{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 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 0 0 1 }{CSTYLE "2D Comment" 2 18 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 } {CSTYLE "" -1 258 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 259 "" 0 1 0 0 0 0 1 0 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 1 0 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 }{PSTYLE "Maple Plo t" -1 13 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 } 3 1 0 0 0 0 1 0 1 0 2 2 0 1 }} {SECT 0 {EXCHG {PARA 0 "" 0 "" {TEXT -1 36 "ENGI. 2422 Engineering Mat hematics 2" }}{PARA 0 "" 0 "" {TEXT 260 29 "Examples 1.5 Quadric Surfa ces" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 99 "For each graph, click on t he graph and drag it in order to view the surface from another directi on." }}{PARA 0 "" 0 "" {TEXT -1 13 "Example 1.5.1" }}{PARA 0 "" 0 "" {XPPEDIT 18 0 "2*x = 3*y^2+4*z^2;" "6#/*&\"\"#\"\"\"%\"xGF&,&*&\"\"$F& *$%\"yGF%F&F&*&\"\"%F&*$%\"zGF%F&F&" }{TEXT -1 48 " is an elliptic p araboloid, aligned along the " }{TEXT 261 1 "x" }{TEXT -1 27 "-axis, v ertex at (0, 0, 0)." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 180 "plo t3d([6*s,2*sqrt(s)*cos(t),sqrt(s)*sqrt(3)*sin(t)], \ns=-0.1..0.4, t=0. .2*Pi,\naxes=normal, scaling=constrained, orientation=[-45,60], \ntitl e=`Example 1.5.1\\nElliptic paraboloid`);" }}{PARA 13 "" 1 "" {GLPLOT3D 518 484 484 {PLOTDATA 3 "6'-%%MESHG6#7;7;7%$!3)3+++++++'!#=% *undefinedG$\"\"!F.7%F)F,F,F/F/F/F/F/F/F/F/F/F/F/F/F/F/F/F/F/F/F/F/F/F /F/7;7%$!3)3++++++v%F+F,F-7%F2F,F,F4F4F4F4F4F4F4F4F4F4F4F4F4F4F4F4F4F4 F4F4F4F4F47;7%$!3)3++++++]$F+F,F-7%F7F,F,F9F9F9F9F9F9F9F9F9F9F9F9F9F9F 9F9F9F9F9F9F9F9F97;7%$!3;,+++++]AF+F,F-7%FF>F>F>F>F>F>F>F>F>F>F >F>F>F>F>F>F>F>F>F>F>F>7;7%$!3;,++++++5F+F,F-7%FAF,F,FCFCFCFCFCFCFCFCF CFCFCFCFCFCFCFCFCFCFCFCFCFCFC7;7%$\"3'p)***********\\#!#>$\"3o;Q:YW*4H \"F+F-7%FF$\"3KRa8x[+Z7F+$\"3==f#y)[o$*GFH7%FF$\"3nGF^')R.=6F+$\"3m0ce K*p,f&FH7%FF$\"3Cc?Zt#4(G\"*FH$\"3fJ(HY8%p0zFH7%FF$\"399r'HBs\\X'FH$\" 3i5Y0X$eCo*FH7%FF$\"3@^)3y\\R8M$FH$\"3))fQC-z$*z5F+7%FF$!3i))R+rQ(yk#! 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t=0..2*Pi,\naxes=normal, scaling=cons trained, orientation=[-45,60], \ntitle=`Example 1.5.3\\nHyperboloid of 2 sheets`);" }}{PARA 13 "" 1 "" {GLPLOT3D 488 484 484 {PLOTDATA 3 "6( -%%MESHG6#X.%)anythingG6\"6\"[gl'!%\"!!$^`r\":\":\"$C00108C3AABD6A6040 02D1BC21E220228000000000000000C000742CC520EFBC4002D1BC21E22022BFE1A298 6E4CF8BFBFFD8110BC06DB024002D1BC21E22022BFF108C3AABD6A5CBFF8170D531B63 1B4002D1BC21E22022BFF8170D531B6311BFF108C3AABD6A694002D1BC21E22022BFFD 8110BC06DAFBBFE1A2986E4CF8DC4002D1BC21E22022C000742CC520EFBABCEEFBF9A2 B5EA2D4002D1BC21E22022C00108C3AABD6A603FE1A2986E4CF8A04002D1BC21E22022 C000742CC520EFBE3FF108C3AABD6A4F4002D1BC21E22022BFFD8110BC06DB093FF817 0D531B63064002D1BC21E22022BFF8170D531B63263FFD8110BC06DAF34002D1BC21E2 2022BFF108C3AABD6A754000742CC520EFB84002D1BC21E22022BFE1A2986E4CF8F940 0108C3AABD6A604002D1BC21E22022BCFEFBF9A2B5EA2D4000742CC520EFC04002D1BC 21E220223FE1A2986E4CF8823FFD8110BC06DB124002D1BC21E220223FF108C3AABD6A 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