July 23, 2017

Find the indefinite integral of the following function and check the result by

differentiation.

A)

B)

C)

D)

E)

Use the properties of logarithms to write the expression as a single logarithm.

A)

B)

C)

D)

E)

Use a table utility with x-values larger than 10,000 to investigate .What does

the table indicate about

A)

B)

C)

D) 0

E) does not exist

The annual spending by tourists in a resort city is 300 million dollars. Approximately

50% of that revenue is again spent in the resort city, and of that amount approximately

50% is again spent in the resort city. If this pattern continues, write the geometric series

that gives the total amount of spending generated by the 300 million dollars (including

the initial outlay of 300 million dollars) and find the sum of the series.

A) The geometric series is .

The sum of the series is 600.00 million.

B) The geometric series is .

The sum of the series is 15,000 million.

C) The geometric series is .

The sum of the series is 600.00 million.

D) The geometric series is .

The sum of the series is 15,000 million.

E) The geometric series is .

The sum of the series is 150.00 million.

Evaluate without using a calculator, leaving the answers in exact form.

A)

B)

C) 0

D)

E)

The demand function for a product is modeled by . Find the

price of the product if the quantity demanded is x = 200. Round your answer to two

decimal places where applicable.

A) 547.90

B) 2282.47

C) 727.73

D) 738.03

E) 2272.27

Use the Ratio Test to determine the convergence or divergence of the series.

A) converges

B) diverges

C) Ratio Test is inconclusive

Determine the convergence or divergence of the following p-series.

A) The series converges.

B) The series diverges.

Carbon-14(14C) dating assumes that the carbon on the Earth today has the same

radioactive content as it did centuries ago. If this is true, then the amount of 14C

absorbed by a tree that grew several centuries ago should be the same as the amount of

14C absorbed by a similar tree today. A piece of ancient charcoal contains only 18% as

much of the radioactive carbon as a piece of modern charcoal. How long ago was the

tree burned to make the ancient charcoal? (The half-life of 14C is 5715 years.) Round

your answer to the nearest integer.

A) 2,310 years

B) 33,123 years

C) 2,315 years

D) 14,139 years

E) 14,144 years

Sketch the graph of the function .

A)

B)

C)

D)

E)

Find the indefinite integral.

A)

B)

C)

D)

E)

The graph of f is shown in the figure. Sketch a graph of the derivative of f.

A)

B)

C)

D)

E)

Find the absolute extrema of the function on the interval .

A) The maximum of the function is 1 and the minimum of the function is 0.

B) The maximum of the function is 0 and the minimum of the function is "10.

C) The maximum of the function is "10 and the minimum of the function is 0.

D) The maximum of the function is 10 and the minimum of the function is 0.

E) The maximum of the function is 0 and the minimum of the function is 10.

Match the function below with the correct graph.

A)

B)

C)

D)

E)

Evaluate the double integral .

A)

B)

C)

D)

E)

Find the derivative of the following function.

A)

B)

C)

D)

E)

Find a function that satisfies the conditions .

A)

B)

C)

D)

E)

Use the fifth-degree Taylor polynomial centered at c = 2 for the function to

approximate . Round your answer to nearest ten thousandth.

A) 0.5165

B) 0.5267

C) 0.5067

D) 0.4055

E) 0.4306

Find the second derivative of the function .

A)

B)

C)

D)

E)

The average typing speed N (in words per minute) after t weeks of lessons is modeled

by . Find the rate at which the typing speed is changing when t = 20

weeks. Round your answer to two decimal places.

A) 1.75 words/min/week

B) 2.36 words/min/week

C) 2.85 words/min/week

D) 4.59 words/min/week

E) 5.38 words/min/week

Find the slope of the graph at the given point.

A) 0

B) 3

C) 5

D) 4

E) 7

Locate the absolute extrema of the given function on the closed interval ["36,36].

A) absolute max: f(6) = 3

B) absolute min: f(-6) = "3

C) no absolute max

D) no absolute min

E) both A and D

F) both A and B

Find the limit.

A)

B) 7

C) "7

D)

E)

Determine whether the statement is true or false. If it is false, explain why or give an

example that shows it is false. A linear regression model with a positive correlation will

have a slope that is greater than 0.

A) True

B) False

Suppose that the annual rate of inflation averages 4% over the next 10 years. With this

rate of inflation, the approximate cost C of goods or services during any year in that

decade will be given by C(t) = P(1.04)t, 0 10 where t is time in years and P is the

present cost. If the price of an oil change for your car is presently 22.95, estimate the

price 9 years from now. Round your answer to two decimal places.

A) 33.97

B) 34.67

C) 35.97

D) 37.67

E) 32.67

Evaluate the integral .

A)

B)

C)

D)

E)

Match the function with one of the following graphs.

A)

B)

C)

D)

E)

Find if

A)

B)

C)

D)

E)

Give an example of a sequence that converges to .

A)

B)

C)

D)

E)

Find the limit of the following sequence.

A)

B) 1

C) 2

D)

E) The sequence diverges.

Test the series for convergence or divergence using any appropriate test.

A) diverges

B) converges