Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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Set up the definite integral that gives the area of the region bounded by the
graph of  and  . 
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2.
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Find the area of the region bounded by the equations by integrating (i) with
respect to x and (ii) with respect to y. 
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3.
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Find the area of the region bounded by equations by integrating (i) with respect
to x and (ii) with respect to y. 
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4.
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Find the area of the region bounded by the graphs of the algebraic
functions. 
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5.
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Find the area of the region bounded by the graphs of the algebraic
functions. 
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6.
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Find the area of the region bounded by the graphs of the algebraic
functions. 
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7.
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Find the area of the region bounded by the graphs of the algebraic
functions. 
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8.
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Find the area of the region bounded by the graphs of the equations. 
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9.
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Find the area of the region bounded by the graphs of the function  . Round your answer to three decimal places. a. | 20.723 | b. | 11.182 | c. | 6.238 | d. | 10.362 | e. | 22.364 |
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10.
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Find the area of the region bounded by the graphs of the function   . Round your answer to three decimal
places. a. | 0.260 | b. | 0.289 | c. | 0.416 | d. | 0.139 | e. | 0.462 |
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11.
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Find the area of the region bounded by the graphs of the equations.  .
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12.
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If the accumulation function  is given by  , evaluate 
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13.
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Suppose that  and  model the
revenue (in billions of dollars) for a large corporation. The model  gives
projected annual revenues from 2008 through 2015, with  corresponding to 2008, and
 gives projected revenues if there is a
decrease in the rate of growth of corporate sales over the period. Approximate the total reduction in
revenue if corporate sales are actually closer to the model  . Round your
answer to three decimal places. a. | $3.570 billion | b. | $24.990 billion | c. | $19.763
billion | d. | $29.645 billion | e. | $12.495 billion |
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14.
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The chief financial officer of a company reports that profits for the past
fiscal year were $  million. The officer predicts that profits
for the next 7 years will grow at a continuous annual rate somewhere between  %
and 6%. Estimate the cumulative difference in total profit over the 7 years based on the predicted
range of growth rates. Round your answer to three decimal places. a. | $445.736 billion | b. | $30.221 billion | c. | $7.023
billion | d. | $18.710 billion | e. | $57.880 billion |
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15.
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The surface of a machine part is the region between the graphs of  and  as shown in the figure. Find k if the
parabola is tangent to the graph of  . Round your answer to three decimal
places.  a. | 3.125 | b. | 0.160 | c. | 0.080 | d. | 0.320 | e. | 6.250 |
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16.
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The surface of a machine part is the region between the graphs of  and  as shown in the figure. Find the area of the
surface of the machine part. Round your answer to five decimal places.  a. | 1.66667 | b. | 0.41667 | c. | 0.01333 | d. | 33.33333 | e. | 8.33333 |
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17.
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Concrete sections for the new building have the dimensions (in meters) and shape
as shown in the figure (the picture is not necessarily drawn to scale). Find the area of the face of
the section superimposed on the rectangular coordinate system. Round your answer to three decimal
places.  a. | 25.031  | b. | 31.075  | c. | 29.151  | d. | 30.515  | e. | 28.031  |
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18.
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Concrete sections for the new building have the dimensions (in meters) and shape
as shown in the figure (the picture is not necessarily drawn to scale). One cubic meter of concrete
weighs 4320 pounds. Find the weight of the section. Round your answer to the nearest
pound.  a. | 268,492 pounds | b. | 263,654 pounds | c. | 216,267
pounds | d. | 242,187 pounds | e. | 251,865 pounds |
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