{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 "2D Output" 2 20 "" 0 1 0 0 255 1 0 0 0 0 0 0 0 0 0 1 } {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 1" -1 3 1 {CSTYLE "" -1 -1 "Times" 1 18 0 0 0 1 2 1 2 2 2 2 1 1 1 1 }1 1 0 0 8 4 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 "Text Output" -1 6 1 {CSTYLE "" -1 -1 "Courier" 1 10 0 0 255 1 2 2 2 2 2 1 2 1 3 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 "Error" -1 8 1 {CSTYLE "" -1 -1 " Courier" 1 10 255 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 }} {SECT 0 {EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}}{SECT 0 {PARA 3 "" 0 " " {TEXT -1 21 "Speicher zur\374cksetzen" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "restart;" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 25 "Arbei ten mit dem Speicher" }}}{PARA 0 "" 0 "" {TEXT -1 103 "Den Buchstaben \+ A,B,C k\366nnen beliebige Werte zugeordnet werden. Ein Beispiel verdeu tlicht das Vorgehen:\n" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 6 ">A: =5;" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 125 "Die Zahl 5 wird dem Buchs taben zugeordnet mit := .\nM\366chte man ein Zwischenergebnis einem Sp eicher zuordnen, dann geht das so:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 7 ">B:=%;\n" }}}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 22 "Eing abe von Funktionen" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 39 "y=0,37x+2,53 gibt man in Maple so ein:\n" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "y:=0.37*x+2.53;" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 36 "Anstelle von Komma nimmt man Punkt.\n" }} }{SECT 0 {PARA 3 "" 0 "" {TEXT -1 27 "Wertetabelle einer Funktion" }}} {EXCHG {PARA 0 "" 0 "" {TEXT -1 283 "Zur Darstellung einer Wertetabell e muss man die Prozedur einmailg in Maple installieren. Entsprechend d er [http://augenbit.de/wiki/index.php?title=%2809_2%29_Prozeduren_zum_ bestimmen_von_Extrempunkten#2._Wertetabelle | Anleitung].\n\nAls n\344 chstes muss man die Prozedur mit dem Befehl \n" }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 20 "read \"Prozeduren.m\";" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 18 "aufgerufen we rden." }}{PARA 0 "" 0 "" {TEXT -1 36 "Die Wertetabelle wird mit dem Be fehl" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 26 "wertetabelle(y, x= \+ 0..10);" }}{PARA 6 "" 1 "" {TEXT -1 14 "+0 y(0.)" }}{PARA 6 "" 1 "" {TEXT -1 14 "+0.5 y(.5)" }}{PARA 6 "" 1 "" {TEXT -1 14 "+1 \+ y(1.0" }}{PARA 6 "" 1 "" {TEXT -1 14 "+1.5 y(1.5" }}{PARA 6 " " 1 "" {TEXT -1 14 "+2 y(2.0" }}{PARA 6 "" 1 "" {TEXT -1 14 "+2. 5 y(2.5" }}{PARA 6 "" 1 "" {TEXT -1 14 "+3 y(3.0" }}{PARA 6 "" 1 "" {TEXT -1 14 "+3.5 y(3.5" }}{PARA 6 "" 1 "" {TEXT -1 14 "+4 y(4.0" }}{PARA 6 "" 1 "" {TEXT -1 14 "+4.5 y(4.5" }}{PARA 6 "" 1 "" {TEXT -1 14 "+5 y(5.0" }}{PARA 6 "" 1 "" {TEXT -1 14 " +5.5 y(5.5" }}{PARA 6 "" 1 "" {TEXT -1 14 "+6 y(6.0" }} {PARA 6 "" 1 "" {TEXT -1 14 "+6.5 y(6.5" }}{PARA 6 "" 1 "" {TEXT -1 14 "+7 y(7.0" }}{PARA 6 "" 1 "" {TEXT -1 14 "+7.5 y(7.5" }}{PARA 6 "" 1 "" {TEXT -1 14 "+8 y(8.0" }}{PARA 6 "" 1 "" {TEXT -1 14 "+8.5 y(8.5" }}{PARA 6 "" 1 "" {TEXT -1 14 "+9 y (9.0" }}{PARA 6 "" 1 "" {TEXT -1 14 "+9.5 y(9.5" }}{PARA 6 "" 1 " " {TEXT -1 14 "+10 y(10." }}{PARA 11 "" 1 "" {XPPMATH 20 "6#7#-% \"yG6#%\"xG" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 62 "aufgerufen. Es wer den alle Werte zwischen 0 und 10 ausgegeben." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" } }}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 24 "Schaubild einer Funktion" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "plot(y,x=0..10);" }}{PARA 7 "" 1 "" {TEXT -1 153 "Warning, unable to evaluate the function to nume ric values in the region; see the plotting command's help page to ensu re the calling sequence is correct\n" }}{PARA 8 "" 1 "" {TEXT -1 26 "P lotting error, empty plot" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 61 "Die \+ Funktion f wird im Bereich zwischen 1 und 10 dargestellt." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 2 " \n" }}}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 21 "Nullstellen bestimmen" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "read \"Prozeduren.m\";" } {TEXT -1 40 "\nEinbinden, wenn noch nicht eingebunden." }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 59 "1. Muss die Funktion die zu bestimmen ist definiert werden." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "f:=x- >3*x+2;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"fGf*6#%\"xG6\"6$%)opera torG%&arrowGF(,&*&\"\"$\"\"\"9$F/F/\"\"#F/F(F(F(" }}}{EXCHG {PARA 0 " " 0 "" {TEXT -1 126 "2. Mit diesem Befehl werden die Nullstellen der P rozedur f ermittelt. Diese werden in der Variablen Nullstellen abgespe ichert." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "nullstellen(f); " }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,&*&\"\"$\"\"\"%\"xGF&F&\"\"#F&" } }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 48 "3. Der Inhalt der Variablen wird aufgerufen mit:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "Nullste llen;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#7$,&*&\"\"$\"\"\"%\"xGF'F'\" \"#F'$!$n'!\"$" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{PARA 4 "" 0 "" {TEXT -1 0 "" } }}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 23 "Schnittpunkte bestimmen" }} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "read \"Prozeduren.m\";" }}} {EXCHG {PARA 0 "" 0 "" {TEXT -1 39 "Einbinden, wenn noch nicht eingebu nden." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 90 "1. Die Funktionen f (x) und g(x) f\374r die der Schnittpu nkt bestimmt werden soll definieren." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "g:= x -> -x^2+5;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#> %\"gGf*6#%\"xG6\"6$%)operatorG%&arrowGF(,&*$)9$\"\"#\"\"\"!\"\"\"\"&F1 F(F(F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "f:= x -> -1/4*x^2 +2;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"fGf*6#%\"xG6\"6$%)operatorG %&arrowGF(,&*&#\"\"\"\"\"%F/*$)9$\"\"#F/F/!\"\"F4F/F(F(F(" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 55 "2. Mit diesem Befehl werden die Schnittpu nkte bestimmt:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "schnittpu nkte(f,g);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#7%,&*&\"\"%!\"\"%\"xG\" \"#F'F)\"\"\"7$$!$+#!\"#$\"$+\"F.7$$\"$+#F.F/" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 78 "Die erste Zahl in einer eckigen Klammer ist die x-Wert , die Zweite der y-Wert." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 " " }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 72 "3. Beide Funktionen lassen si ch wie folgt in einem Schaubild darstellen." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 26 "plot(\{f(x),g(x)\},x=-4..4);" }}{PARA 13 "" 1 "" {GLPLOT2D 375 375 375 {PLOTDATA 2 "6&-%'CURVESG6$7S7$$!\"%\"\"!$!\"#F* 7$$!3ommmmFiDQ!#<$!3A!e4#)QZ)e;F07$$!35LLLo!)*Qn$F0$!3'*[e7a7$$!3!omm;)3DoEF0$\"3DPE@\"3$4,AFB7$$!3?+++:v2*\\# F0$\"3ofN0N*GlQ%FB7$$!3BLLL8>1DBF0$\"3O\\o\"zu<_['FB7$$!3kmmmw))yr@F0$ \"3sXt'zoK$3#)FB7$$!3;+++S(R#**>F0$\"3$H=,b6g2+\"F07$$!30++++@)f#=F0$ \"3e(*)>EMZk;\"F07$$!3-+++gi,f;F0$\"37.REii\">J\"F07$$!3qmmm\"G&R2:F0$ \"3anA?m)R>V\"F07$$!3XLLLtK5F8F0$\"3#z)pZD#*pf:F07$$!3eLLL$HsV<\"F0$\" 3o^F;HC@b;F07$$!3+-++]&)4n**FB$\"3upkBmBk^F07$$!3NKLLL3z6LFB$\"3?B1p.,es>F07$$!3sLLL$)[`PF07$$!3gSnmmmr[R!#?$\"3mr\"4>5'****>F07$$\"3yELL$=2Vs\"FB$\"3y iP%=\"pc#*>F07$$\"3)e*****\\`pfKFB$\"3'4(HclfVt>F07$$\"36HLLLm&z\"\\FB $\"3zJ;QcU`R>F07$$\"3>(******z-6j'FB$\"3]!eR\"*=r+*=F07$$\"3q\"******4 #32$)FB$\"3G\\'fu'4[F=F07$$\"3r$*****\\#y'G**FB$\"3kU*>0P`Nv\"F07$$\"3 G******H%=H<\"F0$\"3I%eT\"*elgl\"F07$$\"35mmm1>qM8F0$\"3]\"4&30Fka:F07 $$\"3%)*******HSu]\"F0$\"3gxR[Nf!>V\"F07$$\"3'HLL$ep'Rm\"F0$\"3,HPR!\\ .yI\"F07$$\"3')******R>4N=F0$\"3=fn$HR4\"e6F07$$\"3#emm;@2h*>F0$\"3+#3 $))***))Q+\"F07$$\"3]*****\\c9W;#F0$\"3Sd'Rq(RF)G)FB7$$\"3Lmmmmd'*GBF0 $\"3umoBWhzRkFB7$$\"3j*****\\iN7]#F0$\"3_`rdq3bfVFB7$$\"3aLLLt>:nEF0$ \"3.j-'y(3v:AFB7$$\"35LLL.a#o$GF0$!3A4K$\\Af%*=\"FR7$$\"3ammm^Q40IF0$! 3U/?JVEZwDFB7$$\"3y******z]rfJF0$!3%4^[pY)\\f\\FB7$$\"3gmmmc%GpL$F0$!3 &>XzA\")Gx$yFB7$$\"3/LLL8-V&\\$F0$!3ax32%43X0\"F07$$\"3=+++XhUkOF0$!3# 3*)RIu/qN\"F07$$\"3=+++:o$!3!*G9bP^$*)4'F07$FD$!3O)*3po'[ \"*)\\F07$FI$!3b&)zlpcW7SF07$FN$!3[Y+l0a1aIF07$FT$!35X\\^nFc>@F07$FY$! 39w&yfU)QX7F07$Fhn$!3g-EL3!H\"fSFB7$F]o$\"3)GQp=vIL$GFB7$Fbo$\"3uJZ+i/ /.5F07$Fgo$\"3')*ez/P*yl;F07$F\\p$\"3[7c0\\]mZAF07$Fap$\"3hq!4[Yfxs#F0 7$Ffp$\"3n^z!>!pzQKF07$F[q$\"3v15l;(\\3i$F07$F`q$\"3'*ye%\\Ypl+%F07$Fe q$\"3Y'RSqAE`H%F07$Fjq$\"3e*HRH\"RBbXF07$F_r$\"3iE?VJ[QZZF07$Fdr$\"3y# \\iZT?.*[F07$Fir$\"3g)*>HD(4)p\\F07$F^s$\"3i'oOwS%)***\\F07$Fds$\"37^] PZwEq\\F07$Fis$\"3%Q)=DiQu$*[F07$F^t$\"3=Fl_Dq8eZF07$Fct$\"3+A$elv%GgX F07$Fht$\"35(fQ)pQ#*4VF07$F]u$\"3eq(z?[8U,%F07$Fbu$\"3yOjccBECOF07$Fgu $\"3,m.M?3d=KF07$F\\v$\"3S5f$>uBws#F07$Fav$\"3.;\\dhR@JAF07$Ffv$\"3uOq urvVK;F07$F[w$\"3XGB`**fb:5F07$F`w$\"3gH'e\"3f4`JFB7$Few$!3,LD0Ba\"3C% FB7$Fjw$!3gQ\"p!H'R'*F07$FgzFe[l-Fjz6&F \\[lF`[lF][lF`[l-%+AXESLABELSG6$Q\"x6\"Q!F[el-%%VIEWG6$;F(Fgz%(DEFAULT G" 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 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}}{MARK "25 10 0 0" 72 } {VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }