Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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Find the general solution of the differential equation below and check the
result by differentiation. 
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2.
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Find the general solution of the differential equation below and check the
result by differentiation. 
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3.
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Find the indefinite integral  . a. |  | b. |  | c. |  | d. |  | e. | none of the above |
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4.
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Find the indefinite integral  .
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5.
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Find the indefinite integral  .
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6.
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Find the indefinite integral  .
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7.
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Find the indefinite integral  .
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8.
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Find the indefinite integral and check the result by
differentiation. 
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9.
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Find the indefinite integral  .
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10.
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Find the indefinite integral  .
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11.
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Find the indefinite integral  .
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12.
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An evergreen nursery usually sells a certain shrub after 
years of growth and shaping. The growth rate during those  years is approximated by
 , where t is the time in years and
h is the height in centimeters. The seedlings are  centimeters tall when
planted  . Find the height after t years.
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13.
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An evergreen nursery usually sells a certain shrub after 
years of growth and shaping. The growth rate during those  years is approximated by
 , where t is the time in years and
h is the height in centimeters. The seedlings are  centimeters tall when
planted  . How tall are the shrubs when they are sold?
a. |  cm | b. | 
cm | c. |  cm | d. | 
cm | e. |  cm |
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14.
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The rate of growth  of a population of bacteria is proportional
to the square root of t, where P is the population size and t is the time in
days  . That is,  . The initial
size of the population is  . After one day the population has grown to
 . Estimate the population after 
days. Round your answer to the nearest integer. a. |  bacteria | b. | 
bacteria | c. |  bacteria | d. |  bacteria | e. | 
bacteria |
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15.
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A ball is thrown vertically upwards from a height of  ft with an
initial velocity of  ft per second. How high will the ball go?
Note that the acceleration of the ball is given by  feet per second per
second. a. |  ft | b. | 
ft | c. |  ft | d. | 
ft | e. |  ft |
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16.
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The maker of an automobile advertises that it takes  seconds to
accelerate from  kilometers per hour to 
kilometers per hour. Assuming constant acceleration, compute the acceleration in meters per second
per second. Round your answer to three decimal places. a. |  m/sec2 | b. | 
m/sec2 | c. | 
m/sec2 | d. | 
m/sec2 | e. | 
m/sec2 |
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17.
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The maker of an automobile advertises that it takes  seconds to
accelerate from  kilometers per hour to 
kilometers per hour. Assuming constant acceleration, compute the distance, in meters, the car travels
during the  seconds. Round your answer to two decimal
places.
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