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Problem 1. (20 points) Consider the function f (:13, y) = 2:122 + :92 on the region $2 + y2 S 1. (a) Find all

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Problem 1. (20 points) Consider the function f (:13, y) = 2:122 + :92 on the region $2 + y2 S 1. (a) Find all critical points of f (3:, 3;) inside the region. Then classify the critical points using the second derivative test. (b) Find the absolute maximum and the absolute minimum values of f(:r, y) on the region 3:2 + y2 S 1

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