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.
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.
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter61: Areas Of Circles, Sectors, And Segments
Section: Chapter Questions
Problem 24A: A piece shown by the shaded portion is to be cut from a square plate 128 millimeters on a side. a....
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Question
![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F536c3a91-6e0b-4885-bc9d-19d3d055369e%2F02aafdc6-7ad3-4572-90eb-700365e4ff87%2Fak4ov9i_processed.jpeg&w=3840&q=75)
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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