Question: Consider the function f(x,y) = x 4 + y 4 4 x y . (a) Identify and classify all critical points of the function f.

Consider the function f(x,y) = x4+y44xy .

(a) Identify and classify all critical points of the function f.

(b) Determine the minimum and maximum values of the function f on the curve x4+y4=32.

(c) Determine the absolute minimum and maximum values of the function f on the region x4+y432.

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