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

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Mathematics

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14 February, 08:22

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

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Levi Mcgee · Answer 1

Answer: DNE

Step-by-step 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.