Larson_Calculus_10e ch07sec04
MULTIPLE CHOICE
1. Find the arc length of the graph of the function over the interval [14, 16].
a.
b.
c.
d.
e.
2. Find the arc length of the graph of the function over the interval [0,6].
a.
b.
c.
d.
e.
3. Find the arc length of the graph of the function over the interval [1,2].
a.
b.
c.
d.
e.
4. Find the arc length of the graph of the function over the interval [1,64].
a.
b.
c.
d.
e.
5. Find the arc length of the graph of the function over the interval .
a.
b.
c.
d.
e.
6. Find the arc length of the graph of the function over the interval .
a.
b.
c.
d.
e.
7. Use the integration capabilities of a graphing utility to approximate the arc length of the graph of
on the interval . Round your answer to three decimal places.
a.
3.620
b.
5.020
c.
10.540
d.
3.820
e.
5.270
8. Electrical wires suspended between two towers form a catenary modeled by the equation
where x and y are measured in meters. The towers are 50 meters apart.
Find the length of the suspended cable. Round your answer to three decimal places.
a.
94.421m
b.
50.000 m
c.
64.077 m
d.
40.048 m
e.
47.211 m
9. A barn is 75 feet long and 50 feet wide. A cross section of the roof is the inverted catenary
. Find the number of square feet of roofing on the barn. Round your answer
to the nearest integer.
a.
4180 square feet
b.
4200 square feet
c.
2100 square feet
d.
1875 square feet
e.
3750 square feet
10. Find the arc length from clockwise to (2, ) along the circle . Round your
answer to four decimal places.
a.
4.1888
b.
0.2618
c.
0.1309
d.
1.8546
e.
2.0944
11. Find the area of the surface generated by revolving the curve about the x-axis.
.
a.
b.
2 3
c.
d.
e.
12. Find the area of the surface generated by revolving the curve about the x-axis.
.
a.
b.
c.
d.
e.
13. Set up and evaluate the definite integral for the area of the surface formed by revolving the graph of
about the x-axis.
a.
b.
c.
d.
e.
14. Find the area of the surface generated by revolving the curve about the y-axis.
a.
b.
c.
d.
e.
15. Set up and evaluate the definite integral for the area of the surface formed by revolving the graph of
about the y-axis. Round your answer to three decimal places.
a.
58.659
b.
117.319
c.
235.685
d.
5.323
e.
2.661
16. Find the area of the surface generated by revolving the curve about the y-axis.
.
a.
b.
c.
d.
e.
17. An ornamental light bulb is designed by revolving the graph of about the x-axis
where x and y are measured in feet. Approximate the amount of glass needed to make the bulb.
(Assume that the glass is 0.016 inches thick.) Round your answer to four decimal places.
a.
b.
c.
d.
e.
18. A bridge has a main span of about 1400 meters. Each of its towers has a height of about 146 meters.
Approximate the length of a parabolic cable along the main span if the length C of the cable is given
by . Round your answer to one decimal place.
a.
719.8 meters
b.
759.4 meters
c.
2120.7 meters
d.
1439.6 meters
e.
2879.2 meters
