Chapter 7 Test
February 1, 2006
No Calculators
Name
1. Find the area of the region bounded by the graphs of the equations
4 x
+
y
2
=
0
and
2 x
−
y
=−
4.
2. Find the volume of the solid generated by revolving the region bounded by the graphs of the equations
x
=
y
2
and
x
=
2
−
y
2
about the y
−
axis.
3. Find the volume of the solid generated by revolving the region bounded by the graphs of the equations
y
=
è!!!
x,
y
x
2
+
2
and
x
=
0
about the
x
−
axis.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document4. A solid has as its base the region in the xy
−
plane determined by the graphs of the equation
x
2
+
y
2
=
25.
Every cross
−
section by a plane perpendicular to the x
−
axis is an isosceles triangle,
with height of 4 inches. The side of the triangle that is not congruent to the other two is the base
in the xy
−
plane. Find the volume of the solid.
5. Find the length of the arc for
f
H
x
L
=
−
1
ccccccc
4x
−
1
cccc
3
x
3
from
i
k
j
j
2,
−
67
ccccccccc
24
y
{
z
z
to
i
k
j
j
3,
−
109
cccccccccccc
12
y
{
z
z
.
This is the end of the preview.
Sign up
to
access the rest of the document.
 Spring '09
 ANDERSON
 Math, Equations, xy − plane, feet Hsee diagramL, right rectangular pyramid

Click to edit the document details