(a) HA is the area of a circle with radius r and the circle expands as time passes, nd % in terms of % dA _ dr dt 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 mZ/s) Is the area of the spill increasing when the radius Is 23 m? mz/s The radius ofa sphere is Increasing at a rate of 3 mm/s. How fast is the volume Increasing (in mm3/s) when the diameter is 100 mm3 mm3/s (Round your answer to two decimal places.) Find the linearization L(X) of the function at a. f(x) = a\