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 18 feet. When the radius is 18 feet, the area is changing at approximately square feet per minute. (Round to the nearest thousandth as needed.) ~
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 18 feet. When the radius is 18 feet, the area is changing at approximately square feet per minute. (Round to the nearest thousandth as needed.) ~
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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 4 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.
(Round to the nearest thousandth as needed.)
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