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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
