Volumes Worksheet 6.3 - Calculus Maximus Page 4
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11Calculus Maximus
WS 6.3: Volumes
Free Response
x
7. (Calculator Permitted) Let R be the region bounded by the graphs of y
x
,
y
e
, and the y-axis.
(a) Find the area of R.
y .
(b) Find the volume of the solid generated when R is revolved about the line
1
(c) The region R is the base of a solid. For this solid, each cross section perpendicular to the x-axis is a
x
semicircle whose diameter runs from the graph of y
x
to the graph of
y
e
. Find the volume
of this solid.
Page 4 of 11
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