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Stewart_Calc_7ET ch05sec04
MULTIPLE CHOICE
1. Find the general indefinite integral.
a.
b.
c.
d.
e.
2. Evaluate the integral.
a.
b.
c.
d.
e.
3. An animal population is increasing at a rate of per year (where t is measured in
years). By how much does the animal population increase between the fourth and tenth
years?
a.
b.
c.
d.
e.
4. Evaluate the integral.
a.
b.
c.
d.
e.
5. The marginal cost of manufacturing x yards of a certain fabric is
in dollars per yard. Find the increase in cost if the production level is raised from
yards to yards.
a.
b.
c.
d.
e.
6. The acceleration function (in m/ ) and the initial velocity are given for a particle moving
along a line. Find the velocity at time t and the distance traveled during the given time
interval.
a.
b.
c.
d.
e.
7. Evaluate the integral.
a.
b.
c.
d.
e.
8. The velocity function (in meters per second) is given for a particle moving along a line. Find
the distance traveled by the particle during the given time interval.
a.
36 m
b.
72 m
c.
100 m
d.
64 m
e.
68 m
9. The velocity of a car was read from its speedometer at ten-second intervals and recorded in
the table. Use the Midpoint Rule to estimate the distance traveled by the car.
0
0
60
10
70
20
80
30
90
40
100
50
a.
1.2 miles
b.
1.8 miles
c.
0.8 miles
d.
2.4 miles
e.
0.6 miles
10. Estimate the area from 0 to 5 under the graph of using five approximating
rectangles and right endpoints.
a.
b.
c.
d.
e.
11. Evaluate the integral if it exists.
a.
b.
c.
d.
e.
none of these
12. The area of the region that lies to the right of the y-axis and to the left of the parabola
(the shaded region in the figure) is given by the integral .
Find the area..
a.
b.
c.
d.
e.
2 4 6 8–2 x
2
4
6
8
10
–2
y
13. If is a child's rate of growth in pounds per year, which of the following expressions
represents the increase in the child's weight (in pounds) between the years and ?
a.
b.
c.
1. Find the area of the region that lies to the right of the y-axis and to the left of the parabola
.
2. An animal population is increasing at a rate of per year (where t is measured in
years). By how much does the animal population increase between the fourth and tenth
years?
3. Evaluate the integral if it exists.
