A rock is thrown into a still pond. The circular ripple move outward from the point of impact of the rock so that the area of the circle formed by a ripple increases at the rate of 100 square feet per minute. Find the rate at which the radius is changing at the instant the radius is 5 feet.

Step-by-step explanation:

Area of the Pond A=

The increase in the area of the pond as it moves outward is:

Since the area of the circle formed increases at the rate of 100 square feet per minute.

= 100 Square feet per minute

When the radius, r = 5 feet, we want to determine the rate at which the radius is changing, .

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step-by-step explanation:

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step-by-step explanation: