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Find the radius of convergence of the power series.
A) 0
B) 10
C) 20
D) 100
E)
Write the general form of the equation of the circle with center and solution point
.
A)
B)
C)
D)
E)
Differentiate the given function.
A)
B)
C)
D)
E)
Find the x-values of all relative maxima of the given function.
A)
B)
C)
D)
E) no relative maxima
Write the the differential equation by separating the variables.
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)
In traveling across flat land, you notice a mountain directly in front of you. Its angle of
elevation (to the peak) is 4.5 . After you drive 13 miles closer to the mountain, the
angle of elevation is 11 . Approximate the height of the mountain. Round your answer
to two decimal places.
A) 45.50 miles
B) 8.84 miles
C) 1.94 miles
D) 1.72 miles
E) 17.69 miles
A deposit of $7500 is made in an account that pays 6% compounded every 5 months.
The amount in the account after years is , t. What are the
points of discontinuity of graph of ? (Here, the brackets indicate
the greatest integer function.)
A)
B)
C)
D)
E)
For the given function, find the critical numbers.
A)
B)
C)
D)
E)
To help their son buy a car on his 18th birthday, a boy's parents invest $1600 on his
12th birthday. If the investment pays an annual rate of 11% compounded continuously,
how much is available on his 18th birthday?
A) $3068.20
B) $3095.67
C) $2992.66
D) $2656.00
E) $22,421.13
Determine whether is a solution of the differential equation
.
A)
B)
C)
D)
E)
Use the Midpoint Rule with n = 4 to approximate the area of the following region.
A) 3
B) 8
C) 2
D) 1
E) 6
Use the sixth-degree Taylor polynomial centered at zero for the function
to approximate the integral . Round your answer to nearest
ten thousandth.
A) 0.7620
B) 0.7720
C) 1.0170
D) 0.7670
E) 0.5170
Find the indefinite integral.
A)
B)
C)
D)
E) none of the above
Suppose that and . Find the following limit:
A) "88
B) 19
C) 0
D) "3
E) "11
State the signs of and on the interval (0, 2).
A) = 0 > 0
B) < 0 < 0
C) > 0 > 0
D) < 0 > 0
E) > 0 < 0
Write the exponential equation as a logarithmic equation.
A)
B)
C)
D)
E)
Analyze and sketch a graph of the function .
A)
B)
C)
D)
E)
Use separation of variables to find the general solution of the differential equation.
A)
B)
C)
D)
E)
A baseball diamond has the shape of a square with sides 90 feet long (see figure). A
player running from second base to third base at a speed of 30 feet per second is 80 feet
from third base. At what rate is the player's distance s from home plate changing?
Round your answer to one decimal place.
A) "58.2 feet/second
B) "0.2 feet/second
C) "0.7 feet/second
D) "19.9 feet/second
E) "1.9 feet/second
Solve the following equation for accurate to three decimal places.
A)
B)
C)
D)
E)
Find the indefinite integral.
A)
B)
C)
D)
E)
A graph of is shown and a c-value is given. For this problem, use the graph to
find .
A) 0
B) 2
C) "6
D) "4
E) does not exist
Find an equation of the line that passes through the points and .
A)
B)
C)
D)
E)
Use the graph of to identify at which of the indicated points the derivative
changes from positive to negative.
A) (5,6)
B) (-1,2), (5,6)
C) (2,4)
D) (2,4), (5,6)
E) (-1,2)
Examine the function for relative extrema.
A) relative maximum at
B) saddle point at
C) relative maximum at
D) relative minimum at
E) relative maximum at
Find dy/dx for the following equation:
A)
B)
C)
D)
E)
Find an equation of the tangent line to the graph of f at the given point.
at
A)
B)
C)
D)
E)
Find the indefinite integral and check the result by differentiation.
A)
B)
C)
D)
E)
