9. Let S be the closed region bounded by the curves y2 = 2x and y2 = 8 – 2x. Then

A. 64/5

B. 128/5

C. 128/3

D. 256/5

E. 256/3

 

Solution: The answer is D

 

The following is the graph of the closed region S:

 

Using the above graph we can rewrite and solve for the double integral as follows: