{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 1 0 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 }{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 "Warning" -1 7 1 {CSTYLE "" -1 -1 "Courier " 1 10 0 0 255 1 2 2 2 2 2 1 1 1 3 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 10 "ENGI 3424 " }{TEXT 257 13 "Example 4.6.1" }}{PARA 0 "" 0 "" {TEXT -1 33 "Plot of the circular pa raboloid " }{TEXT 256 1 "z" }{TEXT -1 3 " = " }{XPPEDIT 18 0 "f(x,y) \+ = x^2+y^2+4*x-6*y;" "6#/-%\"fG6$%\"xG%\"yG,**$)F'\"\"#\"\"\"F-*$)F(F,F -F-*&\"\"%F-F'F-F-*&\"\"'F-F(F-!\"\"" }{TEXT -1 2 " " }}{PARA 0 "" 0 "" {TEXT -1 34 "in cylindrical polar coordinates " }{XPPEDIT 18 0 "z \+ = r^2;" "6#/%\"zG*$)%\"rG\"\"#\"\"\"" }{TEXT -1 1 "." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 68 "addcoords(z_cylindrical,[z,r,theta],[r*co s(theta),r*sin(theta),z]);\n" }}{PARA 7 "" 1 "" {TEXT -1 55 "Warning, \+ coordinates already exists, system redefined.\n" }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 112 "plot3d(r*r,r=0..3,theta=0..2*Pi,coords=z_cyli ndrical, title=`circular paraboloid`,orientation=[0,80],axes=none);" } }{PARA 13 "" 1 "" {GLPLOT3D 335 335 335 {PLOTDATA 3 "6&-%%MESHG6#X.%)a nythingG6\"6\"[gl'!%\"!!$^`r\":\":\"$000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 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