Larson_Calculus_10e ch04sec04
MULTIPLE CHOICE
1. Evaluate the definite integral of the algebraic function.
Use a graphing utility to verify your results.
a.
148.5
b.
12
c.
79.5
d.
159
e.
15
2. Evaluate the definite integral . Use a graphing utility to verify your results.
a.
b.
c.
d.
e.
3. Evaluate the definite integral of a function . Use a graphing utility to verify your results.
a.
b.
c.
d.
e.
4. Evaluate the definite integral of the algebraic function.
Use a graphing utility to verify your results.
a.
b.
c.
d.
e.
5. Evaluate the definite integral of the algebraic function.
Use a graphing utility to verify your results.
a.
100
b.
–30
c.
196
d.
–99
e.
98
6. Evaluate the definite integral of the algebraic function.
Use a graphing utility to verify your results.
a.
–516
b.
516
c.
618
d.
1185
e.
–1974
7. Evaluate the definite integral of the function.
Use a graphing utility to verify your results.
a.
b.
c.
d.
e.
8. Determine the area of the given region.
a.
b.
c.
d.
e.
9. Determine the area of the given region.
a.
b.
c.
d.
e.
10. Find the area of the region bounded by the graphs of the equations . Round
your answer to the nearest whole number.
a.
768
b.
96
c.
49
d.
72
e.
16
11. Find the average value of the function over the interval .
a.
–152
b.
–52
c.
148
d.
248
e.
–252
12. Find the average value of the function over the given interval and all values t in the interval for which
the function equals its average value.
Use a graphing utility to verify your results.
a.
The average is and the point at which the function is equal to its mean value is .
b.
The average is and the point at which the function is equal to its mean value is
and .
c.
The average is and the point at which the function is equal to its mean value is .
d.
The average is and the point at which the function is equal to its mean value is .
e.
The average is and the point at which the function is equal to its mean value is
and .
13. Find the average value of on the interval .
a.
b.
35
c.
d.
e.
40
14. Determine all values of in the interval for which the function equals its
average value .
a.
b.
c.
d.
e.
15. The force (in newtons) of a hydraulic cylinder in a press is proportional to the square of
where is the distance (in meters) that the cylinder is extended in its cycle. The domain of is
and . Find as a function of .
a.
b.
c.
d.
e.
16. The force (in newtons) of a hydraulic cylinder in a press is proportional to the square of
where is the distance (in meters) that the cylinder is extended in its cycle. The domain of is
and . Find the average force exerted by the press over the interval .
Round your answer to the nearest whole number.
a.
221 newtons
b.
110 newtons
c.
540 newtons
d.
180 newtons
e.
662 newtons
17. The volume in liters of air in the lungs during a five-second respiratory cycle is approximated by
1.8776 liter
2.0094 liter
0.4004 liter
d.
0.8148 liter
e.
0.5220 liter
18. Find given
.
a.
b.
c.
d.
e.
19. Find given
.
a.
b.
c.
d.
e.
20. Find given
.
a.
b.
c.
d.
e.