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 5 feet per minute. Find the rate at which the area is changing at the instant the radius is 6 feet. When the radius is 6 feet, the area is changing at approximately (Round to the nearest thousandth as needed.) square feet per minute.

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 5 feet
per minute. Find the rate at which the area is changing at the instant the radius is 6 feet.
When the radius is 6 feet, the area is changing at approximately
(Round to the nearest thousandth as needed.)
square feet per minute.
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 5 feet per minute. Find the rate at which the area is changing at the instant the radius is 6 feet. When the radius is 6 feet, the area is changing at approximately (Round to the nearest thousandth as needed.) square feet per minute.
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