(a) If A is the area of a circle with radius r and the circle expands as time passes, find dA in terms of dr dt dt dA =(2ar dt (b) Suppose oil spills from a ruptured tanker and spreads in a circular pattern. If the radius of the oil spill increases at a constant rate of 2 m/s, exactly how fast (in m2/s) is the area of the spill increasing when the radius is 32 m? 2nkr m?/s

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A: detailed solution is given below

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