Find the maximum and minimum values of the function f(x, y, z) = x³y²z² subject to the constraint x² + y² + ² = 81. Maximum value is 27 ,occuring at (9, 9, 9) points (positive integer or "infinitely many"). points (positive integer or "infinitely Minimum value is -27 many"). ,occuring at (-9, -9, -9)

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A: