(a) Find the average rate of change of the area of a circle with respect to its radius r as r changes from 4 to each of the following. (i)    4 to 5     (ii)    4 to 4.5     (iii)    4 to 4.1     (b) Find the instantaneous rate of change when r = 4. A'(4) =

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 3E
icon
Related questions
Question

(a) Find the average rate of change of the area of a circle with respect to its radius r as r changes from 4 to each of the following.

(i)    4 to 5
 
 
(ii)    4 to 4.5
 
 
(iii)    4 to 4.1
 
 
(b) Find the instantaneous rate of change when r = 4.

A'(4) =

 
 
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 6 steps with 6 images

Blurred answer
Knowledge Booster
Rate of Change
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning