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{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 \+
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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$$\"3=rfe)=K:y(F6$\"3[]1OJeU<HFA7$$\"3pI4)eta_@\"F
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>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(
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