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The temperature at any point (x, y, z) in space is T = x y3 z4 Find the highest temperature on the surface 4 x2 + 4 y2 + z2 =

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Answer #1

objective function is f(x, y, z) = xy*24 constraint is. g(x, y, z) = 4x + 4y2 +22 -8 = 0; by using lagranges multipliers F(x,

y? = 3x?:3z= 32y?: 4x + 4y2 + 2? - 8 = 0; + 16y2 = 8 - 11 X- VC 25 16 1= xyz = X W650V3 162 211249 16x8 23x9 64 95

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