Find the maximum and minimum values of f(x, y, z) = x +y + z2 subject to the constraints x +y+z =1 and x2 + 22 = 1. %3D

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A: Given:  The function is  f(x,y,z)=x2+2y-z2And subject to the constraints  2x-y=0 and y+z=0

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Q: Use Lagrange multipliers to find the maximum and minimum values of f(x, y, z) = x + y + 5z, subject…

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Q: Find the maximum and minimum values of f(x, y, z) = x + y + z subject to the constraints x2 -y2 = z,…

A: The surface is given by f(x, y, z) = x + y + z. The constraints are x2 -y2 = z, x2 + z2 =4. Consider…