The area of a circle increases at a rate of 3 cm2 /s. a. How fast is the radius changing when the radius is 5 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 a as needed.) Differentiate both sides of the equation with respect to t. dA dr dt dt (Type an exact answer, using n as needed.) When the radius is 5 cm, the radius is changing at a rate of (Type an exact answer, using t as needed.) b. When the circumference is 2 cm, the radius is changing at a rate of (Type an exact answer, using t as needed.)

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