Question

se Lagrange multipliers to find the maximum and minimum values of the function subject to the given constraint. (If an answer does not exist, enter DNE.) f(x, y, z) = x2 + y2 + z2; x4 + y4 + z4 = 7

Answer 1

Answer: DNE

Explanation:

The constraint isn't true since all three variables can be zero simultaneously.

One or two of the variables can be zero but we can’t have all three be zero.