This preview shows pages 1–2. Sign up to view the full content.
Math 151 Spring 2008
Problem Set # 7: Volumes, Length and Surface Area
Starred Problems are due on Friday, March 7
Volumes by Slices or Cylindrical Shells
In problems 14, use
the method of disks
to determine the
volume
of the solid that is obtained
by revolving the region between the graph of
z
=
f
(
x
)
and the given interval about
the
x
axis.
1*.
f
(
x
)=
e
−
x
;[
−
ln (2)
,
ln (2)]
2.
f
(
x
)=sin
³
x
4
´
;[2
π,
3
π
]
3.
f
(
x
)=
r
x
x
2
+4
;
h
p
e
2
−
4
,
p
e
3
−
4
i
4*.
f
(
x
)=
r
1
x
2
+1
,
[
−
1
,
1]
.
In problems 5 and 6, use
the method of washers
to determine the
volume
of the solid that is
obtained by revolving the region between the graphs of
z
=
f
(
x
)
,
z
=
g
(
x
)
,
x
=
a
and
x
=
b
about
the
x
axis.
5.
f
(
x
)=
1
x
,g
(
x
)=
1
x
2
,x
=1
,x
=2
.
6*.
f
(
x
)=s
in(
x
)
,g
(
x
)=cos(
x
)
,x
=
π/
4
,x
=
π/
2
In problems 710, use
the method of cylindrical shells
to determine the
volume
of the solid
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
This is the end of the preview. Sign up
to
access the rest of the document.
 Winter '08
 Geveci
 Math

Click to edit the document details