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QUESTION

Consider the function f(x,y) = x^{4}+y^{4}-4xy . (a) Identify and classify all critical points of the function f.

Consider the function f(x,y) =  .

(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 .

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

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