The area of a circular pond is increasing uniformly at

MATHEMATICS · Subjective · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

The area of a circular pond is increasing uniformly at 120 m2 ⁣/ ⁣min120\,\text{m}^2\!\big/\!\text{min}. At the instant when the radius of the pond is 15 m15\,\text{m}, (a) calculate the rate at which the radius is increasing, (b) determine the rate of change of the circumference at the same instant. Give each answer correct to two decimal places and include appropriate units.

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