19. What is the area of the closed region in the xy-plane bounded by y2 = 4 – x and y2 = 4 – 4x ?

 

A.

B.

C.

D.

E.

 

Solution: The answer is A

The following is the graph of the closed region in the xy-plane bounded by y2 = 4 – x and y2 = 4 – 4x:

 

Thus, the area of the closed region is given by,