Question: 3. Define f : R2 - R by f(x, y) = (2 - 2x + 2 + y2) ex cosy. (a) (4 points) Prove that

3. Define f : R2 - R by f(x, y) =

(2 - 2x + 2 + y2) ex cosy. (a) (4 points)

3. Define f : R2 - R by f(x, y) = (2 - 2x + 2 + y2) ex cosy. (a) (4 points) Prove that f has no global maximum or global minimum. (b) (10 points) Find all critical point(s) of f, and determine whether each critical point is a point of local maximum, a point of local minimum or a saddle point

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