3 Nov 2021
Problem 17
Page 463
Section 6.5: Average Value of a Function
Chapter 6: Application of Integration
Textbook ExpertVerified Tutor
3 Nov 2021
Given information
The length of the rod is 8m.
The linear density of the rod is 
.
Step-by-step explanation
Step 1.
The average density of the rod can be obtained using the formula, 
Where 
and 
.
so, average density=
To solve this integral, substitute 
which on differentiation gives 
and the limits of integration after the substitution is as follows:
If 
, then 
and if 
, then 
Single Variable Calculus: Early Transcendentals
4th Edition, 2018
Stewart
ISBN: 9781337687805
Solutions
Chapter
Section
- Problem 1
- Problem 2
- Problem 3
- Problem 4
- Problem 5
- Problem 6
- Problem 7a
- Problem 7b
- Problem 7c
- Problem 8a
- Problem 8b
- Problem 8c
- Problem 9a
- Problem 9b
- Problem 9c
- Problem 10a
- Problem 10b
- Problem 10c
- Problem 11
- Problem 12
- Problem 13
- Problem 14a
- Problem 14b
- Problem 15
- Problem 16
- Problem 17
- Problem 18
- Problem 19
- Problem 20
- Problem 21
- Problem 22