{VERSION 5 0 "IBM INTEL NT" "5.0" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 0 0 0 255 1 0 0 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 "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 "R3 Font 0" -1 256 1 {CSTYLE "" -1 -1 " Courier" 1 11 128 0 128 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 "R3 Font 2" -1 257 1 {CSTYLE "" -1 -1 "Courier" 1 8 0 0 128 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 }} {SECT 0 {EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "" 0 " " {TEXT -1 1 " " }{MPLTEXT 1 0 38 "restart:\n f:=x->x^2;\n\n# f:=x- >3*x:\n" }}{PARA 0 "" 0 "" {TEXT -1 36 "Volumen bei Rotation um die x- Achse:" }{MPLTEXT 1 0 0 "" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"fGf*6 #%\"xG6\"6$%)operatorG%&arrowGF(*$)9$\"\"#\"\"\"F(F(F(" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 8 "Grenzen:" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 42 "a:=0; b:=2;\nVx:=Pi*int((f(x))^2,x=a..b);\n" }}{PARA 11 "" 1 " " {XPPMATH 20 "6#>%\"aG\"\"!" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"bG \"\"#" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#VxG,$*(\"#K\"\"\"\"\"&!\" \"%#PiGF(F(" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 36 "Volumen bei Rotati on um die y-Achse:" }{MPLTEXT 1 0 1 " " }}{PARA 0 "" 0 "" {TEXT -1 8 " Grenzen:" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 142 "f(a); f(b);\n g:=sol ve(f(x)=y,x);\n umkehrfkt:=unapply(g[1],y);\n # umkehrfkt:=unapply (g,y);\n\n Vy:=Pi*int( (umkehrfkt(y))^2,y=f(a)..f(b));\n" }}{PARA 11 " " 1 "" {XPPMATH 20 "6#\"\"!" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"\"%" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"gG6$*$%\"yG#\"\"\"\"\"#,$F&!\"\" " }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%*umkehrfktGf*6#%\"yG6\"6$%)opera torG%&arrowGF(*$9$#\"\"\"\"\"#F(F(F(" }}{PARA 11 "" 1 "" {XPPMATH 20 " 6#>%#VyG,$*&\"\")\"\"\"%#PiGF(F(" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 16 " 2. M\366glichkeit " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 61 " f1:=unapply(diff(f(x),x),x);\n Vy:=Pi*int(x^2*f1(x),x=a..b);\n" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%#f1Gf*6#%\"xG6\"6$%)operatorG%&arrow GF(,$*&\"\"#\"\"\"9$F/F/F(F(F(" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#V yG,$*&\"\")\"\"\"%#PiGF(F(" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 15 " Sc halenmethode" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 29 "Vy:=2*Pi*int(x*f(x) ,x=a..b);\n" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#VyG,$*&\"\")\"\"\"%# PiGF(F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}}}{MARK "4 0 0" 1 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }