Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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Write the form of the partial fraction decomposition for the following rational
expression. 
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2.
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Write the form of the partial fraction decomposition for the following rational
expression. 
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3.
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Write the form of the partial fraction decomposition for the following rational
expression. 
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4.
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Use partial fractions to find  .
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5.
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Use partial fractions to find the integral  .
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6.
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Use partial fractions to find the integral  .
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7.
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Use partial fractions to find  .
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8.
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Use partial fractions to find the integral  .
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9.
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Use partial fractions to find  .
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10.
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Evaluate the definite integral  .
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11.
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Use substitution to find the integral  .
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12.
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The predicted cost C (in hundreds of thousands of dollars) for a company
to remove p% of a chemical from its waste water is shown in the table below. A model for the
data is given by  . Use the model to find the average cost for
removing between 75% and 80% of the chemical. | p | 0 | 10 | 20 | 30 | 40 | 50 | 60 | 70 | 80 | 90 | | C | 0 | 0.6 | 1 | 1.3 | 1.6 | 2 | 2.6 | 3.5 | 5.3 | 10.3 | | | | | | | | | | | |
a. | $470,000 | b. | $235,000 | c. | $117,500 | d. | $470,001 | e. | $940,000 |
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13.
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Evaluate the definite integral  .
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14.
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Use substitution and partial fractions to find the indefinite integral.  .
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15.
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Find the area of the region bounded by the graphs of  , y =
0, x = 0, and x = 1. a. | A =  | b. | A =  | c. | A =  | d. | A =  | e. | A =  |
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