Week in Review Math 152 Sections 7.1, 7.2,

7.1 For problems 1 through 6, find the area of the region bounded by:

1. .

2.

3.

4.

5.

6.

7.2 Volumes by disks/washers and slices.

7. Find the volume of the solid formed when the region bounded by is rotated about the x-axis.

8. Find the volume of the solid formed when the region bounded by , x=0 is rotated about the x-axis. Set up only.

9. Find the volume of the solid formed when the region bounded by is rotated about the x-axis. Set up only.

10. Find the volume of the solid formed when the region bounded by is rotated about the x-axis.

11. Find the volume of the solid formed when the region bounded by is rotated about the y-axis.

12. Find the volume of the region which has a triangular base with vertices at (0, 0),(2, 0),

and (0, 5), and cross sections perpendicular to the x-axis are semicircles.

13. Find the volume of the region with triangular base with vertices at (0, 0), (6, 0), and

(0, 3), and cross sections perpendicular to the y-axis are squares.

14. Find the volume of the solid formed when the region bounded by is rotated about the x-axis.

15. . Find the volume of the solid formed when the region bounded by

a) is rotated about the line y= -1.

b) is rotated about the line y= e.

16. Find the volume of the solid formed when the region bounded by

, x=0 is rotated about the y-axis.

17. Find the volume of the solid formed when the region bounded by

is rotated about

a) the line y=1 b) the y-axis. c) the line x = -1.