Question: A region is bounded by two concentric circles, as shown by the shaded region in the figure above. The radius of the outer circle, R,

A region is bounded by two concentric circles, as shown by

A region is bounded by two concentric circles, as shown by the shaded region in the figure above. The radius of the outer circle, R, is increasing at a constant rate of 2 inches per second. The radius of the inner circle, r, is decreasing at a constant rate of 1 inch per second. What is the rate of change, in square inches per second, of the area of the region at the instant when R is 4 inches and r is 3 inches

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