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(15 pts) Let f(x, y) = 5x2 - x4+ 3y2 +6xy. (a) (10 pts) Find and classify the critical points of f (x, y). (b)

(15 pts) Let f(x, y) = 5x2 - x4+ 3y2 +6xy. (a) (10 pts) Find and classify the critical points of f (x, y). (b) (5 pts) Does f(x, y) attain an absolute minimum value? If so, find it

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