Larson_Calculus_10e ch14sec04
MULTIPLE CHOICE
1. Find the mass of the lamina described by the inequalities given that its density
is . (Hint: Some of the integrals are simpler in polar coordinates.)
a.
768
b.
128
c.
512
d.
256
e.
392
2. Find the mass of the lamina described by the inequalities given that its
density is . (Hint: Some of the integrals are simpler in polar coordinates.)
a.
b.
c.
d.
e.
3. Find the center of mass of the rectangular lamina with vertices and for
the density .
a.
b.
c.
d.
e.
4. Find the center of mass of the rectangular lamina with vertices
for the density .
a.
b.
c.
d.
e.
5. Find the mass of the triangular lamina with vertices for the density
.
a.
401k
b.
809k
c.
800k
d.
400k
e.
805k
6. Find the mass of the triangular lamina with vertices for the density
.
a.
139,968k
b.
279,946k
c.
139,958k
d.
139,973k
e.
279,936k
7. Find the mass of the lamina bounded by the graphs of the equations for the
density .
a.
b.
c.
d.
e.
8. Find the center of mass of the lamina bounded by the graphs of the equations
for the density .
a.
b.
c.
d.
e.
9. Find the center of mass of the lamina bounded by the graphs of the equations
for the density .
a.
b.
c.
d.
e.
10. Find the mass of the lamina bounded by the graphs of the equations
for the density .
a.
b.
c.
d.
e.
11. Find the center of mass of the lamina bounded by the graphs of the equations
for the density .
a.
b.
c.
d.
e.
12. Find the mass and center of mass of the lamina bounded by the graphs of the equations given below
for the given density.
a.
b.
c.
d.
e.
13. Find the mass of the lamina bounded by the graphs of the equations for
the density .
a.
b.
c.
d.
e.
14. Set up and evaluate a double integral required to find the moment of inertia, I, about the given line, of
the lamina bounded by the graphs of the following equations. Use a computer algebra system to
evaluate the double integral.
a.
b.
c.
d.
e.
15. Set up the double integral required to find the moment of inertia I, about the line of the lamina
bounded by the graphs of the equations for the density . Use a computer
algebra system to evaluate the double integral.
a.
b.
c.
d.
e.