Let f(x, y) = y²x², and let D = {(x, y)² + 4y² ≤ 4}. (a) Find the absolute maximum and minimum values, as well as their locations, of f(x, y) on D. You may use Lagrange multipliers to find the boundary points of D where the extreme values could be. (b) There should be only one critical point for the function within D. Is this critical point a local maximum, a local minimum, a saddle point, or none of these? Justify your answer.

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