21. What is the area of the closed region in the first quadrant bounded by y = 0, x = y2, and the line normal to this curve at (1,1)?
|
A. 2/3 |
B. 11/12 |
C. 3/2 |
|
D. 13/6 |
E. 14/3 |
Solution: The answer is B
The following is the graph of the closed region D in the first quadrant bounded by y = 0, x = y2, and the line normal to this curve at (1,1):
Thus, the area of region D is given by,
