{VERSION 5 0 "IBM INTEL NT" "5.0" } {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 "2D Comment" 2 18 "" 0 1 0 0 0 0 0 0 0 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 2 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 0 0 0 0 0 0 0 0 0 }{PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Heading 1" 0 3 1 {CSTYLE "" -1 -1 "" 1 18 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }1 0 0 0 8 4 0 0 0 0 0 0 -1 0 }{PSTYLE "Heading 2" 3 4 1 {CSTYLE "" -1 -1 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }0 0 0 -1 8 2 0 0 0 0 0 0 -1 0 } {PSTYLE "Heading 3" 4 5 1 {CSTYLE "" -1 -1 "" 1 12 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }0 0 0 -1 0 0 0 0 0 0 0 0 -1 0 }{PSTYLE "Maple Output" 0 11 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }3 3 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Maple Plot" 0 13 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }3 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }} {SECT 0 {PARA 5 "" 0 "" {TEXT 256 10 "P\370\355klad 7." }}{PARA 0 "" 0 "" {TEXT -1 87 "Vypo\350teme obsah rovinn\351ho obrazce omezen\351ho k\370ivkou vyj\341d\370en\351 parametrick\375mo rovnicemi " }{TEXT 257 15 "x = a(t-sin(t))" }{TEXT -1 2 ", " }{TEXT 258 15 "y = a(1-cos(t ))" }{TEXT -1 9 ", t le\236\355 " }{XPPEDIT 18 0 "<0,2*Pi>;" "6#-%7rta ble/ConstructColumnG6$\"\"!6#*&\"\"#\"\"\"%#PiGF*" }{TEXT -1 6 ", a>0. " }}{PARA 0 "" 0 "" {TEXT 259 7 "\330e\232en\355:" }}{PARA 0 "" 0 "" {TEXT -1 83 "Obsah rovinn\351ho obrazce omezen\351ho obloukem \350\341 ry vyj\341d\370en\351 parametrick\375mi rovnicemi " }{XPPEDIT 18 0 "x \+ = phi(t),y = psi(t);" "6$/%\"xG-%$phiG6#%\"tG/%\"yG-%$psiG6#F(" } {TEXT -1 22 " s mezemi parametru " }{XPPEDIT 18 0 "t[1],t[2];" "6$&% \"tG6#\"\"\"&F$6#\"\"#" }{TEXT -1 3 " (" }{XPPEDIT 18 0 "t[1] < t[2]; " "6#2&%\"tG6#\"\"\"&F%6#\"\"#" }{TEXT -1 22 ") je vyj\341d\370en vzt ahem" }}{PARA 0 "" 0 "" {TEXT -1 99 " \+ " } {XPPEDIT 18 0 "S = Int(psi(t)*abs(diff(phi(t),t)),t = t[1] .. t[2]);" "6#/%\"SG-%$IntG6$*&-%$psiG6#%\"tG\"\"\"-%$absG6#-%%diffG6$-%$phiG6#F, F,F-/F,;&F,6#F-&F,6#\"\"#" }}{PARA 0 "" 0 "" {TEXT -1 23 "Nakresl\355m e danou funkci" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "with(plots ):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 89 "p1:=plot([t-sin(t), 1 -cos(t), t=0..2*Pi], scaling=constrained, thickness=3, color=black):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 88 "p2:=plot([t-sin(t), 1-cos (t), t=0..2*Pi], scaling=constrained, color=gray, filled=true):" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "display(\{p1,p2\});" }} {PARA 13 "" 1 "" {GLPLOT2D 400 300 300 {PLOTDATA 2 "6'-%'CURVESG6%7S7$ $\"\"!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$$\"3]e/y%)H\\tYF6$\"3eW\\7nzu&4#FA7$$\"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$$\"3>&p6Ev 5Du)FA$\"3[:d.:#=YE\"Fdo7$$\"3/d\"GX^+;.\"Fdo$\"3%zV1J*3Jx8Fdo7$$\"3:( HTIn>dB\"Fdo$\"3u\\AOF:B/:Fdo7$$\"3^+4r2)>AU\"Fdo$\"3O1cjZ*[Rg\"Fdo7$$ \"37$*QIe8]`;Fdo$\"3]CknM;$*3b5msp=Fdo$\"3Ie_b?/U!z\"Fdo 7$$\"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$$\"3#\\*)H\"4E.7MFdo$\"3O 0B(=!Q%3*>Fdo7$$\"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=pK4dFdo$\"3!zOHMQ dI+\"Fdo7$$\"3$o77H1%>LeFdo$\"3spxOYnF7()FA7$$\"3(z@TH0mv$fFdo$\"3ungH a'e\\W(FA7$$\"35XGdRicHgFdo$\"3C:@W9;?khFA7$$\"3Z/qowO?-hFdo$\"3k(Q-RU *p'*\\FA7$$\"31UI8X3JhhFdo$\"3!3v60g\\1*QFA7$$\"3H)*HI_+11iFdo$\"3#fRK Nh*p+HFA7$$\"3]'=)=I4JOiFdo$\"3]S\"yig@)*4#FA7$$\"35r[&G$G'*fiFdo$\"32 g)*y$[icK\"FA7$$\"3/L^'=)R*GF'Fdo$\"3-s;%yY!**\\xF67$$\"3+\"*=`-Y9!G'F do$\"3OR8x286`MF67$$\"3]w>MG;w#G'Fdo$\"3Hz?W.kW/$*F07$$\"3C'ezrI&=$G'F doF(-%'COLOURG6&%$RGBGF)F)F)-%*THICKNESSG6#\"\"$-%)POLYGONSG6U7&7$F(F) F'F*7$F+F)7&Fd[lF*F17$F2F)7&Ff[lF1F77$F8F)7&Fh[lF7F<7$F=F)7&Fj[lF " 0 "" {MPLTEXT 1 0 61 "Int(a*(1-cos(t))*Diff(a*(t-sin(t)),t), t=0..2*Pi):%=v alue(%);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/-%$IntG6$*(%\"aG\"\"\",&F )F)-%$cosG6#%\"tG!\"\"F)-%%DiffG6$*&F(F),&F.F)-%$sinGF-F/F)F.F)/F.;\" \"!,$%#PiG\"\"#,$*&F;F))F(F " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}} {MARK "0 0" 0 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }