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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
