July 23, 2017

Find the indicated derivative. Find

A)

B)

C)

D)

E)

Find the extrema of the function .

A) (0, 1)

B) , (0, 0)

C)

D) no relative extrema

E)

The probability of recall in an experiment is modeled by

where x is the percent of recall. What is the

probability of recalling between 60% and 90%? Round your answer to three decimal

places.

A) 0.432

B) 0.270

C) 0.710

D) 0.219

E) 0.936

Use the properties of logarithms to expand .

A)

B)

C)

D)

E)

Find the general solution of the first-order linear differential equation.

A)

B)

C)

D)

E)

Approximate, to three decimal places, the x-value of the point of intersection of the

graphs of f(x) and g(x). Round your answer to three decimal places.

A) 0.572

B) 0.562

C) 0.567

D) 0.517

E) 0.617

Use the integration to find the general solution of the differential equation .

A)

B)

C)

D)

E)

What is the resulting balance if $6800 is invested for 5 years at an annual rate of 12%

compounded monthly?

A) 7146.87

B) 7662.41

C) 10,880.00

D) 12,353.54

E) 40,062.90

Apply Taylor's Theorem to find the power series centered at for the function

.

A)

B)

C)

D)

E)

Use Newton's Method to find the point on the graph of that is closest to

the point . Round your answer to three decimal places.

A)

B)

C)

D)

E)

Use the graph to sketch the graph of .

A)

B)

C)

D)

E)

Find the derivative of the function and simplify your answer by using the

trigonometric identities.

A)

B)

C)

D)

E)

Find the second derivative for the function and solve the

equation .

A) "1

B) 4

C) 0

D) 18

E) 20

A company produces a new product for which it estimates the annual sales to be 7000

units. Suppose that in any given year % of the units (regardless of age) will become

inoperative. How many units will be in use after n years?

A)

B)

C)

D)

E)

Analyze and sketch a graph of the function .

A)

B)

C)

D)

E)

Use the Horizontal Line Test to determine whether the functions are one-to-one.

A) f(x) and g(x) both are one-to-one.

B) f(x) is not one-to-one and g(x) is one-to-one.

C) f(x) and g(x) both are not one-to-one.

D) f(x) is one-to-one and g(x) is not one-to-one.

What percent of a present amount of radioactive radium will remain after 900

years?

A) 45%

B) 25%

C) 65%

D) 68%.

For the function , use a graphing utility to complete the table and

estimate the limit as x approaches infinity.

x 100 101 102 103 104 105 106

f(x)

A) "0.525

B) 1.375

C) 0.125

D) 2.555

E) does not exist

Identify and for the integral .

A) and

B) and

C) and

D) and

E) and

Sketch a graph of the probability distribution. 0 1 2 3 4

0 1 2 3 4

A)

B)

C)

D)

E)

A manufacturer estimates the Cobb-Douglas production function to be given by

.

Estimate the production levels when and .

A) 135,540 units

B) 122,560 units

C) 131,601 units

D) 145,330 units

E) 112,745 units

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

A)

B)

C) 0

D) "1

E)