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AP Calculus AB March 4, 2009

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Solids of revolution along the y-axis, the method of cylindrical shells.

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Solids of Revolution Rotate-In-Time by ﬂickr user TheEverlastingFallout

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Page 1: AP Calculus AB March 4, 2009

Solids of Revolution

Rotate-In-Time by flickr user TheEverlastingFallout

Page 2: AP Calculus AB March 4, 2009

How would things be different if the function is revolved about the y-axis?

Page 3: AP Calculus AB March 4, 2009

How would things be different if the function is revolved about the y-axis?

source

Page 4: AP Calculus AB March 4, 2009

How would things be different if the function is revolved about the y-axis?

source

Page 5: AP Calculus AB March 4, 2009

How would things be different if the function is revolved about the y-axis?

source

Page 6: AP Calculus AB March 4, 2009

Consider the region S bounded between the graphs of the functions ƒ and g.

Find the volume of the solid generated by revolving S around the x-axis.

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