243143 - Z = e+fx(1,1)(x-1)+fy(1,1) (y-1) Fx = e^(x/y) @...

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14.3 Tan plane to surface: z=f(a,b)+fx(a,b)(x-a)+fy(a,b)(y-b) Find Eq of tan plane Z = x^2+y^2 @ (3,4) Fx = 2x==6 and Fy=2y==8 F(3,4) = 3^2+4^2=25, so z = 25+6(x-3)+8(y-4) OR Z = -25+6x+8y No TAN planes=No partial derivatives Find Eq of tan plane z=f(x,y), f(x,y)=ye^(x/y) @ (1,1,e)
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Unformatted text preview: Z = e+fx(1,1)(x-1)+fy(1,1) (y-1) Fx = e^(x/y) @ Fx(1,1) = e Fy=e^(x/y)-x/y*e^(x/y) So Fy (1,1) = e-e=0.Z = e+e(x-1)====ex T(2.04,0.97) = T(2.1)+Tx(2,1)*dx+Ty(2,1)*dy ==135+16*0.024+(-15)(-0.03)==136.09 C...
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