Larson_Calculus_10e ch08sec05
MULTIPLE CHOICE
1. Write the form of the partial fraction decomposition for the following rational expression.
a.
b.
c.
d.
e.
2. Write the form of the partial fraction decomposition for the following rational expression.
a.
b.
c.
d.
e.
3. Write the form of the partial fraction decomposition for the following rational expression.
a.
b.
c.
d.
e.
4. Use partial fractions to find .
a.
b.
c.
d.
e.
5. Use partial fractions to find the integral .
a.
b.
c.
d.
e.
6. Use partial fractions to find the integral .
a.
b.
c.
d.
e.
7. Use partial fractions to find .
a.
b.
c.
d.
e.
8. Use partial fractions to find the integral .
a.
b.
c.
d.
e.
9. Use partial fractions to find .
a.
(1/ )arctan(x/ )
b.
c.
(1/ )arcsin(x/)+C
d.
e.
arctan(x/ )
10. Evaluate the definite integral .
a.
b.
c.
10
d.
e.
11. Use substitution to find the integral .
a.
b.
c.
d.
e.
12. The predicted cost C (in hundreds of thousands of dollars) for a company to remove p% of a chemical
from its waste water is shown in the table below. A model for the data is given by
C
0
0.6
1
1.3
1.6
2
2.6
3.5
5.3
10.3
a.
$470,000
b.
$235,000
c.
$117,500
d.
$470,001
e.
$940,000
13. Evaluate the definite integral
.
a.
b.
c.
d.
e.
14. Use substitution and partial fractions to find the indefinite integral.
.
a.
b.
c.
d.
e.
15. Find the area of the region bounded by the graphs of , y = 0, x = 0, and x = 1.
a.
A =
b.
A =
c.
A =
d.
A =
e.
A =