SHow all work I know the answer is it does not exist but im notsure of the steps
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Use Lagrange multipliers to find the maximum or minimum values of the function subject to the given constraint. (If an answer does not exist, enter DNE.) f(x, y) = x4 + y4; x2 + y2 = 8
Use Lagrange multipliers to find the maximum and minimum values of the function subject to the given constraints. (If an answer does not exist, enter DNE.)
f (x, y, z) = x4 + y4 + z4; x2 + y2 + z2 = 7