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

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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