{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 "" -1 256 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 257 "SymbolPi" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 258 "Sym bolPi" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 259 "SymbolPi" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 260 "SymbolPi" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }{PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "Tim es" 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 Plot" -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 256 13 "Example 2.6.2" }{TEXT -1 3 " " }{XPPEDIT 18 0 "f(x,y) = 2*x^3+xy^2+5*x^2+y^2;" "6#/-%\"fG6$% \"xG%\"yG,**&\"\"#\"\"\"*$F'\"\"$F,F,*$%#xyGF+F,*&\"\"&F,*$F'F+F,F,*$F (F+F," }{TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 36 "Minimum at (0, 0, 0), Maximum at (" }{TEXT 257 1 "-" }{TEXT -1 17 "5/3, 0, 125/27), \+ " }}{PARA 0 "" 0 "" {TEXT -1 18 "Saddle points at (" }{TEXT 258 1 "-" }{TEXT -1 3 "1, " }{TEXT 259 1 "-" }{TEXT -1 13 "2, 3) and (" } {TEXT 260 1 "-" }{TEXT -1 9 "1, 2, 3)." }}{PARA 0 "" 0 "" {TEXT -1 83 "Click on the graph and drag it in order to view the surface from anot her direction." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 103 "plot3d(2 *x^3 + x*y^2 + 5*x^2 + y^2, x=-2..1, y=-3..3, view=-5..25, axes=boxed , orientation=[-135,50]);" }}{PARA 13 "" 1 "" {GLPLOT3D 724 545 545 {PLOTDATA 3 "6'-%%GRIDG6%;$!\"#\"\"!$\"\"\"F);$!\"$F)$\"\"$F)X,%)anyth ingG6\"6\"[gl'!%\"!!#\\bm\":\":C014000000000000C00C800000000000C002000 000000000BFF100000000000000000000000000003FEE0000000000003FFC000000000 00040038000000000004008000000000000400B800000000000400E000000000000400 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