Larson_Calculus_10e ch04sec05
MULTIPLE CHOICE
1. Find the indefinite integral .
a.
b.
c.
d.
e.
2. Find the indefinite integral .
a.
b.
c.
d.
e.
3. Find the indefinite integral .
a.
b.
c.
d.
e.
4. Find the indefinite integral of the following function and check the result by differentiation.
a.
b.
c.
d.
e.
5. Find the indefinite integral of the following function and check the result by differentiation.
a.
b.
c.
d.
e.
6. Find the indefinite integral of the following function and check the result by differentiation.
a.
b.
c.
d.
e.
7. Solve the differential equation.
a.
b.
c.
d.
e.
8. Solve the differential equation.
a.
b.
c.
d.
e.
9. Find the indefinite integral of the following function.
a.
b.
c.
d.
+ C
e.
10. Find the indefinite integral of the following function.
a.
b.
c.
d.
e.
11. Find the indefinite integral .
a.
b.
c.
d.
e.
12. Find the indefinite integral of the following function.
a.
b.
c.
d.
e.
13. Evaluate the following definite integral.
Use a graphing utility to check your answer.
a.
b.
c.
d.
e.
14. The rate of depreciation of a machine is inversely proportional to the square of where V is
the value of the machine t years after it was purchased. The initial value of the machine was
and its value decreased in the first year. Estimate its value after 3 years. Round your answer
to the nearest integer.
a.
$500,000
b.
$175,000
c.
$275,000
d.
$650,000
e.
$550,000
15. The sales S (in thousands of units) of a seasonal product are given by the model
where t is the time in months, with corresponding to January. Find the
average sales for the first quarter . Round your answer to three decimal places.
a.
131.598 thousand units
b.
92.442 thousand units
c.
74.859 thousand units
d.
102.479 thousand units
e.
92.924 thousand units
16. The oscillating current in an electrical circuit is where I is measured in
amperes and t is measured in seconds. Find the average current for the time interval . Round
your answer to three decimal places.
a.
2.273 amps
b.
1.273 amps
c.
0.637 amps
d.
2.546 amps
e.
1.637 amps
17. Suppose that the probability that a person will remember between 100a% and 100b% of material
learned in an experiment is where x represents the proportion remembered.
Determine from the figure below, the probability that a randomly chosen individual will recall between
50% and 55% of the material? Express your answer as a percent rounded to three decimal places.
a.
39.000%
b.
6.800%
c.
1.600%
d.
47.800%
e.
85.300%
18. A manufacturer of fertilizer finds that national sales of fertilizer follow the seasonal pattern
where F is measured in pounds and t represents the time in days,
with corresponding to January 1. The manufacturer wants to set up a schedule to produce a
uniform amount of fertilizer each day. What should this amount be?
a.
600,000 lbs
b.
300,000 lbs
c.
2,400,000 lbs
d.
150,000 lbs
e.
1,200,000 lbs