y 52. Let f(x, y) = + x sin(4y). 2x² a) Find the rate at which f is changing per unit change at the point (1/2, 7) in the direction towards (3/2, 27). af b) If (r, 0) are the polar coordinates, x = r cos(0) and y = rsin(0), use the chain rule to find in terms of r, 0, x, y. ər

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