt: EJ:^<;ci:E:Mb:>Zjx]:JBA:;B:DJ:@CJ:f?=j>>:_cZ<:VH: :>RXQJJ::f??J:>:::::::::::C:[Y:=J?JSZ:N:;jjDP_@:w=G;_q`@@RSeTOGq<@:L>P ]:V\\Q[f;::]Jd::jBjpDpql@H>:>:j\\bV=MC>;YSKZnA\\IvBYV KdZ=>Z;b:HrjN:?^:Uk;^:>X?B:AJ::B>N:F:nyyyyy]::yyyyyy:::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::fyyyy ya:nYf::G:I:K:M:wAyA:::::::::::::::::::::::::::::::::::::::::::::::::: ::::::::::::::::::::::::::::_lqvGcMJ:::::::JEf:yyyxI^:VZHQ :R<:T><::[emwcKmDMIX:A:;d:::::::::J?NZ;vyyyyyY:vYxY:B:: :::::c:;:ElrfH=MtFGYMq>>Wlj:gmlJ::::::>>?jyyiy=J:B::::::F:;j@A:<:=j[vG UMrvC?MoJ::::::::JCN:ry:>:<::::::EJ:FG;J:JyyI?Z:VZ:>:CJ:n;n:nY>;F;N;;j ?J@j@>:]:YJ:>\\:B:wA_J:V<^[Zyj=NAsLtfFkMh:fGGMhfGMmo^HJhNFs:?JQ@vr@:cyt_:;J@nNSxt_j<@Z?BKaTMcT GZK^ZG_dZfbr_hlGF_J>@lQPnAMnQ@NbLYBxj]xoZHni@>YVKciDyDLcy]=D:<[:_xIHby?cnA\\IFbdve>we?_ xYgB@nAlj:F:=b:?b:?B:?j:@j:V:=JnjwRI ?J>Em:nyyYZDjysyAbm?:;JZ=Z:Z@o<;j`@Pt\\Pd`QrPPJPMQ::FCcl\\VBcldNDED:uKv>Ayyyxy;:yay Q:>:VnKJXPZ:^fAj:F;HJSI:KB:CP:>:EJ:d:NHEms>@[C:>Z::::::::k J;@j:>Z:NZ:>:yayA:<::::::IJ:Z:>:::::::::J?:<::::::::=J:f:FZr>B>aB:;JMTjA^=yyyxY:j? <:G;Sj`@@J:R:KJ:NyD:;b:E:cjiEjj`JHB:qi:iYyAA;JBA:;R:;b:>:^:f??J@r=>h=r=]m:AM:DJZEFZ;F:?B:Kf F;Z:FZ;B:=B:LJCFB:E\\;;F ZZ:B:DZ:^:f?AJ>Jwg:=J:Z:JBA:cT TPpsnC<>:[C:jPf:C:[Q;>:_;:cJZEJJHJHjw?jx] :JBA:>:J:f??J_cFf>vp=>g;r:EB:^L=B:;J:D:js::JZsW;;;:jPf:C:[Q;>\\:B:_c>v;Ff<>RHj <<:cjwgw>^=;jwO>B:>LR:DJ:>::UK;^:>XEj>>:_c l;Z;b::Y=B:g`Qvp?yR ;`q?>>::Uk<^:>X?j>>:_c:?WXH:^<;PtAJ?JSZ:N:;B:usDQe;Hjw> ^=;jw?rw]:JBA:@ZjqrWB:g`Rvp?yR;`q?>>::Uk<^:>X?j>>:_cj>^Rn ^@jx@j`@PtZ_gdOGh;R:BKRGV\\Q[f;M]i;:c\\_WH:nG]jcfg\\wG@[=;>^HK:RMfBFF_ J>v?Y>LYBvBYVKdlir]\\IFBJtyo\\RJZ:FZkkJklB:^jkZ:V[:JMJ@vYxy:B:;:K:oQ::sg:bu=b:?bBaTXaEWEUU>Z:N[:F>OV:`XCFq;yrq_:;jPv:C:[q>Z:>@C:UK;^:>XF;N`DJ::?WXfZ:B:cJZS:JSZ:N:;j X:JDNc=:;jw?RB:>l;Z;b:;B>a>:_cfI^HRSFH@:L>B:a:l@FG::c\\_WHBBJq:UeRY]KrJ:;;;ZGk\\jjJ>v?Y>LYBvBYVKdlir]A=Cb[QC:r::::::::::1 :" }{TEXT -1 25 " v p\370\355pad\354, kdy plocha " }{TEXT 311 1 "S" }{TEXT -1 21 " vznik\341 rotac\355 grafu " }{OLE 1 4146 1 "[xm]Br=WfoR rB:::wk;nyyI;G:;:j::>:B>N:F:nyyyyy]::yyyyyy::::::::::::::::::::::::::: ::::::::::::::::::::::::::::::::::::::::::::fyyyyya:nYf::G:jy;:::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :JcvGYMt>^:fBWMtNHm=;:::::::n:;`:Z@[::JrtVYTnfln]Aj;J :T:<:=ja^GE=;:::::::::N;?R:yyyyyyA:yayA:<::::::JDJ:j\\FHemj^HMmqnG;KaF FJufF>::::::;K;vyyuy:>:<::::::=J:F^;Z:j:VBYmp>HYLkNG>::::::::N:MM:>:nyyM;B:AB:;Jj>J?>:Q:S:UJ:v;;JyKB>:]:_J:V<^IsCRMcDBEDXceV=MC>[[v_?wk>w_;?dnA \\IvbYGbJOxYn];?dni\\IFb:^x?_x_^xIPbYGB<[=we;kAQNteli\\NtyrZZ=Hi:N:?VDD:=Jyyy;dZ:vYxy;tV;J:>r:B:bKgJ:fc[_hb_ds?h_?^on_j> ^?GhoGfnGgioGSZ::RSPN]v;fbk;n_>WdGCGLyVDurB:;::?lZ^DqKQVBUL\\VAnDyyyxy ;<:CZ:F:;jysy?:;:oS=^`D_mlVH[KR<:;B :::::::JFNZ;F:;B:?B:;B:yayA:<::::::IJ:Nw=Z:j:vCJ::<::::::wqy[:::::::::::::vYxI:;Z::::::::::::::::::::yay=J:B::::::::F: ;jryM]yyyyYZi: GX:^;UTR:;Jbf:D:Djl;J:ZJ^dcgg_;< _c^_H>g;nIHj<<:c:SLH>:qA >Z:JBGZ:B:;b::a=::;`q?>>:^:f?=J<<:[Y:f;iaGisob<^k;>g>r:EB:^<>s ?^=;jw;<:[>;R:;b:VdscRYEUXQZB:yd;Ob;iWkIPZsW;;;JPNZ>^jkXZ[OZ>nj^O^]P:A N:^Z@:C:[q:N;N`DZ:N:;jjDPvM:JD Jd@JH>:qAB:>L;J:@Zjq:>:[;f?=JF\\;fc[_HRSeTOER:ER:BKRGv?ZnAH^;kAQ^dBLxb:B><>=tYKLBxjZjirQE\\;;:^=:sg:OV:Z:f? ;J:B>N:F:nyyyyy]::yyyyyy::::::::::::::::::::::::::: ::::::::::::::::::::::::::::::::::::::::::::fyyyyya:nYf::G:jy;:::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :JcvGYMt>^:fBWMtNHm=;:::::::n:;`:Z@[::JBPOZTnfln]Aj;J ZM:<:=ja^GE=;:::::::::N;?R:yyyyyyA:yayA:<::::::JDJ:j\\FHemj^HMmqnG;KaF FJufF>::::::;K;vyyuy:>:<::::::=J:nX>:F:AlqfG[maNFO=;::::::::_J;Zy=J:B: :::::f:;jn>:;:wyyN::W:YJ:>\\:B:]:_J:nYvY:: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: F:DZ:B:::ku:SJq^H;kc>GYMr>>[LsvG;kT>>MlpFFImlF;s:?JQ@VgKtiWCB:;J@nNSxp _j<@Z?BKaTMcTGZK^ZG_dZfbr_hlGF_J>@lQPnAMnQ@NbLYBx j]xoZHni@>YVKciDyDLcy]=D:<[:_xIHby?cnA \\IFbdve>we?_xYgB@nAlj:F:=b:?b:?B:?j:@j:V:=JI@j:>Alj>H=B:wyyAb:;:kYxKv:yyyyyyA B:^:Z:NZ;N:YLpJbNHEms>@[C:>Z: :::::::kJ;@j:B:?B:;B:yayA:<::::::IZ:>v: <::::::wqy[:::::::::::::vYxI:;Z::::::::::::::::::::yay=J:B::::::::F:;j Z:>ryMMyyyyYJ A:GY:^;UTR:;Jjf:D:DjZ:JBAj:Z<>ZJ^d cgg_;<is_q;f:^<;V:WKH>:q Q:uI<:[V:J:D::::>RXQJJ::f?=JP ]:Vv?ZnAH^;kAQ^dZID: <[:kZxQ^>\\IFBZYgB@>B:=b:?J;<:=j:V:=Ji:R:=B:;j?^; yayI:>:^=:sg:OV:Z: f?;J:B>N:F:nyyyyy]::yyyyyy: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: fyyyyya:nYf::G:jy;:::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::JcvGYMt>^:fBWMtNHm=;:::::::n:;`:Z@[::JBPOZTnfln]Aj;JZPZ:B:F:YLpfF>:::::::::J?NZ;vyyyyyY:vYxY:B:: :::::c:;:ElrfH=MtFGYMq>>Wlj:gmlJ::::::>>?jyyiy=J:B::::::F:;JvK:j:VBYmp >HYLkNG>::::::::N:;:wyyN:;F;N;;j?J@j @>:W:YJ:>\\:B:]:_J:V<^tXsH:<::::::JHJ;n_;aU>^cQ<>:SJM? ybQWdG_doB:arOMeU=DUSeJ=uVMuRAtUCUS[TRIUSamBPJd`ppPpsErJYUW_UTEeV;cMEM:@K::::::yayYZ:J[=j:F;HJZ:NZ;N:YLpJbNHEms>@[C:>Z::::::::kJ;@j:>Z:NZ:>Z:v yyuy;Z::::::j=B:Ot:B:F:Y<>Z:>:::::::::J?:<::::::::=J:f:FZ:Gc;YJHvyyuy;B:UD:[Z:>ryM]yyyyYjH:GX:DEZ :F[l;J:ZJ^dcgg_;<_c>g;r:EB:^<^CsJ:VYZ:JBGZ:B:;b:<;VH::>RXQJJ::f?=J :IUX;Y:HZ:JDNc;^^;^=VYZ:JB?Z:>Z;>Z<>ZJVdscRYEUXQZB:ue;ObF iWkIPZsW;;;:jP>:C:[q:F;;JSd:Z:Nnss:mM:n>>WUTRZ_gdO_UER:BKRG;Y;Bw[r=I\\JOXBweZ:RK:B>H^;kAQ^dvExb:B><>= tYKLBxjZjirQE\\;;Z:>::::WTJWTLB:::::::::::::::::::::::::::::::::::::::::: ::::::::3:" }{TEXT -1 23 " v uzav\370en\351m intervalu " }{OLE 1 4146 1 "[xm]Br=WfoRrB:::wk;nyyI;G:;:j::>:B>N:F:nyyyyy]::yyyyyy::::::::::::: ::::::::::::::::::::::::::::::::::::::::::::::::::::::::::fyyyyya:nYf: :G:jy;:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::JcvGYMt>^:fBWMtNHm=;:::::::n:;`:Z@[::J BPOZTnfln]Aj;J:T:<:=ja^GE=;:::::::::N;?R:yyyyyyA:yayA:<::::::JDJ:j\\FH emj^HMmqnG;KaFFJufF>::::::;K;vyyuy:>:<::::::=J:N];Z:j:VBYmp>HYLkNG>::: :::::N:MM:>:nyyM;B:AB:;Jj>J?>:Q:S:UJ:v;;JyKB >:]:_J:V<^i=^;>:yayqyyyY;Z:vYxYyK:B:yayqY>::SJM_seQWdG_doB:arOMeU=DUSeJ=uVMuRAtUCUS[TRIUSamBPJd `ppPpsErJYUW_UTEeV;cMEM:@KHp=Ffr:B:bKgJ: fc[_hb_ds?h_?^on_j>^?GhoGfnGgioGSZ::RSPN]v;fbk;n_>WdGCGLyVDurB:;:ZTW]q ?oTW]q_HM:;::yayYZ:B:CZ:F:;jysy?:;:eID_mlVH[KR<:;B:::::::JFNZ;F:;B:?B:;B:yayA:<::::::I:cy::<::::::::=J:f:FZ:^;UTR:;Jr>;b;FCE:cJZ@:jC^^B:aJLni=f:F[l;J:ZJ^dcgg_;<:Uk:^;;J Sd:`xycZ;>Z<>:aTXDpql`q?B?B:?^:qAB:>L;B:;R:DJ:<;vGZ:ne@N[Bvp?yR;`q?>> :^:f?=J:aWXHJ??:G;OR:UTRc=PpdPOygZ;Z>[oB:arOBUFF::^DP ps:JqFv_?wKBw[j]BN_ALyDB:P>rQB>H^;kAQ^dZID:<[:_X= tYKLBxjZ:xo\\RJZ:FZZ:sg::Uk;^:>X=B:>Z:>::::WTJWTLB::::::::: ::3:" }{TEXT -1 2 " ." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" } }}{SECT 1 {PARA 20 "" 0 "" {TEXT -1 9 "P\370\355klad 1" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 70 "Odvod\355me vzorec pro v\375po\350et obsa hu pl\341\232t\354 rota\350n\355ho ku\236ele o polom\354ru " }{TEXT 314 1 "r" }{TEXT -1 9 " a v\375\232ce " }{TEXT 315 1 "h" }{TEXT -1 45 ". Uk\341\236eme pou\236it\355 obou v\375\232e uveden\375ch vztah\371. " }}{PARA 0 "" 0 "" {TEXT -1 27 "Nejd\370\355ve nakresl\355me obr\341z ky" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 36 "restart:with(plots):w ith(plottools):" }}{PARA 7 "" 1 "" {TEXT -1 50 "Warning, the name chan gecoords has been redefined\n" }}{PARA 7 "" 1 "" {TEXT -1 43 "Warning, the name arrow has been redefined\n" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 226 "p1:=plot([0,1,1/2*x],x=0..2,color=[black,black,blue] ,linestyle=[1,2,1]):\np2:=line([2,0],[2,1],color=black,linestyle=2):\n p3:=textplot(\{[1,0.6,`y=r/h*x`],[0.02,0.98,`r`],[1.98,0.019,`h`]\}): \ndisplay(\{p1,p2,p3\},title=`Obr\341zek 1`);" }}{PARA 13 "" 1 "" {GLPLOT2D 456 456 456 {PLOTDATA 2 "6,-%%TEXTG6$7$$\"\"\"\"\"!$\"\"'!\" \"Q(y=r/h*x6\"-F$6$7$$\"\"#!\"#$\"#)*F4Q\"rF.-F$6$7$$\"$)>F4$\"#>!\"$Q \"hF.-%'CURVESG6%7$7$$F3F)$F)F)7$FFF'-%'COLOURG6&%$RGBGF)F)F)-%*LINEST YLEG6#F3-FB6%7S7$FGFG7$$\"39LLLL3VfV!#>FG7$$\"3'pmm;H[D:)FWFG7$$\"3LLL Le0$=C\"!#=FG7$$\"3ILLL3RBr;FhnFG7$$\"3Ymm;zjf)4#FhnFG7$$\"3=LL$e4;[\\ #FhnFG7$$\"3p****\\i'y]!HFhnFG7$$\"3,LL$ezs$HLFhnFG7$$\"3_****\\7iI_PF hnFG7$$\"3#pmmm@Xt=%FhnFG7$$\"3QLLL3y_qXFhnFG7$$\"3i******\\1!>+&FhnFG 7$$\"3()******\\Z/NaFhnFG7$$\"3'*******\\$fC&eFhnFG7$$\"3ELL$ez6:B'Fhn FG7$$\"3Smmm;=C#o'FhnFG7$$\"3-mmmm#pS1(FhnFG7$$\"3]****\\i`A3vFhnFG7$$ \"3slmmm(y8!zFhnFG7$$\"3V++]i.tK$)FhnFG7$$\"39++](3zMu)FhnFG7$$\"3#pmm ;H_?<*FhnFG7$$\"3emm;zihl&*FhnFG7$$\"39LLL3#G,***FhnFG7$$\"3F[sFG7$$\"3/++v.Uac>F[sFGFEFI-FN6#F(-FB6%7S7$FGF'7$FUF'7$FYF'7$Ff nF'7$FjnF'7$F]oF'7$F`oF'7$FcoF'7$FfoF'7$FioF'7$F\\pF'7$F_pF'7$FbpF'7$F epF'7$FhpF'7$F[qF'7$F^qF'7$FaqF'7$FdqF'7$FgqF'7$FjqF'7$F]rF'7$F`rF'7$F crF'7$FfrF'7$FirF'7$F]sF'7$F`sF'7$FcsF'7$FfsF'7$FisF'7$F\\tF'7$F_tF'7$ FbtF'7$FetF'7$FhtF'7$F[uF'7$F^uF'7$FauF'7$FduF'7$FguF'7$FjuF'7$F]vF'7$ F`vF'7$FcvF'7$FfvF'7$FivF'7$F\\wF'FHFIFM-FB6%7SFS7$FU$\"3emmm;arz@FW7$ FY$\"3[LL$e9ui2%FW7$Ffn$\"3nmmm\"z_\"4iFW7$Fjn$\"3[mmmT&phN)FW7$F]o$\" 3CLLe*=)H\\5Fhn7$F`o$\"3gmm\"z/3uC\"Fhn7$Fco$\"3%)***\\7LRDX\"Fhn7$Ffo $\"3]mm\"zR'ok;Fhn7$Fio$\"3w***\\i5`h(=Fhn7$F\\p$\"3WLLL3En$4#Fhn7$F_p $\"3qmm;/RE&G#Fhn7$Fbp$\"3\")*****\\K]4]#Fhn7$Fep$\"3$******\\PAvr#Fhn 7$Fhp$\"3)******\\nHi#HFhn7$F[q$\"3jmm\"z*ev:JFhn7$F^q$\"3?LLL347TLFhn 7$Faq$\"3,LLLLY.KNFhn7$Fdq$\"3w***\\7o7Tv$Fhn7$Fgq$\"3'GLLLQ*o]RFhn7$F jq$\"3A++D\"=lj;%Fhn7$F]r$\"31++vV&RY2aFhn7$F`s$\"39mm;zXu9cFhn7$Fcs$\"3l******\\y))GeFhn7$Ffs$ \"3'*)***\\i_QQgFhn7$Fis$\"3@***\\7y%3TiFhn7$F\\t$\"35****\\P![hY'Fhn7 $F_t$\"3kKLL$Qx$omFhn7$Fbt$\"3!)*****\\P+V)oFhn7$Fet$\"3?mm\"zpe*zqFhn 7$Fht$\"3%)*****\\#\\'QH(Fhn7$F[u$\"3GKLe9S8&\\(Fhn7$F^u$\"3R***\\i?=b q(Fhn7$Fau$\"3\"HLL$3s?6zFhn7$Fdu$\"3a***\\7`Wl7)Fhn7$Fgu$\"3#pmmm'*RR L)Fhn7$Fju$\"3Qmm;a<.Y&)Fhn7$F]v$\"3=LLe9tOc()Fhn7$F`v$\"3u******\\Qk \\*)Fhn7$Fcv$\"3CLL$3dg6<*Fhn7$Ffv$\"3ImmmmxGp$*Fhn7$Fiv$\"3A++D\"oK0e *Fhn7$F\\w$\"3A++v=5s#y*FhnFH-FJ6&FLFGFG$\"*++++\"!\")F^w-%&TITLEG6#%* Obr|\\yzek~1G-%+AXESLABELSG6$Q\"xF.Q!F.-%%VIEWG6$;FGFF%(DEFAULTG" 1 2 0 1 10 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 0 "Curve 1" "Curve 2 " "Curve 3" "Curve 4" "Curve 5" "Curve 6" "Curve 7" }}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 226 "p1:=plot([0,1,1/2*x],x=0..2,color=[black ,black,blue],linestyle=[1,2,1]):\np2:=line([2,0],[2,1],color=black,lin estyle=2):\np3:=textplot(\{[1,0.6,`x=h/r*y`],[0.02,0.98,`r`],[1.98,0.0 19,`h`]\}):\ndisplay(\{p1,p2,p3\},title=`Obr\341zek 2`);" }}{PARA 13 " " 1 "" {GLPLOT2D 456 456 456 {PLOTDATA 2 "6,-%'CURVESG6%7$7$$\"\"#\"\" !$F*F*7$F($\"\"\"F*-%'COLOURG6&%$RGBGF*F*F*-%*LINESTYLEG6#F)-F$6%7S7$F +F+7$$\"39LLLL3VfV!#>F+7$$\"3'pmm;H[D:)F=F+7$$\"3LLLLe0$=C\"!#=F+7$$\" 3ILLL3RBr;FDF+7$$\"3Ymm;zjf)4#FDF+7$$\"3=LL$e4;[\\#FDF+7$$\"3p****\\i' y]!HFDF+7$$\"3,LL$ezs$HLFDF+7$$\"3_****\\7iI_PFDF+7$$\"3#pmmm@Xt=%FDF+ 7$$\"3QLLL3y_qXFDF+7$$\"3i******\\1!>+&FDF+7$$\"3()******\\Z/NaFDF+7$$ \"3'*******\\$fC&eFDF+7$$\"3ELL$ez6:B'FDF+7$$\"3Smmm;=C#o'FDF+7$$\"3-m mmm#pS1(FDF+7$$\"3]****\\i`A3vFDF+7$$\"3slmmm(y8!zFDF+7$$\"3V++]i.tK$) FDF+7$$\"39++](3zMu)FDF+7$$\"3#pmm;H_?<*FDF+7$$\"3emm;zihl&*FDF+7$$\"3 9LLL3#G,***FDF+7$$\"3FaqF+7$$\"3/++v.Uac>FaqF+F'F/-F46#F. -F$6%7S7$F+F-7$F;F-7$F?F-7$FBF-7$FFF-7$FIF-7$FLF-7$FOF-7$FRF-7$FUF-7$F XF-7$FenF-7$FhnF-7$F[oF-7$F^oF-7$FaoF-7$FdoF-7$FgoF-7$FjoF-7$F]pF-7$F` pF-7$FcpF-7$FfpF-7$FipF-7$F\\qF-7$F_qF-7$FcqF-7$FfqF-7$FiqF-7$F\\rF-7$ F_rF-7$FbrF-7$FerF-7$FhrF-7$F[sF-7$F^sF-7$FasF-7$FdsF-7$FgsF-7$FjsF-7$ F]tF-7$F`tF-7$FctF-7$FftF-7$FitF-7$F\\uF-7$F_uF-7$FbuF-F,F/F3-F$6%7SF9 7$F;$\"3emmm;arz@F=7$F?$\"3[LL$e9ui2%F=7$FB$\"3nmmm\"z_\"4iF=7$FF$\"3[ mmmT&phN)F=7$FI$\"3CLLe*=)H\\5FD7$FL$\"3gmm\"z/3uC\"FD7$FO$\"3%)***\\7 LRDX\"FD7$FR$\"3]mm\"zR'ok;FD7$FU$\"3w***\\i5`h(=FD7$FX$\"3WLLL3En$4#F D7$Fen$\"3qmm;/RE&G#FD7$Fhn$\"3\")*****\\K]4]#FD7$F[o$\"3$******\\PAvr #FD7$F^o$\"3)******\\nHi#HFD7$Fao$\"3jmm\"z*ev:JFD7$Fdo$\"3?LLL347TLFD 7$Fgo$\"3,LLLLY.KNFD7$Fjo$\"3w***\\7o7Tv$FD7$F]p$\"3'GLLLQ*o]RFD7$F`p$ \"3A++D\"=lj;%FD7$Fcp$\"31++vV&RY2aFD7$Ffq$\"39mm;zXu9cFD7$Fiq$\"3l******\\y))GeFD7$F\\r$\"3'*)*** \\i_QQgFD7$F_r$\"3@***\\7y%3TiFD7$Fbr$\"35****\\P![hY'FD7$Fer$\"3kKLL$ Qx$omFD7$Fhr$\"3!)*****\\P+V)oFD7$F[s$\"3?mm\"zpe*zqFD7$F^s$\"3%)***** \\#\\'QH(FD7$Fas$\"3GKLe9S8&\\(FD7$Fds$\"3R***\\i?=bq(FD7$Fgs$\"3\"HLL $3s?6zFD7$Fjs$\"3a***\\7`Wl7)FD7$F]t$\"3#pmmm'*RRL)FD7$F`t$\"3Qmm;a<.Y &)FD7$Fct$\"3=LLe9tOc()FD7$Fft$\"3u******\\Qk\\*)FD7$Fit$\"3CLL$3dg6<* FD7$F\\u$\"3ImmmmxGp$*FD7$F_u$\"3A++D\"oK0e*FD7$Fbu$\"3A++v=5s#y*FDF,- F06&F2F+F+$\"*++++\"!\")Fdu-%%TEXTG6$7$$F)!\"#$\"#)*FcblQ\"r6\"-F_bl6$ 7$$\"$)>Fcbl$\"#>!\"$Q\"hFgbl-F_bl6$7$F-$\"\"'!\"\"Q(x=h/r*yFgbl-%&TIT LEG6#%*Obr|\\yzek~2G-%+AXESLABELSG6$Q\"xFgblQ!Fgbl-%%VIEWG6$;F+F(%(DEF AULTG" 1 2 0 1 10 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 0 "Curve \+ 1" "Curve 2" "Curve 3" "Curve 4" "Curve 5" "Curve 6" "Curve 7" }}}} {EXCHG {PARA 0 "" 0 "" {TEXT -1 60 "Nejprve u\236ijeme prvn\355 vztah, pro n\354j z prvn\355ho obr\341zku plat\355" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "f:=r/h*x;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\" fG*(%\"rG\"\"\"%\"hG!\"\"%\"xGF'" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 19 "Dosazen\355m dost\341v\341me" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 41 "2*Pi*Int(f*sqrt(1+(Diff(f,x))^2),x=0..h);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,$*(\"\"#\"\"\"%#PiGF&-%$IntG6$**%\"rGF&%\"h G!\"\"%\"xGF&,&F&F&*$)-%%DiffG6$*(F,F&F-F.F/F&F/F%F&F&#F&F%/F/;\"\"!F- F&F&" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 12 "V\375sledkem je" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 32 "assume(h>0);\nsimplify(value (%));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#*(%#PiG\"\"\"%\"rGF%,&*$)%#h| irG\"\"#F%F%*$)F&F+F%F%#F%F+" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 63 "N yn\355 u\236ijeme druh\375 ze vztah\371, pro n\354j z z druh\351ho obr \341zku plat\355" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "f:=h/r*y ;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"fG*(%#h|irG\"\"\"%\"rG!\"\"% \"yGF'" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 19 "Dosazen\355m dost\341v \341me" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 41 "2*Pi*Int(y*sqrt(1 +(Diff(f,y))^2),y=0..r);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,$*(\"\"# \"\"\"%#PiGF&-%$IntG6$*&%\"yGF&,&F&F&*$)-%%DiffG6$*(%#h|irGF&%\"rG!\" \"F,F&F,F%F&F&#F&F%/F,;\"\"!F5F&F&" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 12 "V\375sledkem je" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 36 "a ssume(h>0,r>0);\nsimplify(value(%));" }}{PARA 11 "" 1 "" {XPPMATH 20 " 6#*(%#PiG\"\"\"%#r|irGF%,&*$)F&\"\"#F%F%*$)%#h|irGF*F%F%#F%F*" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 0 "" }}}{SECT 1 {PARA 20 "" 0 "" {TEXT -1 9 "P\370\355k lad 2" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 40 "Spo\350t\354te obsah kulo v\351ho p\341su o polom\354ru " }{TEXT 310 1 "r" }{TEXT -1 9 " a v\375 \232ce " }{TEXT 309 1 "h" }{TEXT -1 33 ". Vznikne rotac\355 subgrafu f unkce " }{OLE 1 4658 1 "[xm]Br=WfoRrB:::wk;nyyI;G:;:j::>:B>N:F:nyyyyy] ::yyyyyy:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::fyyyyya:nYf::G:I:wAyA:::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::NDYmq^H;C:ELq^H_mvJ::::::::gj\\O?b@GeFwr;V:>jAZ:j:vCSmlJ::::::::::OJ;@jyyyy yy;jysy;Z:::::::^<>:fB]mtFFcmnvGWMJnC==nHE=;:::::JJN:yyyxI:;Z::::::j:> :EU:B:F:AlqfG[maNFO=;::::::::_J;Zy=J:B::::::f:;jn>:;:wyyN:;F;N;;j?J@j@>:[B::wA]:_J:V<^q=^;> :::::::s:?JQ@v^@:;St_:;J@nNkIt_j<@Z?BKaTMcTGZK^ZG _dZfbr_hlGF_J>@lQPnAMnQ@NbLYBxj]xoZHni @>YVKciDyDLcy]=D:<[:_xIHby?cnA\\IFbdve>we?_xYgB@nAlj:F:=b:?b:?B:?j:@j: V:=JklZDNZ>njLF:wyyAbr:>Z:Z@o< ;j`@Pt\\Pd`QrPPJPMQ::J Z?Z:Z@OlDJ:<:jysyAB:^::yayQ:>:FlMJlE:wH;F:MZ=vgP<:EJ:`:J:<:::::::>=?R:=J:NZ:>Z:vYxY:B::::::v:;JJPJ:>Z:j:vCJ:>:::: :::::J?<:yay=J:B::::::nYyA<::::::::::::jysy:>:<:::::::::::::::::::vYxI :;Z::::::::j:>:E:=b:yyyyqa:Gc;YJHvyyuy;B:UD: [Z:>rymNyyyyY:AK:Fc^;UTRZ_?:[L>>:oi:Z:f:F[: cJd@jtAJHB:qi:?sy>Z:JBA:;B:DJ::_cF?SE?j;]Q:HZVB:QR:@ZnJ?SEbVDJ<^f\\V nZ<\\:Vjbc:CjXfaZ<>f?^=;B:qQ: uI<:[^:B:DZJ:::JZsW;;;Z::UK<^:>x;VZ:Z:N`DZ:N:;JPlLsTZ=fZ:JDJY@JHjw;<:[ n:>:;b:<;VH::>RXQJJ::f?AJ>Z:NhrOh\\OhbOf[Wpb<> a;Na\\:B:_cfd;fc[_Hc\\_gdOGc;f Z;Z>[oB:arOBU:::c\\_WH:nG]r:fg\\wG@[=;>>>:C:E<=MC>;Y;Bw[j]BN_ALyDxZ:^x ?;ZJrJ@>YVKddJ;L:Zr?:::J:@j:Z<\\>:bVDJ<^F>:?E::bV>Z<\\:Vjb;u;NFL ZL:@@V;n>^;yayI:>:>;NY;B:<:JOV:Z:>::::WTJWTLB:: ::::::::::::::::::::::::::::::::::1:" }{TEXT -1 1 " " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 34 "restart:with(plots):with(student):" }} {PARA 7 "" 1 "" {TEXT -1 50 "Warning, the name changecoords has been r edefined\n" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "f:=sqrt(r^2-x ^2);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"fG*$,&*$)%\"rG\"\"#\"\"\"F +*$)%\"xGF*F+!\"\"#F+F*" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 47 "Po dos azen\355 do prvn\355ho vztahu po\350\355t\341me integr\341l" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 43 "i1:=2*Pi*Int(f*sqrt(1+diff(f ,x)^2),x=a..b);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#i1G,$*(\"\"#\"\" \"%#PiGF(-%$IntG6$*&,&*$)%\"rGF'F(F(*$)%\"xGF'F(!\"\"#F(F',&F(F(*&F.F5 F4F'F(F6/F4;%\"aG%\"bGF(F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "simplify(i1);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,$*(\"\"#\"\"\"%# PiGF&-%$IntG6$*&,&*$)%\"rGF%F&F&*$)%\"xGF%F&!\"\"#F&F%*&F/F%F,F3F4/F2; %\"aG%\"bGF&F&" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 28 "Vid\355me, \236 e integr\341l je roven" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "v 1:=2*Pi*r*(b-a);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#v1G,$**\"\"#\" \"\"%#PiGF(%\"rGF(,&%\"bGF(%\"aG!\"\"F(F(" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 38 "Syst\351m Maple plochu vyj\341d\370\355 n\341sledovn\354 " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "v2:=value(i1);" }{TEXT -1 0 "" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#v2G,$*(\"\"#\"\"\"%#PiGF( ,&*(*&%\"rGF',&*$)F-F'F(F(*$)%\"bGF'F(!\"\"F4#F(F'F.F5F3F(F(*(*&F-F',& F/F(*$)%\"aGF'F(F4F4F5F8F5F;F(F4F(F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{MARK "3 0" 0 } {VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }