CAL 50207

Describe the domain and range of the function.

A) domain: The disk range: The interval (0,4)

B) domain: The disk range: The interval [0,4]

C) domain: The disk range: The interval [0,4)

D) domain: The disk range: The interval [0,4]

E) domain: The disk range: The interval [0,4)

Find the constant such that the function is a probability density function

over the interval .

A) 1

B)

C)

D)

E)

Which of the following is the correct graph of y = 2x " x2?

A)

B)

C)

D)

E)

If find

A)

B)

C)

D)

E)

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

A)

B)

C)

D)

E) does not exist

Find the standard deviation for the following probability distribution. Round your

answer to three decimal places.

A) 2.600

B) 1.562

C) 5.954

D) 2.440

E) 1.612

Find the critical points of the function , and, from

the form of the function, determine whether a relative maximum or a relative minimum

occurs at each point.

A) relative minima at , , , where and are

arbitrary real numbers

B) relative maxima at , , , where and are

arbitrary real numbers

C) relative minimum at

D) relative maximum at

E) no relative extrema

If

A)

B)

C)

D)

E)

Use the Midpoint Rule with n = 4 to approximate the area of the region bounded by the

graph of and the x-axis over the interval [0,1].

A) 3.7882

B) 3.3484

C) 3.5575

D) 4.3461

E) 3.3461

Write the equation of the line tangent to the graph of at

A)

B)

C)

D)

E)

Find the limit.

A)

B)

C)

D)

E)

Plot the points in the Cartesian plane.

A)

B)

C)

D)

E)

Sketch the graph of the equation: x = 3 " y2.

A)

B)

C)

D)

E)

The lengths of the edges of a cube are increasing at a rate of 8 ft/min. At what rate is the

surface area changing when the edges are 15 ft long?

A) 384 ft2/min

B) 1440 ft2/min

C) 720 ft2/min

D) 5760 ft2/min

E) 120 ft2/min

Find the slope of the graph at the given point.

A) 2

B) 0

C) 1

D) 3

E) 5

Find a linear equation that expresses the relationship between the temperature in

degrees Celsius and degrees Fahrenheit. Use the fact that water freezes at ( )

and boils at ( ). Use the equation to convert to Celsius.

A)

B)

C)

D)

E)

Estimate the surface area of the pond shown in the figure using the Midpoint Rule.

A)

B)

C)

D)

E)

Complete two iterations of Newtons Method for the function using the

initial guess 1.7.

A) 1.732463, 1.731851

B) 1.732493, 1.732251

C) 1.732493, 1.732151

D) 1.732353, 1.732051

E) 1.732143, 1.731951

Solve the exponential equation. Give the answer correct to 3 decimal places.

A) "2.734

B) "0.130

C) 1.841

D) "0.921

E) 5.468

Find the mean and median of .

A) mean: 36.00

median: 36.00

B) mean: 36.00

median: 0.11

C) mean: 6.00

median: 0.50

D) mean: 9.00

median: 9.00

E) mean: 0.50

median: 0.50

Find if

A)

B)

C)

D)

E)

Find the particular solution that satisfies the initial condition.

; Initial Condition: when

A)

B)

C)

D)

E)

Use Lagrange multipliers to find the given extremum. Assume that and are

positive. Minimize Constraint

A)

B)

C)

D)

E)

Determine whether is a solution of the differential equation

.

A)

B)

C)

D)

E)

Use the properties of logarithms to expand

A)

B)

C)

D)

E) none of the above

If the total revenue function for a blender is determine how many

units x must be sold to provide the maximum total revenue in dollars.

A) 2500

B) 1875

C) 50

D) 150

E) 100

Use the Log Rule to find the indefinite integral for .

A)

B)

C)

D)

E)

Use the hybrid selection model described to find the percent y (in decimal form) of the

population that has the indicated characteristics as a function of time t (in generations).

when ; when

A)

B)

C)

D)

E)

Assume that x and y are differentiable functions of t. Find dy/dt using the given values.

for

A) 288

B) 159

C) 318

D) 286

E) 143

Find the limit of the sequence .

A)

B)

C)

D)

E) The sequence diverges.

Find .

A)

B)

C)

D)

E)

Find the cosine of .

A)

B)

C)

D)

E)

A travel agency will plan a tour for groups of size or larger. If the group contains

exactly people, the price is per person. However, each person's price is

reduced by for each additional person above the . If the travel agency incurs a

price of per person for the tour, what size group will give the agency the

maximum profit?

A) 6

B) 38

C) 34

D) 52

E) 20

Find the x-value at which the given function has a point of inflection.

A)

B)

C)

D)

E) no point of inflection

Calculus: An Applied Approach (Textbooks Available with Cengage Youbook) 10th Edition