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1.
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(Non-Calc): At x = 0, which of the
following is true of the function f defined by  ?
a. | f is decreasing. | d. | f has a relative
minimum. | b. | f has a relative maximum. | e. | f is discontinuous. | c. | f is
increasing. |
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2.
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(Non-Calc): 
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3.
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(Non-Calc): 
a. | 2x | d. | 1 | b. |  | e. |  | c. | 2 |
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4.
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(Non-Calc): What is the average (mean) value
of  over the interval  ?
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5.
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(Non-Calc): For what value of k will
 have a relative maximum at x = -2?
a. | 2 | d. | None of these | b. | 4 | e. | -4 | c. | -2 |
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6.
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(Non-Calc): The graph of 
has a point of inflection at
a. | (3,162) only | d. | (4, 256) only | b. | (0,0) and (3,162) | e. | (0,0) and (4, 256) | c. | (0,0)
only |
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7.
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(Non-Calc): If  ,
then the value of  at x = 1 is
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8.
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(Calc-Allowed): Let f be the function given by  . For what
value of x is the slope of the line tangent to the graph of f at (x,
f(x)) equal to 3 ?
a. | 0.551 | d. | 0.276 | b. | 0.168 | e. | 0.342 | c. | 0.318 |
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9.
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(Calc-Allowed): Find the solution of
the differential equation  that satisfies the initial condition
y(0) = 8.
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10.
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(Calc-Allowed): Given that the position
of a particle moving along a straight line is given by s =  . On
what interval is the acceleration
positive?
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11.
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(Calc-Allowed): If y is a
function of x such that  for all x and 
all x, which of the following could be part of the graph of y=
f( x)?
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12.
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(Calc-Allowed): Find the volume of the
solid generated when the region bounded by the y-axis, y =  , and y = 2 is rotated
around the y -axis
a. | 3.998 | c. | 0.296 | e. | 0.592 | b. | 2.427 | d. | 27.577 |
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13.
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(Calc-Allowed): A body moves along a
straight line so that its velocity v at time t is given by v =  . Find
distance the body covers from t = 0 to t = 2.
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14.
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(Calc-Allowed): If the substitution x =
2t + 1 is used, which of the following is equivalent to 
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15.
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(Calc-Allowed): Which equation does the
function  satisfy?
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16.
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(Calc-Allowed): A 26-foot ladder leans
against a building so that its foot moves away from the building at the rate of 3 feet per
second. When the foot of the ladder is 10 feet from the building, the top is moving down at a
the rate of r feet per second, where r is
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17.
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(Calc-Allowed): Find the equation of
the curve, f(x) that passes through the point (1,1) and whose slope at (x , y) is 
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