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 18 feet. When the radius is 18 feet, the area is changing at approximately square feet per minute. (Type an integer or a decimal. Round to the nearest thousandth as needed.)

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter10: Exponential And Logarithmic Functions
Section10.3: Evaluate And Graph Logarithmic Functions
Problem 10.53TI: In 1906, San Francisco experienced an intense earthquake with a magnitude of 7.8 on the Richter...
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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 18 feet.
When the radius is 18 feet, the area is changing at approximately square feet per minute. (Type an integer or a decimal. 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 18 feet. When the radius is 18 feet, the area is changing at approximately square feet per minute. (Type an integer or a decimal. Round to the nearest thousandth as needed.)
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