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 2 feet per minute. Find the rate at which the area is changing at the instant the radius is 10 feet. When the radius is 10 feet, the area is changing at approximately square feet per minute. (Round to the nearest thousandth as needed.)

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 45SE: A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the...
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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 2 feet per minute. Find the rate at which the area is changing at the instant the radius is 10 feet.
When the radius is 10 feet, the area is changing at approximately
square feet per minute.
(Round to the nearest thousandth as needed.)
Transcribed Image Text: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 2 feet per minute. Find the rate at which the area is changing at the instant the radius is 10 feet. When the radius is 10 feet, the area is changing at approximately square feet per minute. (Round to the nearest thousandth as needed.)
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