AP Calculus Chapter 7 (Disk and Shell Method)

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  1. Find the functions

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    f(x)= x + 1; g(x)= (x - 1)2
  2. area of the shaded region
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    Image Upload(x+1)-(x-1)2 dx
  3. volume of region rotated around the x axis
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    πImage Upload(x+1)2 -(x-1)2dx
  4. volume of the region rotated around the y axis
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    Image Uploadx[(x+1)-(x-1)2]dx
  5. Volume of the region rotated around the line y=8
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    πImage Upload[8-(x-1)2]2-[8-(x+1)]2dx
  6. volume of the region rotated around y=-4
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    πImage Upload[(x+1)+4]2-[(x-1)2+4)2dx
  7. Volume of the region rotated around x=-3
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    Image Upload(x+3)[(x+1)-(x-1)2]dx
  8. volume of the region rotated around x=11
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    Image Upload(11-x)[(x+1)-(x-1)2]dx
  9. volume of the cross section of the region formed by semi-circles
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    (π/8)Image Upload[(x+1)-(x-1)2]2dx
  10. Volume of cross section of the region formed by equilarteral triangles
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  11. Volume of cross section of the region formed by right isosceles tringles where the leg is the base
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  12. volume of cross section of the region formed by right isosceles triangles where the hypotenuse is the base
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  13. volume of cross section of the region formed by squares
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  14. Find the functions in terms of y
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    • f(y)= y2
    • g(y)= y+2
  15. area of the shaded region
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  16. volume of region rotated around the x axis
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  17. volume of the region rotated around the y axis
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  18. volume of the region rotated around the line y=8
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  19. volume of the region rotated around y=-4
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  20. volume of the region rotated around x=-3
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  21. volume of the region rotated around x=11
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  22. volume of cross section of the region formed by semi-circles
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  23. volume of cross section of the region formed by equilateral triangles
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  24. volume of cross section of the region formed by right isosceles triangles where the leg is the base
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  25. volume of cross section of the region formed by right isosceles triangles where the hypotenuse is the base
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  26. volume of cross section of the region formed by squares
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Author:
winterburger
ID:
142385
Card Set:
AP Calculus Chapter 7 (Disk and Shell Method)
Updated:
2012-03-19 21:00:59
Tags:
AP Calculus Chapter Disk Method Shell
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Description:
Flashcards for chapter 7
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