{VERSION 4 0 "IBM INTEL NT" "4.0" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 1 }{CSTYLE "" -1 256 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 257 "" 0 1 0 0 0 0 0 1 0 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 0 }{CSTYLE "" -1 259 "" 0 1 0 0 0 0 0 1 0 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 0 }{CSTYLE "" -1 261 "" 0 1 0 0 0 0 0 1 0 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 0 }{CSTYLE "" -1 263 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{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 }} {SECT 0 {EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }{TEXT 256 44 "These are \+ the surfaces we discussed in class" }{TEXT -1 0 "" }}}{EXCHG {PARA 0 " " 0 "" {TEXT -1 0 "" }{TEXT 258 37 "Cylinder (parabolic cylinder in fa ct)" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 28 "plot3d(x^2,x=-2..2,y =-2..2);" }{TEXT -1 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" } {TEXT 259 9 "Ellipsoid" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 88 "w ith(plots):implicitplot3d(x^2+y^2/9+z^2=1,x=-1.5..1.5,y=-4..4,z=-3..3, \nnumpoints=1600);" }{TEXT -1 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }{TEXT 260 19 "Elliptic paraboloid" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 36 "plot3d(4*x^2+y^2,x=-5..5,y=-10..10);" }{TEXT -1 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }{TEXT 261 21 "Hyperbolic para boloid" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 36 "plot3d(y^2-x^2,x= -40..40,y=-30..30);" }{TEXT -1 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }{TEXT 262 22 "Hyperboloid of 1 sheet" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 73 "implicitplot3d(x^2/4+y^2-z^2/4=1,x=-3..3,y=-2..2 ,z=-3..3,numpoints=1600);" }{TEXT -1 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }{TEXT 263 23 "Hyperboloid of 2 sheets" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 73 "implicitplot3d(y^2/4-x^2-z^2/2=1,x=-4..4, y=-5..5,z=-3..3,numpoints=1600);" }{TEXT -1 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }{TEXT 257 13 "Elliptic cone" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 191 "(For this next one, if you are using a slow compute r (<500 MHz say) then change the 90000 to something less, like 1600. \+ Your graph will be less accurate though - especially near the origin.) " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 70 "implicitplot3d(z^2=2*x^ 2+y^2,x=-4..4,y=-5..5,z=-5..5,numpoints=90000);" }{TEXT -1 0 "" }}} {EXCHG {PARA 0 "" 0 "" {TEXT -1 43 "Now try playing around with these \+ yourself." }}}}{MARK "4 0 0" 72 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 } {PAGENUMBERS 0 1 2 33 1 1 }