A circle’s radius increases at a constant rate of

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

Problem

A circle’s radius increases at a constant rate of 2 cm ⁣/ ⁣s2\text{ cm}\!\big/\!\text{s}. Calculate the rate at which its area is increasing at the instant the radius is 5 cm5\text{ cm}. Give exact units.

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