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Student’s Name:
MAC231117, Review Set for Chapter 6
6.1
: 3, 5, 6
3)
Sketch the region enclosed by the given curves. Decide whether to integrate with
respect to
x
or
y
. Draw a typical approximating rectangle and label its height and width.
Then find the area
S
of the region.
S
=
5)
Find the area
S
of the region bounded by the parabola
y
=
2
x
2
, the tangent line to this
parabola at (
1
,
2
), and the
x
axis.
S
=
6)
Sketch the region enclosed by the given curves. Decide whether to integrate with
respect to
x
or
y
. Draw a typical approximating rectangle and label its height and width.
Then find the area
S
of the region.
S
=
6.2
: 1, 2, 3, 4, 5
1
)
Consider the solid obtained by rotating the region bounded by the given curves
about the
x
axis.
Find the volume
V
of this solid.
V
=
Sketch the region, the solid, and a typical disk or washer.
2
) Consider the solid obtained by rotating the region bounded by the given
curves about the
x
axis.
Find the volume
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 Fall '08
 Noohi
 Calculus

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