a) Compute the absolute extrema of f(x, y) = y² on D = {(x, y) : 0 ≤ y ≤4-x²,-2 ≤ x ≤ 2}. Confirm/explain the result using a graph of the domain and the contour plot of the function. b) Compute the points closest to the origin that lie on the curve of intersection of z = y² and x² + y² = 9,using the method of Lagrange Multipliers.

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