   Chapter 11.4, Problem 92E 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

Mold A mold culture in a dorm refrigerator is circular and growing. The radius is growing at a rate of 0.3 centimeters per day. How fast is the area growing when the culture is 4 centimeters in radius? (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 growing when the culture is 4 centimeters in radius if it is given that a mold culture in a dorm refrigerator is circular and growing and also the radius is growing at a rate of 0.3 centimeters per day.

Explanation

Given Information:

A mold culture in a dorm refrigerator is circular and growing and also the radius is growing at a rate of 0.3 centimeters per day. 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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