{VERSION 3 0 "IBM INTEL NT" "3.0" } {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 Comment" 2 18 "" 0 1 0 0 0 0 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 "" 1 14 0 0 0 0 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 -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 "Maple Ou tput" 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 "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 "" 0 256 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 "" 0 257 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 0 "" }}{PARA 256 "" 0 "" {TEXT 256 44 "Demonstration of plotting quadratic surfaces" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 " " {TEXT -1 0 "" }}}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 13 "Ellipsoid \+ " }{XPPEDIT 18 0 "x^2/a^2+y^2/b^2+z^2/c^2=1" "6#/,(*&%\"xG\"\"#*$%\"aG \"\"#!\"\"\"\"\"*&%\"yG\"\"#*$%\"bG\"\"#F+F,*&%\"zG\"\"#*$%\"cG\"\"#F+ F,\"\"\"" }}{PARA 0 "" 0 "" {TEXT -1 27 "The parametrix equation is " }}{PARA 0 "" 0 "" {TEXT -1 8 " " }{XPPEDIT 18 0 "x=a*cos(s)*sin (t)" "6#/%\"xG*(%\"aG\"\"\"-%$cosG6#%\"sGF'-%$sinG6#%\"tGF'" }{TEXT -1 5 ", " }{XPPEDIT 18 0 "y=b*cos(s)*sin(t)" "6#/%\"yG*(%\"bG\"\"\" -%$cosG6#%\"sGF'-%$sinG6#%\"tGF'" }{TEXT -1 5 ", " }{XPPEDIT 18 0 " z=sin(s)" "6#/%\"zG-%$sinG6#%\"sG" }{TEXT -1 7 ", " }{XPPEDIT 18 0 "s=-Pi..Pi" "6#/%\"sG;,$%#PiG!\"\"F'" }{TEXT -1 5 ", " }{XPPEDIT 18 0 "t=0..2*Pi" "6#/%\"tG;\"\"!*&\"\"#\"\"\"%#PiGF)" }}{PARA 0 "" 0 " " {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 18 "a:=2; b:=1 ; c:=3; " }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"aG\"\"#" }}{PARA 11 " " 1 "" {XPPMATH 20 "6#>%\"bG\"\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6# >%\"cG\"\"$" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "x:=a*cos(s)* cos(t);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"xG,$*&-%$cosG6#%\"sG\" \"\"-F(6#%\"tGF+\"\"#" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "y: =b*cos(s)*sin(t);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"yG*&-%$cosG6# %\"sG\"\"\"-%$sinG6#%\"tGF*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "z:=c*sin(s);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"zG,$-%$sinG6#% \"sG\"\"$" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 64 "plot3d([x,y,z] ,s=-Pi..Pi, t=0..2*Pi, view=[-3..3,-3..3,-3..3] );" }}{PARA 13 "" 1 " " {GLPLOT3D 331 331 331 {PLOTDATA 3 "6$-%%MESHG6#W*^`r\":\":\"$C000000 0000000008000000000000000BD05D3C9CA64F450BFFEE8DD4748BF15BFD0907DC1930 68CBD05D3C9CA64F450BFFBB67AE8584CADBFDFFFFFFFFFFFF8BD05D3C9CA64F450BFF 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"6#/%\"yG*(%\"bG\"\"\"-%%sqrtG6#%\" sGF'-%$sinG6#%\"tGF'" }{TEXT -1 8 ", " }{XPPEDIT 18 0 "z=s" "6#/ %\"zG%\"sG" }{TEXT -1 10 ", " }{XPPEDIT 18 0 "s=0..infinity" " 6#/%\"sG;\"\"!%)infinityG" }{TEXT -1 6 ", " }{XPPEDIT 18 0 "t=0..2 *Pi" "6#/%\"tG;\"\"!*&\"\"#\"\"\"%#PiGF)" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 45 "x:=2*sqrt(t)*cos(s); y:=sqrt(t)*sin(s); z:=t;" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"xG,$*&-%%sqrtG6#%\"tG\"\"\"-%$cosG 6#%\"sG\"\"\"\"\"#" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"yG*&-%%sqrtG 6#%\"tG\"\"\"-%$sinG6#%\"sG\"\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#> %\"zG%\"tG" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 34 "plot3d([x,y,z ],s=0..2*Pi, t=0..3);" }}{PARA 13 "" 1 "" {GLPLOT3D 354 354 354 {PLOTDATA 3 "6#-%%MESHG6#W*^`r\":\":\"$0000000000000000000000000000000 000000000000000003FE6A09E667F3BCD00000000000000003FC00000000000003FF00 0000000000000000000000000003FD00000000000003FF3988E1409212E00000000000 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