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 definite integral of the algebraic function.  Use a graphing utility to verify your results.
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2.
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Find the average value of the function  over the
interval  . a. | –176 | b. | –276 | c. | 124 | d. | 224 | e. | –76 |
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3.
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Find the average value of  on the interval  .
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4.
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Determine all values of  in the interval
 for which the function 
equals its average value  .
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5.
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Determine the area of the given region .
 
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6.
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Evaluate the definite integral of the algebraic function.  Use a graphing utility to verify your results. a. | 30 | b. | –52 | c. | –120 | d. | –20 | e. | –60 |
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7.
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Evaluate the definite integral  . Use a graphing utility to
verify your results.
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8.
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The volume  in liters of air in the lungs during a
five-second respiratory cycle is approximated by the model  where
 is the time in seconds. Approximate the
average volume of air in the lungs during one cycle. Round your answer to four decimal
places. a. | 0.4218 liter | b. | 0.8370 liter | c. | 0.5437
liter | d. | 1.8642 liter | e. | 1.9966 liter |
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9.
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The force  (in newtons) of a hydraulic cylinder in a
press is proportional to the square of  where  is the
distance (in meters) that the cylinder is extended in its cycle. The domain of 
is  and  . Find the
average force exerted by the press over the interval  . Round your answer to the
nearest whole number. a. | 193 newtons | b. | 579 newtons | c. | 158
newtons | d. | 473 newtons | e. | 96 newtons |
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10.
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The force  (in newtons) of a hydraulic cylinder in a
press is proportional to the square of  where  is the
distance (in meters) that the cylinder is extended in its cycle. The domain of 
is  and  . Find
 as a function of  .
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11.
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Evaluate the definite integral of the function.  Use a graphing utility to verify your results.
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12.
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Find the average value of the function over the given interval and all values
x in the interval for which the function equals its average value.  Use a graphing utility to verify your results.
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13.
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Find the area of the region bounded by the graphs of the equations  . Round your answer to the nearest whole number.
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14.
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Find  given  .
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15.
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Find  given  .
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16.
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Determine the area of the given region.  
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17.
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Find  given  .
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18.
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Evaluate the definite integral of a function  . Use a
graphing utility to verify your results.
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19.
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Evaluate the definite integral of the algebraic function.  Use a graphing utility to verify your results. a. | 506 | b. | 250 | c. | 884 | d. | –250 | e. | –1222 |
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20.
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Evaluate the definite integral of the algebraic function.  Use a graphing utility to verify your results.
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