Larson_Calculus_10e ch05sec04
MULTIPLE CHOICE
1. Solve the following equation for .
a.
b.
c.
d.
e.
2. Solve the following equation for .
a.
b.
c.
d.
e.
3. Solve the following equation for .
a.
b.
c.
d.
e.
4. Solve the following equation for .
a.
x
b.
c.
d.
e.
5. Find an equation of the tangent line to the graph of at the point .
a.
b.
c.
d.
e.
6. Differentiate the function .
a.
b.
c.
d.
e.
7. Find if .
a.
8
b.
c.
d.
e.
8. Find the derivative of the function .
a.
b.
c.
d.
e.
9. Find if .
a.
b.
c.
d.
e.
10. Differentiate the function .
a.
b.
c.
d.
e.
11. Find the derivative of the function . Simplify your answer.
a.
b.
c.
d.
e.
12. Find the derivative of the function . Simplify your answer.
a.
b.
c.
d.
e.
13. Find if
a.
b.
c.
d.
e.
14. Use implicit differentiation to find
a.
b.
c.
d.
e.
15. Find if .
a.
b.
c.
d.
e.
16. Find all points of inflection on the graph of the function .
a.
b.
c.
d.
e.
17. The value V (in dollars) of an item t years after it is purchased is . Find
the rate of change of V with respect to t when . Round your answer to two decimal places.
a.
–3,115.72 dollars/year
b.
–1,944.61 dollars/year
c.
3,115.72 dollars/year
d.
–1,836.5 dollars/year
e.
1,944.61 dollars/year
18. A meteorologist measures the atmospheric pressure P (in kilograms per square meter) at altitude h (in
kilometers). The data are shown below. Use the regression capabilities of the graphing utility to find a
linear model for the revised data points obtained by plotting the points
a.
b.
c.
d.
e.
19. A meteorologist measures the atmospheric pressure P (in kilograms per square meter) at altitude h (in
kilometers). The data are shown below. Find the rate of change of the pressure with respect to altitude
when using the relation . Round your answer to one decimal
place.
a.
b.
c.
d.
e.
20. The table lists the approximate value V of a mid-sized sedan for the years 2003 through 2009. The
variable t represents the time in years, with corresponding to 2003. Use the regression
capabilities of a graphing utility to fit an exponential model to the data. Round all numerical values in
your answer to four decimal places. Your answer may be slightly different depending on the number of
digits your graphing utility uses in computations.
a.
b.
c.
d.
e.
21. The table lists the approximate value V of a mid-sized sedan for the years 2003 through 2009. The
variable t represents the time in years, with corresponding to 2003. Find the rate of change in the
value of the sedan when using the exponential model . Round your
answer to two decimal places.
a.
b.
c.
d.
e.
22. Find the indefinite integral.
a.
b.
c.
d.
e.
23. Find the indefinite integral.
a.
b.
c.
d.
e.
24. Evaluate the definite integral.
a.
b.
c.
d.
e.
25. Evaluate the definite integral.
a.
b.
c.
d.
e.
26. Find the indefinite integral
a.
b.
c.
d.
e.
1
32
1
32
1
32
27. A valve on a storage tank is opened for 4 hours to release a chemical in a manufacturing process. The
flow rate R (in liters per hour) at time t (in hours) is given by the linear model
. Write the linear model in exponential form.
a.
b.
c.
d.
e.
28. A valve on a storage tank is opened for 3 hours to release a chemical in a manufacturing process. The
flow rate R (in liters per hour) at time t (in hours) is given by the exponential model
Use the definite integral to approximate the number of liters of chemical
released during the first 3 hours. Round your answer to two decimal places.
a.
1,594.86 liters
b.
1,222.68 liters
c.
1,887.64 liters
d.
1,732.19 liters
e.
1,340.70 liters