Want to ask: #11
Correct Answer: 11pi/30
p.s. one of the picture below is my calculating process, i have no idea where is the error
For another method see Exercise 64. 5.2 EXERCISES about y-4 1-18 Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Sketch the16. yx2 y region, the solid, and a typical disk or washer. 15. y-x,y=4; aboutx 1. y-x + 1, y=0, x=0, x-2: about the x-axis 2. y-1/x, y 0, x = 1, x-4; about the x-axis 18. y-x, y = 0, x 2, x= 4; about x-1 3. y = 2-tx, y-0, x-1, x = 2; about the x-axis 4. x = y-y, x = 0; about the y-axis 19-30 Refer to the figure and find the volume genera rotating the given region about the specified line 5, x-2G. x-0, y 6, 2x = y, x-0, y 7. y-2y-5-x 9; about the y-axis 4, about the y-axis about the x-axis about the x-axis CO, 1 St 8. y-6-x, y 2; y a 9. y 2 = x, x-2y; about the y-axis 10, x-2-y, x = y"; about the y-axis 11. y x 2, x y, about y = 1 12. y = x, y = 1, x= 2; about y--3 13. y-x, x = 2, y= 0; about the y-axis 14. y-sin x, y_ cos x, os x