5. Set up the system of equations in the Method of Lagrange Multipliers for the function f(x, y, z) = xy + z and the constraint g(x, y, z) = x^4+ y^4+z^4=1. What must be true of a point (x, y, z) that satisfies those equations? Select one: a. z=0 b. x=y=0 c. X=y=z d. x=y or x=-y C e. y=4x^3

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A: Below is the procedure for lagranges multipliers method.

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A: We solve by the method of Lagrange  Multipliers

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