Deck 4: Section 6: Applications of Differentiation

Question 1

The graph of a function f is is shown below. Sketch the graph of the derivative .

A)
B)
C)
D)
E)

Answer 1

Question 2

The graph of f is shown below. For which values of x is zero?

A)
B)
C)
D)
E)

Answer 2

Question 3

The graph of a function f is is shown below. Sketch the graph of the derivative .

A)
B)
C)
D)
E)

Answer 3

Question 4

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)

Question 5

The graph of a function f is is shown below. Sketch the graph of the derivative .

A)
B)
C)
D)
E)

Question 6

Sketch a graph of the function over the interval .

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B)
C)
D)
E)

Question 7

Analyze and sketch a graph of the function .

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B)
C)
D)
E)

Question 8

Analyze and sketch a graph of the function .

A)
B)
C)
D)
E)

Question 9

The graph of f is shown below. For which value of x is minimum?

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B)
C)
D)
E)

Question 10

Determine the slant asymptote of the graph of .

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B)
C)
D)
E) no slant asymptotes

Question 11

Analyze and sketch a graph of the function .

A)
B)
C)
D)
E)

Question 12

The graph of f is shown below. For which value of x is zero?

A)
B)
C)
D)
E)

Question 13

The graph of f is shown below. On what interval is an increasing function?

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B)
C)
D)
E)

Question 14

Analyze and sketch a graph of the function .

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B)
C)
D)
E)

Question 15

Analyze and sketch a graph of the function .

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B)
C)
D)
E)

Question 16

Analyze and sketch a graph of the function .

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B)
C)
D)
E) none of the above

Question 17

Analyze the graph of the function . Determine any intercepts, relative extrema, points of inflection and asymptotes. Also determine where the graph is increasing or decreasing and concave up or concave down. Then identify the graph from the choices below.

A)
B)
C)
D)
E)

Question 18

Sketch a graph of the function over the interval .

A)
B)
C)
D)
E)

Question 19

Analyze and sketch a graph of the function .

A)
B)
C)
D)
E)

Question 20

The graph of a function f is is shown below. Sketch the graph of the derivative .

A)
B)
C)
D)
E)

Question 21

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.

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B)
C)
D)
E)

Question 22

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)