   Chapter 11.4, Problem 91E Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203

Solutions

Chapter
Section Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203
Textbook Problem

Pollution An offshore oil well is leaking oil and creating a circular oil slick. If the radius of the slick is growing at a rate of 2 miles per hour, find the rate at which the area is increasing when the radius is 3 miles. (The area of a disc of radius r is A = π r 2 .) [HINT: See Quick Example 4.]

To determine

To calculate: The rate at which the area is increasing when the radius is 3 miles if an offshore oil is leaking oil and creating a circular oil slick and the radius of the slick is growing at a rate of 2 miles per hour.

Explanation

Given Information:

An offshore oil is leaking oil and creating a circular oil slick and the radius of the slick is growing at a rate of 2 miles per hour. Area of a disc of radius r is A=πr2

Formula used:

Derivative of function f(x)=(u)n using chain rule is f'(x)=ddx(u)n=nun1dudx, where u is the function of x and dudx is unspecified

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