Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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Evaluate the following expression without using a calculator. 
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2.
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Solve each of the following equations for  . 
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3.
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Solve each of the following equations for  . 
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4.
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Solve the following equation for  . 
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5.
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Solve the following equation for  . 
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6.
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Solve the following equation for  . 
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7.
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Find  if  .
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8.
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Find  if  .
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9.
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Find  if  .
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10.
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Find  if  .
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11.
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Find an equation of the tangent line to the graph of  at the point
 .
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12.
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Find an equation of the tangent line to the graph of  at the point
 .
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13.
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Use logarithmic differentiation to find  . 
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14.
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Find the indefinite integral. 
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15.
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Find the following indefinite integral. 
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16.
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If the annual rate of inflation averages  over the
next  years, the approximate cost  of goods or services during any year in that decade is  where
 is the time in years and  is the present cost. The price of an oil change for your car is presently  . Estimate the price  years from now. Round your answer to two
decimal places. a. | $26.30 | b. | $30.67 | c. | $78.89 | d. | $25.61 | e. | $94.31 |
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17.
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If the annual rate of inflation averages  over the
next  years, the approximate cost  of goods or services during any year in that decade is  where
 is the time in years and  is the present cost. The price of an oil change for your car is presently  . Find the rate of change of  with respect to  when  . Round your answer to three decimal
places. a. | 32.176 dollars per year | b. | 1.966 dollars per year | c. | 2.293 dollars per
year | d. | 5.962 dollars per year | e. | 32.730 dollars per
year |
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18.
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Suppose that  was invested at an annual rate of  percent compounded  times per year. Determine the balance in the
account after  years for each of the following values of
 (  corresponds to continuous
compounding of interest).
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19.
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Determine the balance of an account after 25 years where 
and  compounded continuously. Round your answer to
the nearest cent. a. | $28,773.01 | b. | $14,386.51 | c. | $5,997.19 | d. | $7,095.34 | e. | $82,788.63 |
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20.
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The yield  (in millions of cubic feet per acre) for
a stand of timber at age  is  where
 is measured in years. Find the limiting
volume of wood per acre as  approaches infinity. Round your answer to
one decimal place. a. | 9.5 million ft3/acre | b. | 4.8 million
ft3/acre | c. | 18.5 million
ft3/acre | d. | 18.3 million
ft3/acre | e. | 6.8 million
ft3/acre |
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21.
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The yield  (in millions of cubic feet per acre) for
a stand of timber at age  is  where
 is measured in years. Find the rates at
which the yield is changing when  years. Round your answer to three decimal
places.. a. | 0.035 (million ft3/acre)/year | b. | 0.044 (million
ft3/acre)/year | c. | 0.079 (million
ft3/acre)/year | d. | 0.053 (million
ft3/acre)/year | e. | 0.016 (million
ft3/acre)/year |
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22.
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A lake is stocked with  fish, and their population
increases according to the logistic curve  where  is measured in months. At what rate is the fish population changing at the end of 3
months? Round your answer to one decimal place. a. | 79.9 fish per month | b. | 126.6 fish per month | c. | 253.2 fish per
month | d. | 123.9 fish per month | e. | 159.7 fish per
month |
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