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Calculating Volumes
     or the Calculus of sushi




Sushi Lunch by flickr user Harris Graber
Let R and S be the regions in the first
quadrant shown in the figure above. The
region R is bounded by the x-axis and the
gr...
Let R be the region bounded by the the y-axis
and the graphs of the two functions shown in
the figure.

 (a) Find the area ...
AP Calculus Slides May 5, 2008
AP Calculus Slides May 5, 2008
AP Calculus Slides May 5, 2008
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AP Calculus Slides May 5, 2008

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Review of solids of revolution.

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AP Calculus Slides May 5, 2008

  1. 1. Calculating Volumes or the Calculus of sushi Sushi Lunch by flickr user Harris Graber
  2. 2. Let R and S be the regions in the first quadrant shown in the figure above. The region R is bounded by the x-axis and the graphs of y = 2 - x 3 and y = tan x . The region S is bounded by the y-axis and the graphs of y = 2 - x 3 and y = tan x. (a) Find the area of R. (b) Find the area of S. (c) Find the volume of the solid generated when S is revolved about the x-axis.
  3. 3. Let R be the region bounded by the the y-axis and the graphs of the two functions shown in the figure. (a) Find the area of R. (b) Find the volume of the solid generated when R is revolved about the x-axis. (c) The region R is the base of a solid. For this solid each cross section perpendicular to the x-axis is a square. Find the volume of the solid.

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