Question: 3. (25 pt) Minimize the function f(x, y, z) = x+2y2 + 22 subject to the constraints x + y + z = 0

3. (25 pt) Minimize the function f(x, y, z) = x+2y2 +

3. (25 pt) Minimize the function f(x, y, z) = x+2y2 + 22 subject to the constraints x + y + z = 0 and x z=1 by using Lagrange multipliers.

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