can you do 7 10 11 16 and 21 and show work just to make sure I'm doing these right

6.2 EXERCISES 1-18 Find the volume of the solid obtained by rotating the region 15. y = x', y = 0. x = 1; about x = 2 bounded by the given curves about the specified line. Sketch the region, the solid, and a typical disk or washer. 16. xy = 1, y = 0, x = 1, x =2; about x = -1 17. x = y', x = 1 - y'; about x = 3 1. yx + 1, y= 0, x = 0, x = 2; about the x-axis 18. y = x, y = 0, x = 2, x = 4; about x = 1 2. y = 1/x, y = 0, x = 1, x = 4; about the x-axis 3. y= \\x - 1. y = 0, x = 5; about the x-axis 4. y = e'. y = 0, x = -1, x = 1; about the x-axis 19-30 Refer to the figure and find the volume generated by rotating the given region about the specified line. 5. x = 2vy. x = 0, y =9; about the y-axis 6. 2x = y'. x = 0, y =4; about the y-axis Cio, 1) B(1, 1) 7. y= x. y = x, x2 0; about the x-axis 8. y =6 - x'. y = 2; about the x-axis y = Vx 9. y' = x. x = 2y; about the y-axis 10. x = 2 - y', x = y; about the y-axis 11. y= x, x = y': about y = 1 O A(1, 0) 12. y = x, y = 1, x = 2; about y = -3 13. y = 1 + sec x, y = 3; about y = 1 19. Ri about OA 20. R, about OC 14. y = sin x, y = cos x, 0