{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 "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 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 258 "" 0 1 0 0 0 0 1 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 46 " ENGR 2422 Chapter 2 Part ial Differentiation " }}{PARA 0 "" 0 "" {TEXT -1 24 "Example 1: Cone \+ volume " }{XPPEDIT 18 0 "V = Pi*r^2*h/3;" "6#/%\"VG**%#PiG\"\"\"*$%\"r G\"\"#F'%\"hGF'\"\"$!\"\"" }{TEXT -1 1 " " }}{PARA 0 "" 0 "" {TEXT -1 10 "Graph of " }{TEXT 256 1 "V" }{TEXT -1 12 " against (" }{TEXT 257 1 "r" }{TEXT -1 2 ", " }{TEXT 258 1 "h" }{TEXT -1 16 "), modelled \+ by " }{XPPEDIT 18 0 "z = x^2*y;" "6#/%\"zG*&)%\"xG\"\"#\"\"\"%\"yGF) " }{TEXT -1 2 " ." }}{PARA 0 "" 0 "" {TEXT -1 73 "Left click on the pl ot and drag to rotate it to any desired orientation: " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 42 "plot3d(x^2*y, x=0..3, y=0..3, grid= [7,7]);" }}{PARA 13 "" 1 "" {GLPLOT3D 400 300 300 {PLOTDATA 3 "6$-%%GR IDG6%;$\"\"!F($\"\"$F(F&X,%)anythingG6\"6\"][[[[]\\q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xG%\"yGQ!6\"" 1 2 0 1 10 0 2 1 1 4 2 1.000000 77.000000 -76.000000 1 0 "Curve 1" }}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{MARK "0 0 0" 1 }{VIEWOPTS 1 1 0 3 2 1804 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }