20. What is the area of the closed region in the xy-plane bounded by y = 1 – x and y2 = x + 1 ?

 

A. 10/3

B. 9/2

C. 37/6

D. 20/3

E. 17/2

 

Solution: The answer is B

 

The following is the graph of the closed region in the xy-plane bounded by y = 1 – x and y2 = x + 1:

 

So that the area enclosed is given by,