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{TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 110 "                        \+
                                                 Multivariable  Calcul
us  Introduction" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "> " 0 "" 
{MPLTEXT 1 0 12 "with(plots):" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}
{EXCHG {PARA 0 "" 0 "" {TEXT -1 58 "#10,  p. 746.  Think about what is
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{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 83 "#1
9,  p. 746.  Level  Curves: Plot the level curves for the surface  z =
 x^2 - y^2." }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 44 "implicitplot(x^2 - y
^2 = 4,x=-4..4,y=-4..4);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 81 
"implicitplot(\{x^2 - y^2 = -4, x^2 - y^2 = 4, x^2 - y^2 = 0.5\}, x=-4
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ot(x^2 - y^2, x=-4..4, y=-4..4, grid=[15,15],contours=[-4,4,1/2]);" }}
}{EXCHG {PARA 0 "" 0 "" {TEXT -1 146 "Notice that level curves bunch t
ogether in regions where the surface is steepest, and are most spread \+
apart in regions where the surface is level." }}}{EXCHG {PARA 0 "> " 
0 "" {MPLTEXT 1 0 55 "contourplot(x^2 - y^2, x=-4..4, y=-4..4, grid=[1
5,15]);" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "" 0 "" 
{TEXT -1 31 "I bet you can't guess this one." }}{PARA 0 "> " 0 "" 
{MPLTEXT 1 0 101 "implicitplot3d( x^3 + y^3 + z^3 + 1 - (x + y + z + 1
)^3 = 0,x=-2..2,y=-2..2,z=-2..2,grid=[30,30,30]);" }}}{PARA 0 "" 0 "" 
{TEXT -1 0 "" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 15 "#30,  p. 746.  " }
}{PARA 0 "> " 0 "" {MPLTEXT 1 0 58 "implicitplot3d(9*x^2+4*y^2+z^2=1,x
=-1..1,y=-1..1,z=-1..1);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 74 
"implicitplot3d(9*x^2+4*y^2+z^2=1,x=-1..1,y=-1..1,z=-1..1,grid=[15,15,
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{TEXT -1 13 "#32,  p. 746." }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 58 "impli
citplot3d(x^2/4+y^2/9-z^2=1,x=-2..2,y=-2..2,z=-2..2);" }}}{PARA 0 "" 
0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 20 "A personal fa
vorite:" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 43 "plot3d(sin(sqrt(x^2+y^2)
),x=-1..1,y=-1..1);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 60 "plot
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