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Find the second derivative for the function and solve the equation
.
A) 0
B) 7
C) no solution
D) "7
E)
Find the capitalized cost C of an asset forever. The capitalized cost is given by
where is the original investment, t is the time in
years, r = 12% is the annual interest rate compounded continuously, n is the total time
in years over which the asset is capitalized, and is the annual
cost of maintenance (measured in dollars). Round your answer to two decimal places.
A) $1,525,000.00
B) $1,275,000.00
C) $1,108,333.33
D) $1,299,218.75
E) $1,247,222.22
Write the equation of the line passing through the given pair of points.
and
A)
B)
C)
D)
E)
What lump sum should be deposited in an account that will earn at an annual rate of
10%, compounded quarterly, to grow to $180,000 for retirement in 35 years?
A) $177,957.47
B) $5514.93
C) $12,000.00
D) $40,000.00
E) $5674.55
Use the chemical reaction model described to find the amount y (in grams) as a function
of time t (in hours). Then use a graphing utility to graph the function. grams
when ; grams when
A)
B)
C)
D)
E)
Write the equation of the line through that is perpendicular to
A)
B)
C)
D)
E)
Find the third degree Taylor polynomial centered at c = 4 for the function.
A)
B)
C)
D)
E)
The cost of producing x units of a product is modeled by
. Find the average cost function .
A)
B)
C)
D)
E)
Use algebra to rewrite the integrand; then integrate and simplify.
A)
B)
C)
D)
E)
The daily demand for gasoline (in millions of gallons) in a city is described by the
probability density function over the interval . Find the probability
that the daily demand for gasoline will be at least 3 million gallons.
A) 0.444
B) 0.111
C) 0.174
D) 0.340
E) 0.250
Evaluate the integral
A)
B)
C)
D)
E)
Find the slope of the tangent line to the graph of the function at the given
point.
A)
B)
C)
D)
E) none of the above
Examine the function given below for relative extrema and saddle points.
A) The function has a saddle point at .
B) The function has a relative maximum at .
C) The function has a relative minimum at .
D) The function has a saddle point at .
E) The function has a relative maximum at .
Use the initial condition to find the particular solution of the differential equation.
, when
A)
B)
C)
D)
E)
Determine the convergence or divergence of the series.
A) diverges
B) converges
C) inconclusive
Use the graph of and the given c-value to find .
A)
B) "5
C) "7
D) 3
E) does not exist
Use the graph to sketch the graph of .
A)
B)
C)
D)
E)
The rate of change in the number of subscribers to a newly introduced magazine is
modeled by where is the time in years. Use Simpson's Rule
with to estimate the total increase in the number of subscribers during the first 6
years.
A) 1870 subscribers
B) 1780 subscribers
C) 1800 subscribers
D) 1878 subscribers
E) 1987 subscribers
Find the particular solution that satisfies the initial condition.
;
Initial Condition: when
A)
B)
C)
D)
E)
Find the third derivative.
A)
B)
C)
D)
E)
Find the period and amplitude of the function .
A) period: ; amplitude: 6
B) period: ; amplitude: 3
C) period: ; amplitude: 3
D) period: ; amplitude: 6
E) period: ; amplitude: 3
Use the point on a line having slope to find two additional points through
which the line passes.
A)
B)
C)
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. When the correlation coefficient is , the
model is a good fit.
A) False
B) True
The marginal cost of a product is modeled by , when x = 3, C = 90. Find
the cost function.
A)
B)
C)
D)
E)
Write the equation of the line that passes through the given point and has the slope
indicated.
with slope
A)
B)
C)
D)
E)
If the total revenue function for a blender is find the maximum
revenue.
A) $450
B) $8125
C) $45
D) $250
E) $10,125
Write the expression as the logarithm of a single quantity.
A)
B)
C)
D)
E)
Find the derivative of the following function.
A)
B)
C)
D)
E)
Sketch the graph of the relation using any extrema, intercepts, symmetry, and
asymptotes.
A)
B)
C)
D)
E)
A guy wire is stretched from a broadcasting tower at a point 300 feet above the ground
to an anchor 175 feet from the base (see figure). How long is the wire?
A) 347.31 feet
B) 173.66 feet
C) 243.67 feet
D) 121.83 feet
E) 237.50 feet
Find if .
A)
B)
C)
D)
E)
Compare dy and for at x = 0 with dx = 0.09. Give your answers to four
decimal places.
A) dy = 0.0200 ; = "0.0002
B) dy = "0.0100 ; = "0.0001
C) dy = "0.0300 ; = 0.0000
D) dy = 0.0000 ; = 0.0001
E) dy = 0.0200 ; = 0.0000
Find the derivative of the following function using the limiting
process.
A)
B)
C)
D)
E) none of the above
