· · \' \' - elated Rates Score: 0.33 of 1 pt 20f 8 (2 complete) Hw Score: 16.67%

Question

· · ' ' - elated Rates Score: 0.33 of 1 pt 20f 8 (2 complete) Hw Score: 16.67%, 1.3 3.1 1 .9-Setup & Solve The area of a circle increases at a rate of 5 cm2 /s a. How fast is the radius changing when the radius is 6 cm? b. How fast is the radius changing when the circumference is 2 cm? a. Write an equation relating the area of a circle, A, and the radius of the circle, r Type an exact answer, using as needed.) Enter your answer in the answer box and then click Check Answer Clear All remaining

Explanation / Answer

A = pi r2

a .dA/dt= 2 pi r(dr/dt)

5=2 pi(6) dr/dt

dr/dt= 5/12pi

dr/dt=5/12pi

b. C= 2 pi r

A= pi r2

A= (C/2)r

A=(2/2)r

A=r

dA/dt=dr/dt

5=dr/dt

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