Chapter 7 Test
February 3, 2004
No Calculators
Name
1.
Find the area of the region bounded by the graphs of the equations y
=
1
and
y
=
sin
2
x
from
x
=
−π
ccccccc
2
to x
=
π
cccc
2
.
2.
Find the volume of the solid generated by revolving the region bounded by x
=
1
cccc
3
y, 2
y
=
x, and
x
=
2 about the x
−
axis.
3.
Find the volume of the solid generated by revolving the region bounded by the graphs of the equations
x
=−
è!!!
y, y
−
3
=
2
x, and x
=
0 about the y
−
axis.
4.
A solid has as its base the region in the xy
−
plane determined by the graph of the ellipse,
x
2
+
4
y
2
=
4. Every cross
−
section by a plane perpendicular to the y
−
axis is a quarter circle, with
radius in the base. Find the volume of the solid.
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View Full Document5.
Find the length of the curve for y
=
I
9
−
x
2
ccc
3
M
3
ccc
2
from x
=
1t
ox
=
8.
6.
A trough has a height of 4 feet, is 10 feet long, and has trapezoidal sides. The top base for the
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 Spring '09
 ANDERSON
 Math, Equations, Euclidean geometry, 2 pounds

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