At the instant when the radius of a circle is and increasing at

MATHEMATICS · Single correct · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

At the instant when the radius of a circle is

7\,\mathrm{cm}

and increasing at

0.04\,\mathrm{cm/s}

, the rate at which its area is increasing is (a)

0.28\pi\,\text{cm}^{2}/\text{s}

(b)

14\pi\,\text{cm}^{2}/\text{s}

(c)

0.56\,\text{cm}^{2}/\text{s}

(d)

0.56\pi\,\text{cm}^{2}/\text{s}