{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 }{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 "Headi ng 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 }} {SECT 0 {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "restart;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "with(plots);" }{TEXT -1 0 "" }} {PARA 0 "" 0 "" {TEXT -1 43 "plot3d will plot z=f(x,y) for f(x,y) give n." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 77 "plot3d(sqrt(9*x^2+4*y ^2+1),x=-1..1,y=-1..1, scaling=constrained, axes=boxed);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 71 "plot3d(sqrt(x^2+y^2),x=-1..1,y=-1.. 1, scaling=constrained, axes=boxed);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 72 "plot3d(-sqrt(x^2+y^2),x=-1..1,y=-1..1, scaling=constr ained, axes=boxed);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 65 "plot 3d(x^2+y^2,x=-1..1,y=-1..1, scaling=constrained, axes=boxed);" }{TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 57 "Elliptic paraboloid (Paraboloid of revolution since a=b)." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 65 "plot3d(x^2-y^2,x=-1..1,y=-1..1, scaling=constrained, axes=boxed); " }{TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 30 "Hyperbolic paraboloid \+ (Saddle)" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 111 "implicitplot3d ( x^3 + y^3 + z^3 + 1 = (x + y + z + 1)^3,x=-2..2,y=-2..2,\nz=-2..2,gr id=[13,13,13], axes=boxed);\n" }}}{PARA 4 "" 0 "examples" {TEXT -1 0 " " }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 59 "implicitplot3d(y = exp(- x*z),x=-Pi..Pi,y=-Pi..Pi,\nz=-1..1);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 65 "implicitplot3d(x^2 - y^2 + z^2 = 1,x=-Pi..Pi,y=-Pi..P i,\nz=-1..1);" }{TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 64 "Hyperbolo id of one sheet. (Hyperboloid of revolution since a=c)" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 81 "implicitplot3d(\{x^2 - y^2 + z^2 = \+ 1,y = exp(-x*z)\},x=-Pi..Pi,y=-Pi..Pi,\nz=-1..1);" }{TEXT -1 0 "" }} {PARA 0 "" 0 "" {TEXT -1 29 "Intersection of two surfaces." }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 93 "im plicitplot3d( (x-1)^2 + (y+1)^2 + z^2 = 4,x=-1..3,y=-3..1,z=-2..2,\nco lor=blue, axes=boxed);" }{TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 7 "S phere!" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 105 "implicitplot3d( \+ 4*x^2 + 9*y^2 + 10*z^2 = 1,x=-1..1,y=-1..1,z=-0.5..0.5,\naxes=boxed, s caling=constrained);" }{TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 10 "El lipsoid." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 105 "implicitplot3d ( 4*x^2 + 9*y^2 - 10*z^2 = 1,x=-1..1,y=-1..1,z=-0.5..0.5,\naxes=boxed, scaling=constrained);" }{TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 24 " Hyperboloid of one sheet" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 102 "implicitplot3d( 4*x^2 + 9*y^2 - 10*z^2 = -1,x=-1..1,y=-1..1,z=-1. .1,\naxes=boxed, scaling=constrained);" }{TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 25 "Hyperboloid of two sheets" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 89 "implicitplot3d( x^2 = 2*y,x=-1..1,y=-1..1,z=-0.5.. 0.5,\naxes=boxed, scaling=constrained);" }{TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 18 "Parabolic Cylinder" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 91 "implicitplot3d( x^2 + y^2=1,x=-1..1,y=-1..1,z=-0.5.. 0.5,\naxes=boxed, scaling=constrained);" }{TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 17 "Elliptic Cylinder" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 90 "implici tplot3d( x^2/25 - y^2/4=1,x=1..10,y=1..10,z=0..5,\naxes=boxed, scaling =constrained);" }{TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 19 "Hyperbol ic Cylinder" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 82 "plot3d( sin( sqrt(x^2+ y^2)),x=-10..10,y=-10..10,\naxes=boxed, scaling=constrained) ;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 70 "contourplot(sin(sqrt(x ^2+y^2)),x=-5..5,y=-5..5, scaling=constrained);\n" }}}{EXCHG {PARA 0 " " 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 72 "cont ourplot(exp(-x^2)+exp(-4*y^2),x=-5..5,y=-5..5, scaling=constrained);" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 17 "14.3 Exercise #8:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 59 "contourplot(exp(x*y),x=-1..1,y=-1.. 1, scaling=constrained);" }{TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 47 "plot3d(exp(x*y),x=-1.. 1,y=-1..1,style=contour);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 66 "plot3d(exp(x*y),x=-1..1,y=-1..1, axes=boxed, scaling=constrained); " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{MARK "0 0 0" 8 } {VIEWOPTS 1 1 0 1 1 1803 1 1 0 1 }{PAGENUMBERS 0 1 2 33 1 1 }