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AP Calculus Slides February 6, 2008

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Darren Kuropatwa
Darren Kuropatwa

Introduction to solids of revolution.

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How to build a solid ... Revolving Cube
Find the area between the curves ...
Find the area between the curves ...
Find the area between the curves ...
Find the area between the curves ...
Volume of a Cone
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.
AP Calculus Slides February 6, 2008

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AP Calculus Slides February 6, 2008

  • 1. How to build a solid ... Revolving Cube
  • 2. Find the area between the curves ...
  • 3. Find the area between the curves ...
  • 4.
  • 5. Find the area between the curves ...
  • 6. Find the area between the curves ...
  • 7.
  • 9.
  • 10.
  • 11. 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.