AP Calculus Slides February 8, 2008

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Darren Kuropatwa

More on solids of revolution.

Educação Tecnologia

More about
volumes of
revolution ...

Focault-pendel

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.

Let's look at another function ...

AP Calculus Slides February 8, 2008

AP Calculus Slides February 8, 2008

AP Calculus Slides February 8, 2008

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AP Calculus Slides February 8, 2008

1. More about volumes of revolution ... Focault-pendel

2.

3.

4.

5.

6.

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.

8.

9. Let's look at another function ...