{VERSION 2 3 "IBM INTEL NT" "2.3" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 0 0 }{CSTYLE "2D Input" 2 19 "" 0 1 255 0 0 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "2D Output" 2 20 "" 0 1 0 0 255 1 0 0 0 0 0 0 0 0 0 }{CSTYLE " " -1 256 "" 0 1 0 0 0 0 2 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 257 "" 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 258 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 259 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 260 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 261 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 262 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 263 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 264 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 265 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 266 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 267 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 268 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 269 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 270 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 271 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{PSTYLE "Norm al" -1 0 1 {CSTYLE "" -1 -1 "" 0 1 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 "Text Output" -1 2 1 {CSTYLE "" -1 -1 "Courier" 1 10 0 0 255 1 0 0 0 0 0 1 3 0 0 }1 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 }1 0 0 0 6 6 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 -1 4 4 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 -1 0 0 0 0 0 0 0 0 -1 0 }{PSTYLE " " 2 6 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 2 0 0 }0 0 0 -1 -1 -1 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 }3 3 0 -1 -1 -1 0 0 0 0 0 0 -1 0 } {PSTYLE "" 11 12 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 } 1 0 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 }3 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Heading 4" 5 20 1 {CSTYLE "" -1 -1 "" 1 10 0 0 0 0 1 0 0 0 0 0 0 0 0 }0 0 0 -1 0 0 0 0 0 0 0 0 -1 0 }{PSTYLE "" 3 256 1 {CSTYLE "" -1 -1 "" 0 1 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 }{PSTYLE "" 20 257 1 {CSTYLE "" -1 -1 "" 0 1 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 {EXCHG {PARA 256 "" 0 "" {TEXT -1 38 "GK-Computeralgebra: Klas senarbeit Nr.1" }}{PARA 257 "" 0 "" {TEXT 256 13 "Bg / 10.11.98" }} {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT 264 18 "Wichtige Hinweise:" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 67 "Bearbeiten Sie die Aufgaben in \+ einem MAPLE-Worksheet mit dem Namen " }{TEXT 258 7 "KA1.MWS" }{TEXT -1 2 ". " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 63 "Speichern Sie Ihre Bearbeitungen zwischendurch ab (- besonders " } {TEXT 257 3 "vor" }{TEXT -1 83 " der Ausf\374hrung fragw\374rdiger Bef ehle, und stets nach Beendigung einer Teilaufgabe)!" }}{PARA 0 "" 0 " " {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 266 "Ihr Worksheet soll ein en Hyperlink auf die von Ihnen zu erstellende Datei AUFGABE4.MWS entha lten. In dieser Datei sollen Sie die Aufgabe 4 der Klassenarbeit bearb eiten. Sollte Ihnen diese Verbindung nicht gelingen, dann l\366sen Sie Aufgabe 4 auch in der Datei KA1.MWS." }}{PARA 0 "" 0 "" {TEXT -1 0 " " }}{PARA 0 "" 0 "" {TEXT -1 177 "F\374r jede Aufgabe soll eine eigene Sektion benutzt werden. Die L\366sungswege sollen im Worksheet nachvo llziehbar dargestellt sein und durch die Anwendung von Maple gewonnen \+ werden." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 85 "Nutzen Sie den Textmodus, um die gestellten Fragen klar und eindeu tig zu beantworten!" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 " " {TEXT 265 8 "Achtung:" }}{PARA 0 "" 0 "" {TEXT -1 131 "Einige Antwor ten sollen auf das L\366sungsblatt \374bertragen werden! Die entsprech enden Hinweise sind in der Aufgabenstellung enthalten." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 12 "Viel Erfolg!" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 " " 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 " " {TEXT 259 10 "Aufgabe 1:" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 85 "a) Geben Sie eine Maple-Befehlsfolge an, mit der \+ es m\366glich ist, die Funktionenschar " }{XPPEDIT 19 1 "f(x)=x^3+t*x+ 4" "/-%\"fG6#%\"xG,(*$F&\"\"$\"\"\"*&%\"tGF*F&F*F*\"\"%F*" }{TEXT -1 25 " im Intervall [-3;4] f\374r " }{XPPEDIT 19 1 "-3<=t " "1,$\"\"$! \"\"%\"tG" }{TEXT -1 5 " und " }{XPPEDIT 19 1 "t<=2" "1%\"tG\"\"#" } {TEXT -1 42 " dynamisch (als Animation!) darzustellen." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 165 "b) Entnehmen Sie de r Animation, in welchem Intervall die Nullstellen der Funktionenschar \+ f\374r die in Teil a) erlaubten Werte von t liegen. \334bertragen Sie \+ Ihre L\366sung " }{TEXT 267 4 "hier" }{TEXT -1 23 " auf das Aufgabenbl att:" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 81 " \+ L\366sung (von 1b): __________________________________________________ _____________" }}{PARA 0 "" 0 "" {TEXT -1 28 " \+ " }}}{SECT 0 {PARA 4 "" 0 "" {TEXT -1 7 "L\366sung:" }}{PARA 0 "" 0 "" {TEXT -1 2 "a)" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "f:= x ->x^3+t*x+4;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"fG:6#%\"xG6\"6$%)o peratorG%&arrowGF(,(*$9$\"\"$\"\"\"*&%\"tGF0F.F0F0\"\"%F0F(F(" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "with(plots):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 30 "animate(f(x),x=-3..4,t=-3..2);" }} {PARA 13 "" 1 "" {INLPLOT "6%-%(ANIMATEG627#-%'CURVESG6$7S7$$!\"$\"\"! 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FR7$F_x$\"1tZk30e+?FR7$Fdx$\"1pNo\"eb#p>FR7$Fix$\"1=8)z(fIE>FR7$F^y$\" 1W>5(H'Go=FR7$Fcy$\"1Bu+f:y*z\"FR7$Fhy$\"1,cZ>R\"pr\"FR7$F]z$\"1>>&3&y $>i\"FR7$Fbz$\"1LY(zWJM_\"FR7$Fgz$\"1\\[R\\2I(R\"FR7$F\\[l$\"14iLv`^s7 FR7$Fa[l$\"1*49+M:q7\"FR7$Ff[l$\"1A?I=3;d(*F17$F[\\l$\"1'************* zF1F_\\l-%+AXESLABELSG6$%\"xG%!G-%%VIEWG6$;F(F[\\l%(DEFAULTG" 2 250 250 250 2 0 1 0 2 9 0 4 2 1.000000 45.000000 45.000000 10030 10061 10056 10074 0 0 0 20030 0 12020 0 0 0 0 0 0 0 1 1 0 0 0 0 6416 0 0 0 0 0 0 }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 2 "d)" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 44 "teil1:=eval f(int((f(x)-g(x),x=L[1]..L[2])));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#> %&teil1G$\"+d))*\\5\"!\")" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 44 "teil2:=evalf(int((g(x)-f(x),x=L[2]..L[3])));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%&teil2G$\"*V]7+$!\")" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "teil1+teil2;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"++ R709!\")" }}}}{PARA 3 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT 261 10 "Aufgabe 3:" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 69 "a) Durch welche 15stellige Primzahl ist 11111222223333344 444 teilbar?" }}{PARA 0 "" 0 "" {TEXT -1 18 "b) Geben Sie " } {XPPEDIT 19 1 "3x^5-5x^4-27x^3+45x^2-1200x+2000" ",.*&\"\"$\"\"\"*$%\" xG\"\"&F%F%*&F(F%*$F'\"\"%F%!\"\"*&\"#FF%*$F'F$F%F,*&\"#XF%*$F'\"\"#F% F%*&\"%+7F%F'F%F,\"%+?F%" }{TEXT -1 71 " an als Produkt aus einem Li nearfaktor und einem Term 4.Grades von x." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 30 "c) Verwandeln Sie die Potenz " } {XPPEDIT 19 1 "(2x-3)^100" "*$,&*&\"\"#\"\"\"%\"xGF&F&\"\"$!\"\"\"$+\" " }{TEXT -1 50 " in eine Summe und geben Sie den Koeffizient von " } {XPPEDIT 19 1 "x^17" "*$%\"xG\"#<" }{TEXT -1 4 " an." }}{PARA 0 "" 0 " " {TEXT -1 0 "" }}{SECT 0 {PARA 4 "" 0 "" {TEXT -1 7 "L\366sung:" }} {PARA 0 "" 0 "" {TEXT -1 2 "a)" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 30 "ifactor(11111222223333344444);" }}{PARA 11 "" 1 "" {XPPMATH 20 " 6#**-%!G6#\"\"#F'-F%6#\"#T\"\"\"-F%6#\"$r#F+-F%6#\"0,]2+]+]#F+" }}} {EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 38 "Di e gesuchte Zahl ist 250005000075001." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 2 "b)" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 46 "factor(3*x^5-5*x^4-27*x^3+45*x^2-1200*x+2000);" }} {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#**,&% \"xG\"\"\"!\"&F&F&,&F%F&\"\"&F&F&,&F%\"\"$F'F&F&,&*$F%\"\"#F&\"#;F&F& " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 34 "z:=expand((x+5)*(3*x-5) *(x^2+16));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"zG,,*$%\"xG\"\"%\" \"$*$F'\"\"#\"#B*$F'F)\"#5F'\"$g\"!$+%\"\"\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "(x-5)*z;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#*&,&% \"xG\"\"\"!\"&F&F&,,*$F%\"\"%\"\"$*$F%\"\"#\"#B*$F%F+\"#5F%\"$g\"!$+%F &F&" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 2 "c)" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 29 "a:=sort(expand((2*x-3)^100)):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "op(84,a);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,$*$%\"xG\"#))[(3,%*)4\\@gl4\\WME\"p6*[\\*oC#3B+'yM" }}}} {EXCHG {PARA 11 "" 1 "" {TEXT -1 0 "" }}}{PARA 0 "" 0 "" {TEXT -1 0 " " }}{PARA 0 "" 0 "" {TEXT 262 10 "Aufgabe 4:" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 41 "a) Bestimmen Sie die L \366sungsmenge von " }{XPPEDIT 19 1 "abs(x^2-10x+20)=4" "/-%$absG6# ,(*$%\"xG\"\"#\"\"\"*&\"#5F*F(F*!\"\"\"#?F*\"\"%" }{TEXT -1 62 " . und \374bertragen Sie Ihr Ergebnis hier auf das Aufgabenblatt:" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 42 "L\366sung (von \+ 4a): _________________________" }}{PARA 0 "" 0 "" {TEXT -1 45 "b) Best immen Sie die rationalen L\366sungen von " }{XPPEDIT 19 1 "12x^3-20x^2 +3x-5=0" "/,**&\"#7\"\"\"*$%\"xG\"\"$F&F&*&\"#?F&*$F(\"\"#F&!\"\"*&F)F &F(F&F&\"\"&F.\"\"!" }{TEXT -1 61 " und \374bertragen Sie Ihr Ergebni s hier auf das Aufgabenblatt:" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }} {PARA 0 "" 0 "" {TEXT -1 42 "L\366sung (von 4b): _____________________ ____" }}{PARA 0 "" 0 "" {TEXT -1 94 "c) Veranlassen Sie Maple eine all gemeine L\366sungsformel f\374r quadratische Gleichungen anzugeben." } }{PARA 0 "" 0 "" {TEXT -1 138 "d) Versuchen sie allgemeine L\366sungsf ormeln f\374r Gleichungen 3. und 4.Grades zu finden. Interpretieren Si e Ihre Ergebnisse (im Worksheet) !" }}{PARA 0 "" 0 "" {TEXT -1 0 "" } }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }} {SECT 0 {PARA 4 "" 0 "" {TEXT -1 7 "L\366sung:" }}{PARA 0 "" 0 "" {TEXT -1 2 "a)" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 28 "solve(abs(x^2-10*x+20)=4,x);" }}{PARA 11 "" 1 " " {XPPMATH 20 "6&\"\"#\"\")\"\"%\"\"'" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 2 "b)" }}}{EXCHG {PARA 12 "" 1 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 27 "solve(12*x^3+3*x-20*x^2-5);" }} {PARA 11 "" 1 "" {XPPMATH 20 "6%#\"\"&\"\"$,$%\"IG#\"\"\"\"\"#,$F'#!\" \"F*" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 28 "5/3 ist die gesuchte L \366sung." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 2 "c)" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "restart;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 18 "g2:=a*x^2+b*x+c=0;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#g2G/,(*&%\"a G\"\"\"%\"xG\"\"#F)*&%\"bGF)F*F)F)%\"cGF)\"\"!" }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 12 "solve(g2,x);" }}{PARA 11 "" 1 "" {XPPMATH 20 " 6$,$*&%\"aG!\"\",&%\"bGF&*$,&*$F(\"\"#\"\"\"*&F%F-%\"cGF-!\"%#F-F,F-F- F1,$*&F%F&,&F(F&F)F&F-F1" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }} {PARA 0 "" 0 "" {TEXT -1 2 "d)" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "g3:=a*x^3+b*x^2+c*x+d=0;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>% #g3G/,**&%\"aG\"\"\"%\"xG\"\"$F)*&%\"bGF)F*\"\"#F)*&%\"cGF)F*F)F)%\"dG F)\"\"!" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "solve(g3,x);" }} {PARA 12 "" 1 "" {XPPMATH 20 "6%,(*&%\"aG!\"\",**(%\"bG\"\"\"%\"cGF*F% F*\"#O*&%\"dGF*F%\"\"#!$3\"*$F)\"\"$!\")*(F2#F*F/,,*&F%F*F+F2\"\"%*&F+ F/F)F/F&**F)F*F+F*F%F*F.F*!#=*&F.F/F%F/\"#F*&F.F*F)F2F8F5F%F*\"#7#F*F2 #F*\"\"'*(,&*&F%F*F+F*!\"$*$F)F/F*F*F%F&F'#F&F2#F/F2*&F)F*F%F&FH,*F$#F &F?FCFHFJFH*(%\"IGF*F2F5,&F$FAFC#!\"#F2F*F5,*F$FLFCFHFJFHFM#F&F/" }}} {EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 58 "MA PLE gibt eine L\366sungsformel mit einer Hilfsvariablen an!" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 30 "g4:=a*x^4+b*x^3+c*x^2+d*x+e=0;" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%#g4G/,,*&%\"aG\"\"\"%\"xG\"\"%F)*&% \"bGF)F*\"\"$F)*&%\"cGF)F*\"\"#F)*&%\"dGF)F*F)F)%\"eGF)\"\"!" }}} {EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "solve(g4,x);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#-%'Ro otOfG6#,,*&%\"aG\"\"\"%#_ZG\"\"%F)*&%\"bGF)F*\"\"$F)*&%\"cGF)F*\"\"#F) *&%\"dGF)F*F)F)%\"eGF)" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 47 "Sieht so aus, als w\374rde er e s nicht schaffen..." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "allvalues(\");" }}{PARA 12 "" 1 "" {XPPMATH 20 "6&,(*&%\"bG\"\"\"%\"aG!\"\"#F(\"\"%*(\"\"$#F&\"\"#F'F(*&, .*&F%F.,.*(%\"cGF&F%F&%\"dGF&!#O*(%\"eGF&F4F&F'F&!$)G*&F5F.F'F&\"$3\"* &F8F&F%F.F;*$F4F,\"\")*$,B*(F8F.F'F.F4F.\"$%Q*(F%F.F5F.F4F.!\"$*&F5F*F 'F.\"#\")**F%F.F5F.F8F&F'F&\"#=**F%F&F5F&F8F.F'F.\"$w&*,F%F&F5F&F8F&F' F&F4F.\"$S#**F8F.F4F&F'F&F%F.!$K%**F4F&F%F&F5F,F'F&!#a**F4F&F%F,F5F&F8 F&FP*(F5F.F'F&F4F,\"#7*(F8F&F%F.F4F,FS*(F8F&F'F&F4F*!#[*&F%F,F5F,FS*&F 8F,F'F,!$o(*&F8F.F%F*FF**F8F&F4F&F'F.F5F.FNF-FS#F&F,F,*(F4F&F'F&F2Ffn! \")*&F2#F.F,F'F&F.*(F5F&F%F&F'F&!#C*&F8F&F'F.\"#'**&F'F&F4F.F>F&F2#F(F ,F-#F&FS*&F'F(,$*(,4*(F%F.F2FfnF/F-!#=**F4F&F'F&F2FfnF/F-\"#[*(F/F-F2F jnF'F&\"\"'**F/F-F5F&F%F&F'F&!#s*(F/F-F8F&F'F.\"$)G*(F/F-F'F&F4F.\"#C* *F,F-F2FfnF5F&F'F.\"$W\"*(F,F-F2FfnF%F,FH*,F,F-F2FfnF%F&F4F&F'F&F]pF&F 2F`oF/#F(F.F(F-Fao,(F$F)F+FaoFbo#F(FS,(F$F)F+Fhp*(F[pF-F'F(*(,4FfoF,Fh oFhnFjoF(F\\pFSF^pFVF`p!\"%FbpFapFdpF,Fep!#7F&F2F`oF/FfpF-Fao,(F$F)F+F hpFjpFhp" }}}}{PARA 0 "" 0 "" {TEXT -1 130 "Die Reaktion von Maple zei gt: Es gibt eine geschlossene L\366sungsformel (mit 2 Hilfsvariablen: \+ %1 und %2) und Maple verf\374gt dar\374ber!" }}{PARA 0 "" 0 "" {TEXT -1 87 "Im allgemeinen gibt es 4 L\366sungen, die durch 3 (kaum erkennb are!) Kommas getrennt sind!" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT 263 10 "Aufgabe 5:" }} {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 120 "a) Das S chaubild einer ganzrationalen Funktion 3.Grades geht durch die Punkte \+ A(-2/26), B(-1/17), C(1/-13) und D(3/141)." }}{PARA 0 "" 0 "" {TEXT -1 62 "Bestimmen Sie diese Funktion. und \374bertragen Sie Ihr Ergebni s " }{TEXT 268 4 "hier" }{TEXT -1 23 " auf das Aufgabenblatt:" }} {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 42 "L\366sung (von 5a): _________________________" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 103 "b) Erzeugen Sie ein Schaubild dieser F unktion ohne Bereichsangabe. Geben Sie auf Grund des Schaubildes " } {TEXT 269 4 "hier" }{TEXT -1 54 " an, ob die untersuchte Funktion Extr emwerte besitzt. " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 83 "Antwort (von 5b): ______________________________________ __________________________" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 79 "_________________________________________________ ______________________________" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }} {PARA 0 "" 0 "" {TEXT -1 60 "\334berpr\374fen Sie Ihr Ergebnis und \+ \374bertragen Sie Ihr Ergebnis " }{TEXT 270 5 "hier " }{TEXT -1 22 "au f das Aufgabenblatt:" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 " " {TEXT -1 85 "Ergebnis der \334berpr\374fung: _______________________ ____________________________________" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 79 "_______________________________________ ________________________________________" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" } }{PARA 0 "" 0 "" {TEXT -1 0 "" }}{SECT 0 {PARA 4 "" 0 "" {TEXT -1 7 "L \366sung:" }}{PARA 0 "" 0 "" {TEXT 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