A rock is thrown into a still pond. The circular ripples move outward from the point of impact of the rock so that the radius of the circle formed by a ripple increases at the rate of

4

feet per minute. Find the rate at which the area is changing at the instant the radius is

14

feet.

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Part 1

When the radius is

14

feet, the area is changing at approximately

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square feet per minute.

(Round to the nearest thousandth as needed.)