July 23, 2017

Use a graphing utility to approximate all the real zeros of the function

by Newton's Method.

A) "2.031, 3.236, 9.571

B) "1.271, 2.028, 5.333

C) "1.351, "1.471, "1.151

D) "1.471, 3.236, 9.707

E) "1.991, 2.970, 9.571

The inventor of a new game believes that the variable cost for producing the game is

$0.97 per unit. The fixed cost is $5000. Find a formula for the average cost per unit

.

A)

B)

C)

D)

E)

Sketch the trace of the intersection of plane z = 4 with the sphere: .

A)

B)

C)

D)

E)

Sketch the graph of the plane given by y5.

A)

B)

C)

D)

E)

Evaluate the function at the given values of the independent variables.

A)

B)

C)

D)

E)

The profit (in dollars) from selling x units of calculus textbooks is given by

. Find the additional profit when the sales increase from 145

to 146 units. Round your answer to two decimal places.

A) $5.45

B) $20.00

C) $5.55

D) $11.00

E) $10.80

Determine whether the series is a p-series.

A) is not a series.

B) is a series.

Use Newtons Method to approximate the zero(s) of the function

accurate to three decimal places.

A) "0.596

B) 0.603

C) 0.596

D) "0.604

E) 0.591

Determine the convergence or divergence of the following series. Use a symbolic

algebra utility to verify your result.

A) The series converges.

B) The series diverges.

Examine the function for relative extrema and saddle points.

A) saddle point: ; relative minimum:

B) relative minimum: ; relative maximum:

C) saddle points: ,

D) saddle point: ; relative minimum:

E) relative minimum: ; relative maximum:

Use analytic methods to find the limit as for the given function.

A)

B)

C)

D)

E) does not exist

Find implicitly for

A)

B)

C)

D)

E)

Find the relative minima, and use a graphing utility to check your results.

A)

B)

C)

D)

E) does not exist

Find .

A)

B)

C)

D)

E)

Find the indefinite integral.

A)

B)

C)

D)

E)

Sketch the graph of the following probability density function and locate the mean on

the graph.

A)

mean : 1.5

B)

mean : 2.0

C)

mean : 4.0

D)

mean : 3.0

E)

mean : 4.0

A ball is thrown vertically upwards from a height of 10 ft with an initial velocity of 40

ft per second. How high will the ball go?

A) 85.0000 ft

B) 28.7500 ft

C) 35.0000 ft

D) 65.0000 ft

E) 88.6000 ft

Find for the equation by implicit differentiation and evaluate the

derivative at the point .

A)

B)

C)

D)

E) 0

Use any basic integration formula or formulas to find the indefinite integral

.

A)

B)

C)

D)

E)

Find the area of the equilateral triangle with sides of length in. Round your answer

to two decimal places.

A) 6.00 square inches

B) 27.71 square inches

C) 6.93 square inches

D) 8.00 square inches

E) 24.00 square inches

A firm can produce 100 units per week. If its total cost function is

dollars, and its total revenue function is dollars, how many units x

should it produce to maximize its profit?

A) 1850 units

B) 950 units

C) 94 units

D) 50 units

E) 100 units

Use separation of variables to find the general solution of the differential equation.

A)

B)

C)

D)

E)

A rancher plans to use an existing stone wall and the side of a barn as a boundary for

two adjacent rectangular corrals. Fencing for the perimeter costs 25 per foot. To

separate the corrals, a fence that costs 20 per foot will divide the region. The total area

of the two corrals is to be square feet. Use Lagrange multipliers to find the

dimensions that will minimize the cost of the fencing.

A) dimensions: feet by feet

B) dimensions: feet by feet

C) dimensions: feet by feet

D) dimensions: feet by feet

E) dimensions: feet by feet

A function and its graph are given. Use the graph to find the horizontal asymptotes, if

they exist, where Confirm your results analytically.

A)

B)

C)

D)

E) no horizontal asymptotes

Find the future value if $2900 is invested for 4 years at an annual rate of 10%

compounded quarterly.

A) 4640.00

B) 4284.62

C) 3201.06

D) 4245.89

E) 4305.07

Evaluate the following definite integral.

Use a graphing utility to check your answer.

A)

B)

C)

D)

E)

If is y a function of x?

A) Yes

B) No

Solve for the equation for .

A)

B)

C)

D)

E)

Assume that the rate of change in y is proportional to y. Solve the resulting differential

equation and find the particular solution that passes through the points

A)

B)

C)

D)

E)

The population density (in people per square mile) for a coastal town can be modeled

by where x and y are measured in miles. What is the population

inside the rectangular area defined by the vertices and ?

Round to the nearest integer.

A) 12,833 people

B) 32,500 people

C) 21,667 people

D) 11,833 people

E) 10,833 people

Sketch the graph of the function .

A)

B)

C)

D)

E)

Find an equation of the line that is tangent to the graph of f and parallel to the given

line.

A)

B)

C)

D)

E) none of the above

Find the equation of the tangent line to at the point (0,1).

A)

B)

C)

D)

E)

Locate the absolute extrema of the function on the closed interval

.

A) no absolute max; absolute min: f("1) = 5

B) absolute max: f(2) = "22 ; absolute min: f("1) = 5

C) absolute max: f("1) = 5 ; no absolute min

D) absolute max: f("1) = 5 ; absolute min: f(2) = "22

E) no absolute max or min