Larson_Calculus_10e ch14sec05
MULTIPLE CHOICE
1. Find the area of the portion of the surface that lies above the triangular region with
vertices , and .
a.
4
b.
36
c.
18
d.
162
e.
324
2. Find the area of the surface given by over the region R.
R: square with vertices
a.
b.
c.
d.
e.
3. Find the area of the surface given by over the region R.
R: square with vertices
a.
b.
c.
d.
e.
4. Find the area of the portion of the surface that lies above the region
.
a.
72
b.
36
c.
d.
e.
5. Find the area of the surface given by over the region R.
R: rectangle with vertices
a.
b.
c.
d.
e.
6. Find the area of the portion of the surface that lies above the region
. Round your answer to two decimal places.
a.
0.05
b.
2.18
c.
11.97
d.
1.22
e.
12.51
7. Find the area of the portion of the surface that lies above the region
. Round your answer to two decimal places.
a.
9.29
b.
18.58
c.
69.20
d.
5.33
e.
0.65
8. Find the area of the surface given by over the region R.
a.
b.
c.
d.
e.
9. Find the area of the portion of the surface that lies above the region
. Round your answer to two decimal places.
a.
144.00
b.
118.44
c.
904.78
d.
452.39
e.
1,421.22
10. Find the area of the surface of the portion of the plane
in the first octant.
a.
b.
c.
d.
e.
11. Find the area of the surface for the portion of the paraboloid in the first
octant.
a.
b.
c.
d.
e.
12. Find the area of the surface for the portion of the sphere inside the cylinder
.
a.
b.
c.
d.
e.
13. Write a double integral that represents the surface area of over the region R:
triangle with vertices . Use a computer algebra system to evaluate the double
integral. Round your answer to two decimal places.
a.
b.
c.
d.
e.
14. Write a double integral that represents the surface area of over the region R:
. Use a computer algebra system to evaluate the double integral.
Round your answer to four decimal places.
a.
b.
c.
d.
e.
15. Set up a double integral that gives the area of the surface of the graph of f over the region R.
a.
b.
c.
d.
e.
16. Set up a double integral that gives the area of the surface on the graph of
over the region .
a.
b.
c.
d.
e.
17. Set up a double integral that gives the area of the surface of the graph of f over the region R.
a.
b.
c.
d.
e.
18. A company produces a spherical object of radius 17 centimeters. A hole of radius 7 centimeters is
drilled through the center of the object. Find the volume of the object.
a.
b.
c.
d.
e.
19. A company produces a spherical object of radius 24 centimeters. A hole of radius 5 centimeters is
drilled through the center of the object. Find the outer surface area of the object.
a.
cm3
b.
cm3
c.
cm3
d.
cm3
e.
cm3