Question: Find the maximum and minimum values of the function f(x, y, z) = x ^2 + y ^2 + z^2 subject to the constraint x

Find the maximum and minimum values of the function f(x, y, z) = x ^2 + y ^2 + z^2 subject to the constraint x ^2 + y^ 2 + z ^2 + xy = 12.

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