AP Calculus Slides February 6, 2008

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How to build a solid ... Revolving Cube

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Introduction to solids of revolution.

Transcript of AP Calculus Slides February 6, 2008

Page 1: AP Calculus Slides February 6, 2008

How to build a solid ...

Revolving Cube

http://flickr.com/photos/tarunkant/1135758690/
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Find the area between the curves ...

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Find the area between the curves ...

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Find the area between the curves ...

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Find the area between the curves ...

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Volume of a Cone

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Any function rotated about the x-axis will have circular cross sections and it's volume can be found by:

In General:

A(x) is the function representing the changing areas

... so you need a function that represents r.

With circular cross sections

Page 12: AP Calculus Slides February 6, 2008

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