Larson_Calculus_10e ch08sec08
MULTIPLE CHOICE
1. Determine whether the improper integral diverges or converges. Evaluate the integral
if it converges.
a.
b.
c.
d.
e.
diverges
2. Determine whether the improper integral diverges or converges. Evaluate the integral if it
converges.
a.
b.
c.
d.
e.
diverges
3. Determine whether the improper integral diverges or converges. Evaluate the integral if it
converges.
a.
b.
c.
d.
e.
diverges
4. Determine whether the improper integral diverges or converges. Evaluate the integral
if it converges.
a.
18
b.
9
c.
d.
3
e.
diverges
5. Determine whether the improper integral diverges or converges. Evaluate the integral if
it converges.
a.
b.
c.
d.
e.
diverges
6. Determine whether the improper integral diverges or converges. Evaluate the integral if it
converges.
a.
b.
7. Determine whether the improper integral diverges or converges.
a.
b.
8. Determine whether the improper integral diverges or converges. Evaluate the integral if
it converges.
a.
b.
c.
d.
e.
diverges
9. Determine whether the improper integral diverges or converges.
a.
b.
10. Determine whether the improper integral diverges or converges. Evaluate the integral
if it converges.
a.
b.
c.
d.
e.
diverges
11. Determine whether the improper integral diverges or converges. Evaluate the
integral if it converges.
a.
b.
c.
diverges
d.
e.
12. Find the area between the x-axis and the graph of the function .
a.
b.
c.
d.
e.
13. Suppose the capitalized cost C is given by where is the original
investment, t is the time in years, r is the annual interest rate compounded continuously, and is
the annual cost of maintenance. Find the capitalized cost C of an asset forever if
. Round your answer to the nearest dollar.
a.
b.
c.
d.
e.
14. Suppose the capitalized cost C is given by where is the original
investment, t is the time in years, r is the annual interest rate compounded continuously, and is
the annual cost of maintenance. Find the capitalized cost C of an asset forever if
. Round your answer to the nearest dollar.
a.
681,400
b.
1,753,400
c.
1,799,511
d.
681,420
e.
15. Determine whether the improper integral diverges or converges. Evaluate the integral if it
converges.
a.
3
b.
2
c.
1
d.
e.
diverges