AP Calculus Slides February 6, 2008

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Introduction to solids of revolution.

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AP Calculus Slides February 6, 2008

  1. 1. How to build a solid ... Revolving Cube
  2. 2. Find the area between the curves ...
  3. 3. Find the area between the curves ...
  4. 4. Find the area between the curves ...
  5. 5. Find the area between the curves ...
  6. 6. Volume of a Cone
  7. 7. In General: Any function rotated about the x-axis will have circular cross sections and it's volume can be found by: A(x) is the function With circular cross sections representing the changing areas ... so you need a function that represents r.

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