8 Nov 2021
Problem 46
Page 474
Section 6.6: Applications to Physics and Engineering
Chapter 6: Application of Integration
Textbook ExpertVerified Tutor
8 Nov 2021
Given information
The curves that bound the region are , and .
Step-by-step explanation
Step 1.
Rewrite the equation for in terms of .
Let this be the function .
The region is bounded on the -axis by 0 and 2.
Now obtain
Also obtain
Also compute .
Now obtain and
Therefore, and
So, the coordinates of centroid of the region is .