# AP Calculus Chapter 7 (Disk and Shell Method)

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 Author: winterburger ID: 142385 Filename: AP Calculus Chapter 7 (Disk and Shell Method) Updated: 2012-03-19 17:00:59 Tags: AP Calculus Chapter Disk Method Shell Folders: Description: Flashcards for chapter 7 Show Answers:

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1. Find the functions

f(x)= x + 1; g(x)= (x - 1)2
2. area of the shaded region
(x+1)-(x-1)2 dx
3. volume of region rotated around the x axis
π(x+1)2 -(x-1)2dx
4. volume of the region rotated around the y axis
x[(x+1)-(x-1)2]dx
5. Volume of the region rotated around the line y=8
π[8-(x-1)2]2-[8-(x+1)]2dx
6. volume of the region rotated around y=-4
π[(x+1)+4]2-[(x-1)2+4)2dx
7. Volume of the region rotated around x=-3
(x+3)[(x+1)-(x-1)2]dx
8. volume of the region rotated around x=11
(11-x)[(x+1)-(x-1)2]dx
9. volume of the cross section of the region formed by semi-circles
(π/8)[(x+1)-(x-1)2]2dx
10. Volume of cross section of the region formed by equilarteral triangles
11. Volume of cross section of the region formed by right isosceles tringles where the leg is the base
12. volume of cross section of the region formed by right isosceles triangles where the hypotenuse is the base
13. volume of cross section of the region formed by squares
14. Find the functions in terms of y
• f(y)= y2
• g(y)= y+2
15. area of the shaded region
16. volume of region rotated around the x axis
17. volume of the region rotated around the y axis
18. volume of the region rotated around the line y=8
19. volume of the region rotated around y=-4
20. volume of the region rotated around x=-3
21. volume of the region rotated around x=11
22. volume of cross section of the region formed by semi-circles
23. volume of cross section of the region formed by equilateral triangles
24. volume of cross section of the region formed by right isosceles triangles where the leg is the base
25. volume of cross section of the region formed by right isosceles triangles where the hypotenuse is the base
26. volume of cross section of the region formed by squares

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