{VERSION 5 0 "Windows Vista" "5.0" } {USTYLETAB {PSTYLE "Ordered List 1" -1 200 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 0 0 1 }1 1 0 0 3 3 2 0 2 0 2 2 -1 1 } {PSTYLE "Ordered List 2" -1 201 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 0 0 1 }1 1 0 0 3 3 2 36 2 0 2 2 -1 1 }{PSTYLE "Ordered List 3" -1 202 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 0 0 1 }1 1 0 0 3 3 2 72 2 0 2 2 -1 1 }{PSTYLE "Ordered List 4" -1 203 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 0 0 1 }1 1 0 0 3 3 2 108 2 0 2 2 -1 1 }{PSTYLE "Ordered List 5" -1 204 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 0 0 1 }1 1 0 0 3 3 2 144 2 0 2 2 -1 1 }{PSTYLE "Author" -1 19 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 0 0 1 }3 1 0 0 8 8 2 0 2 0 2 2 -1 1 }{PSTYLE "Annotatio n Title" -1 205 1 {CSTYLE "" -1 -1 "Times" 1 18 0 0 0 1 2 1 2 2 2 2 1 0 0 1 }3 1 0 0 12 12 2 0 2 0 2 2 -1 1 }{PSTYLE "Warning" -1 7 1 {CSTYLE "" -1 -1 "Courier" 1 10 0 0 255 1 2 2 2 2 2 1 1 0 0 1 }1 1 0 0 0 0 2 0 2 0 2 2 -1 1 }{PSTYLE "Fixed Width" -1 17 1 {CSTYLE "" -1 -1 "Courier" 1 10 0 0 0 1 2 2 2 2 2 2 1 0 0 1 }3 1 0 0 0 0 2 0 2 0 2 2 -1 1 }{PSTYLE "Maple Plot" -1 13 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 0 0 1 }3 1 0 0 0 0 2 0 2 0 2 2 -1 1 }{PSTYLE "Line Prin ted Output" -1 6 1 {CSTYLE "" -1 -1 "Courier" 1 10 0 0 255 1 2 2 2 2 2 1 1 0 0 1 }1 1 0 0 0 0 2 0 2 0 2 2 -1 1 }{PSTYLE "Normal256" -1 206 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 1 2 2 2 2 1 0 0 1 }3 1 0 0 0 0 2 0 2 0 2 2 -1 1 }{PSTYLE "Normal257" -1 207 1 {CSTYLE "" -1 -1 "Tim es" 1 12 0 0 0 1 2 2 2 2 2 2 1 0 0 1 }3 1 0 0 0 0 2 0 2 0 2 2 -1 1 } {PSTYLE "Text Output" -1 2 1 {CSTYLE "" -1 -1 "Courier" 1 10 0 0 255 1 2 2 2 2 2 1 1 0 0 1 }1 1 0 0 0 0 2 0 2 0 2 2 -1 1 }{PSTYLE "Diagnosti c" -1 9 1 {CSTYLE "" -1 -1 "Courier" 1 10 64 128 64 1 2 2 2 2 2 1 1 0 0 1 }1 1 0 0 0 0 2 0 2 0 2 2 -1 1 }{PSTYLE "Help" -1 10 1 {CSTYLE "" -1 -1 "Courier" 1 9 0 0 255 1 2 2 2 2 2 1 1 0 0 1 }1 1 0 0 0 0 2 0 2 0 2 2 -1 1 }{PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 0 0 1 }1 1 0 0 0 0 2 0 2 0 2 2 -1 1 }{PSTYLE "Maple O utput" -1 11 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 0 0 1 }3 1 0 0 0 0 2 0 2 0 2 2 -1 1 }{PSTYLE "Dash Item" -1 16 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 0 0 1 }1 1 0 0 3 3 2 0 2 0 2 2 -1 1 }{PSTYLE "Title" -1 18 1 {CSTYLE "" -1 -1 "Times" 1 18 0 0 0 1 2 1 1 2 2 2 1 0 0 1 }3 1 0 0 12 12 2 0 2 0 2 2 -1 1 }{PSTYLE "Error " -1 8 1 {CSTYLE "" -1 -1 "Courier" 1 10 255 0 255 1 2 2 2 2 2 1 1 0 0 1 }1 1 0 0 0 0 2 0 2 0 2 2 -1 1 }{PSTYLE "Heading 1" -1 3 1 {CSTYLE " " -1 -1 "Times" 1 18 0 0 0 1 2 1 2 2 2 2 1 0 0 1 }1 1 0 0 8 4 2 0 2 0 2 2 -1 1 }{PSTYLE "Bullet Item" -1 15 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 0 0 1 }1 1 0 0 3 3 2 0 2 0 2 2 -1 1 }{PSTYLE "He ading 4" -1 20 1 {CSTYLE "" -1 -1 "Times" 1 10 0 0 0 1 1 1 2 2 2 2 1 0 0 1 }1 1 0 0 0 0 2 0 2 0 2 2 -1 1 }{PSTYLE "Heading 3" -1 5 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 1 1 2 2 2 2 1 0 0 1 }1 1 0 0 0 0 2 0 2 0 2 2 -1 1 }{PSTYLE "Heading 2" -1 4 1 {CSTYLE "" -1 -1 "Times" 1 14 0 0 0 1 2 1 2 2 2 2 1 0 0 1 }1 1 0 0 8 2 2 0 2 0 2 2 -1 1 }{PSTYLE "Lef t Justified Maple Output" -1 12 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 0 0 1 }1 1 0 0 0 0 2 0 2 0 2 2 -1 1 }{PSTYLE "List Ite m" -1 14 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 0 0 1 } 1 1 0 0 3 3 2 0 2 0 2 2 -1 1 }{CSTYLE "Annotation Text" -1 200 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 0 0 0 1 }{CSTYLE "Help Maple Name" -1 35 "Ti mes" 1 12 104 64 92 1 2 1 2 2 2 2 0 0 0 1 }{CSTYLE "2D Math Bold" -1 5 "Times" 1 12 0 0 0 1 2 1 2 2 2 2 0 0 0 1 }{CSTYLE "Help Menus" -1 36 "Times" 1 12 0 0 0 1 2 1 2 2 2 2 0 0 0 1 }{CSTYLE "2D Math Italic" -1 3 "Times" 1 12 0 0 0 1 1 2 2 2 2 2 0 0 0 1 }{CSTYLE "Help Normal" -1 30 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 0 0 0 1 }{CSTYLE "Plot Text" -1 28 "Times" 1 8 0 0 0 1 2 2 2 2 2 2 0 0 0 1 }{CSTYLE "Help Nonterminal" -1 24 "Courier" 1 12 0 0 0 1 2 1 2 2 2 2 0 0 0 1 }{CSTYLE "Help Headin g" -1 26 "Times" 1 14 0 0 0 1 2 1 2 2 2 2 0 0 0 1 }{CSTYLE "Help Itali c" -1 42 "Times" 1 12 0 0 0 1 1 2 2 2 2 2 0 0 0 1 }{CSTYLE "Help Varia ble" -1 25 "Courier" 1 12 0 0 0 1 2 2 2 2 2 2 0 0 0 1 }{CSTYLE "Help I talic Bold" -1 40 "Times" 1 12 0 0 0 1 1 2 2 2 2 2 0 0 0 1 }{CSTYLE "D efault" -1 38 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 0 0 0 1 }{CSTYLE "Help \+ Underlined Italic" -1 43 "Times" 1 12 0 0 0 1 1 2 1 2 2 2 0 0 0 1 } {CSTYLE "Maple Input" -1 0 "Courier" 1 12 255 0 0 1 2 1 2 2 1 2 0 0 0 1 }{CSTYLE "2D Output" -1 20 "Times" 1 12 0 0 255 1 2 2 2 2 2 2 0 0 0 1 }{CSTYLE "2D Math Bold Small" -1 10 "Times" 1 1 0 0 0 1 2 1 2 2 2 2 0 0 0 1 }{CSTYLE "2D Math Small" -1 7 "Times" 1 1 0 0 0 1 2 2 2 2 2 2 0 0 0 1 }{CSTYLE "Page Number" -1 33 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 0 0 0 1 }{CSTYLE "Output Labels" -1 29 "Times" 1 8 0 0 0 1 2 2 2 2 2 2 0 0 0 1 }{CSTYLE "Plot Title" -1 27 "Times" 1 10 0 0 0 1 2 1 2 2 2 2 0 0 0 1 }{CSTYLE "Help Emphasized" -1 22 "Times" 1 12 0 0 0 1 1 2 2 2 2 2 0 0 0 1 }{CSTYLE "2D Math Symbol 2" -1 16 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 0 0 0 1 }{CSTYLE "Maple Comment" -1 21 "Courier" 1 12 0 0 0 1 2 1 2 2 2 2 0 0 0 1 }{CSTYLE "Maple Input Placeholder" -1 201 "Courie r" 1 12 200 0 200 1 2 1 2 2 1 2 0 0 0 1 }{CSTYLE "Code" -1 202 "Courie r" 1 12 255 0 0 1 2 2 2 2 2 2 0 0 0 1 }{CSTYLE "2D Inert Output" -1 203 "Times" 1 12 144 144 144 1 2 2 2 2 1 2 0 0 0 1 }{CSTYLE "2D Math I talic Small" -1 204 "Times" 1 1 0 0 0 1 1 2 2 2 2 2 0 0 0 1 }{CSTYLE " 2D Comment" -1 18 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 0 0 0 1 }{CSTYLE "H elp Underlined Bold" -1 41 "Times" 1 12 0 0 0 1 1 1 2 2 2 2 0 0 0 1 } {CSTYLE "Copyright" -1 34 "Times" 1 10 0 0 0 1 2 2 2 2 2 2 0 0 0 1 } {CSTYLE "Hyperlink" -1 17 "Times" 1 12 0 128 128 1 2 2 1 2 2 2 0 0 0 1 }{CSTYLE "Help Underlined" -1 44 "Times" 1 12 0 0 0 1 2 2 1 2 2 2 0 0 0 1 }{CSTYLE "Prompt" -1 1 "Courier" 1 12 0 0 0 1 2 1 2 2 2 2 0 0 0 1 }{CSTYLE "2D Math" -1 2 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 0 0 0 1 } {CSTYLE "2D Input" -1 19 "Times" 1 12 255 0 0 1 2 2 2 2 1 2 0 0 0 1 } {CSTYLE "Header and Footer" -1 205 "Times" 1 10 0 0 0 1 2 2 2 2 2 2 0 0 0 1 }{CSTYLE "Text" -1 206 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 0 0 0 1 }{CSTYLE "Help Notes" -1 37 "Times" 1 12 0 0 0 1 2 1 2 2 2 2 0 0 0 1 } {CSTYLE "Help Bold" -1 39 "Times" 1 12 0 0 0 1 2 1 2 2 2 2 0 0 0 1 } {CSTYLE "Equation Label" -1 207 "Times" 1 12 0 0 0 1 2 1 2 2 2 2 0 0 0 1 }{CSTYLE "LaTeX" -1 32 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 0 0 0 1 } {CSTYLE "Popup" -1 31 "Times" 1 12 0 128 128 1 1 2 1 2 2 2 0 0 0 1 } {CSTYLE "Dictionary Hyperlink" -1 45 "Times" 1 12 147 0 15 1 2 2 1 2 2 2 0 0 0 1 }{CSTYLE "Help Fixed" -1 23 "Courier" 1 10 0 0 0 1 2 2 2 2 2 2 0 0 0 1 }{CSTYLE "" -1 208 "Times" 1 12 0 0 0 1 2 1 2 2 2 2 0 0 0 1 }{CSTYLE "" -1 209 "Times" 1 12 0 0 0 1 2 1 2 2 2 2 0 0 0 1 }{CSTYLE "" -1 210 "Times" 1 12 0 0 0 1 2 1 2 2 2 2 0 0 0 1 }{CSTYLE "" -1 211 "Times" 1 12 0 0 0 1 2 1 2 2 2 2 0 0 0 1 }} {SECT 0 {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "with(plots);" }} {PARA 206 "" 0 "" {TEXT 212 8 "Surfaces" }}{PARA 0 "" 0 "" {TEXT 213 0 "" }}{PARA 0 "" 0 "" {TEXT 213 41 "The cell below illustrates how th e Maple " }{TEXT 208 6 "plot3d" }{TEXT 213 53 " procedure can be used \+ to study functions of the form" }}{PARA 0 "" 0 "" {TEXT 213 0 "" } {TEXT 209 10 "z = f(x, y" }{TEXT 213 1 ")" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 57 "plot3d(exp(-(x^2 + y^2)), x=-2..2, y=-2..2, axes=box ed);\n" }{MPLTEXT 1 0 48 "plot3d(x^2 + y^2, x=-2..2, y=-2..2, axes=box ed);" }{TEXT 213 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 213 0 "" }} {PARA 0 "" 0 "" {TEXT 213 50 "The cell below introduces several option s for the " }{TEXT 210 6 "plot3d" }{TEXT 213 57 " procedure that can h elp understand functions of the form" }}{PARA 0 "" 0 "" {TEXT 213 0 "" }}{PARA 206 "" 0 "" {TEXT 212 11 "z = f(x, y)" }}{PARA 0 "" 0 "" {TEXT 213 0 "" }}{PARA 0 "" 0 "" {TEXT 213 49 "The most dramatic of th ese options is the option " }{TEXT 211 23 "color=exp(-(x^2 + y^2))" } {TEXT 213 54 " that colors each patch on the surface by its height." }}{PARA 0 "" 0 "" {TEXT 213 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 45 "plot3d(exp(-(x^2 + y^2)), x=-2..2, y=-2..2, \n" }{MPLTEXT 1 0 49 " color=exp(-(x^2+y^2)), style=patchnogrid,\n" }{MPLTEXT 1 0 35 " grid =[50, 50], axes=boxed);" }{TEXT 213 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 45 "plot3d(exp(-(x^2 + y^2)), x=-2..2, \+ y=-2..2, \n" }{MPLTEXT 1 0 50 " color=exp(-(x^2+y^2)), style=pat chcontour,\n" }{MPLTEXT 1 0 35 " grid =[50, 50], axes=boxed);" } {TEXT 213 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 45 "plot3d(exp (-(x^2 + y^2)), x=-2..2, y=-2..2, \n" }{MPLTEXT 1 0 44 " color=e xp(-(x^2+y^2)), style=hidden,\n" }{MPLTEXT 1 0 35 " grid =[50, 5 0], axes=boxed);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 45 "plot3d( exp(-(x^2 + y^2)), x=-2..2, y=-2..2, \n" }{MPLTEXT 1 0 45 " colo r=exp(-(x^2+y^2)), style=contour,\n" }{MPLTEXT 1 0 35 " grid =[5 0, 50], axes=boxed);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 45 "plo t3d(exp(-(x^2 + y^2)), x=-2..2, y=-2..2, \n" }{MPLTEXT 1 0 67 " \+ color=exp(-(x^2+y^2)), shading=zgrayscale,lightmodel=none,\n" } {MPLTEXT 1 0 35 " grid =[50, 50], axes=boxed);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 45 "plot3d(exp(-(x^2 + y^2)), x=-2..2, y=-2.. 2, \n" }{MPLTEXT 1 0 63 " color=exp(-(x^2+y^2)), shading=none,l ightmodel=light1,\n" }{MPLTEXT 1 0 35 " grid =[50, 50], axes=box ed);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 92 "contourplot(exp(-(x ^2 + y^2)), x=-2..2, y=-2..2,contours=30,coloring=[red,blue],axes=boxe d);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 " > " 0 "" {MPLTEXT 1 0 75 "densityplot(exp(-(x^2 + y^2)), x=-2..2, y=-2 ..2,numpoints=1600,axes=boxed);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 91 "densityplot(exp(-(x^2 + y^2)), x=-2..2, y=-2..2,numpoints=1600 ,axes=boxed, colorstyle=HUE);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 55 "animate(exp(-(x^2 + t^2)), x=-2..2, t=-2..2,frames=50);" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 63 "animate(sin(x*t), x=-10..10, t=1..2, frames=50, numpoints=100);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 63 "plot3d(sin(x*t), x=-10..10, t=1..2, grid=[50,100], ax es=boxed);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 86 "animate3d(cos (t*x)*sin(t*y), x=-Pi..Pi, y=-Pi..Pi, t=1..2, frames=50, numpoints=90 0);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 73 "plot3d(exp(-(x^2 + y ^2)), x=-2..2, y=-2..2, axes=boxed, title=\"A Plot\");\n" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 106 "plot3d(exp(-(x^2 + y^2)), x=-2..2, y=-2..2, axes=boxed, title=\"A Plot\", titlefont=[HELVETICA, BOLD, 24 ]);\n" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 54 "fieldplot([y*cos(x *y), x*cos(x*y)], x=-1..1, y=-1..1);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 65 "animate(sin(x-2*t), x=-10..10, t=1..2, frames=50, num points=100);" }{MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 70 "animate(exp(-(x-2*t)^2), x=-10..10, t=1..2, frames=50, numpoin ts=100);" }{MPLTEXT 1 0 0 "" }{XPPEDIT 19 1 "" "-I%mrowG6#/I+modulenam eG6\"I,TypesettingGI(_syslibGF'6&-I#miGF$6#Q!F'-I'mspaceGF$6&/%'height GQ&0.0exF'/%&widthGQ&0.0emF'/%&depthGF4/%*linebreakGQ(newlineF'-F06&F2 F5F8/F;Q%autoF'F+" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 68 "animat e(arctan(x-2*t), x=-10..10, t=1..2, frames=50, numpoints=100);" } {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {XPPEDIT 19 1 "" "%#%?G" }}}} {MARK "0 0 0" 0 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }