Apentix/AP Calculus AB/Unit 4: Contextual Applications of Differentiation/Question
AP Calculus ABhardmcq1 pt

A pebble is dropped into a still pond, creating a circular ripple. The radius of the ripple is increasing at a constant rate of 22 feet per second. Which of the following correctly relates the rate of change of the area AA enclosed by the ripple to its radius rr?

Explanation

Core Concept

Correct. The area of a circle is A=πr2A = \pi r^2. Differentiating both sides with respect to time tt yields dAdt=2πrdrdt\frac{dA}{dt} = 2\pi r \frac{dr}{dt}.

Correct Answer

q5_a

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