Multiple Choice Identify the
choice that best completes the statement or answers the question.
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1.
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Select the correct graph for the following function
using a graphing utility.
![mc001-1.jpg](chapter_12_post_tes_files/mc001-1.jpg)
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2.
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Use the given information to evaluate the
limit.
![mc002-1.jpg](chapter_12_post_tes_files/mc002-1.jpg)
![mc002-2.jpg](chapter_12_post_tes_files/mc002-2.jpg)
a. |
–66 | b. |
11 | c. |
–65 | d. |
–64 | e. |
–6 |
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3.
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Find the limit by direct substitution.
![mc003-1.jpg](chapter_12_post_tes_files/mc003-1.jpg)
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4.
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Find the limit by direct substitution. Round your
answer to two decimal places.
![mc004-1.jpg](chapter_12_post_tes_files/mc004-1.jpg)
a. | =
8103.08 | b. | =
2.72 | c. | = ![mc004-5.jpg](chapter_12_post_tes_files/mc004-5.jpg) | d. |
= 20.09 | e. | =
–20.09 |
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5.
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Complete the table and use the result to
estimate numerically.
x | –7.1 | –7.01 | –7.001 | –7 | –6.999 | –6.99 | –6.9 | f(x) | | | | ? | | | | | | | | | | | |
a. | ![mc005-2.jpg](chapter_12_post_tes_files/mc005-2.jpg) | b. | –11 | c. | 11 | d. | ¥ | e. | limit does not
exist |
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6.
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Use the graph to find
![mc006-1.jpg](chapter_12_post_tes_files/mc006-1.jpg)
![mc006-2.jpg](chapter_12_post_tes_files/mc006-2.jpg)
a. | limit does not exist | b. | 3 | c. | ¥ | d. | ![mc006-3.jpg](chapter_12_post_tes_files/mc006-3.jpg) | e. | 0 |
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7.
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Use the limit process
to find the slope of the graph of the function at the specified point. Use a graphing utility to
confirm your result.
![mc007-1.jpg](chapter_12_post_tes_files/mc007-1.jpg)
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8.
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Find a formula for the
slope of the graph of at the point . Then use it
to find the slope at the given point.
![mc008-3.jpg](chapter_12_post_tes_files/mc008-3.jpg)
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9.
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Select a graph of the
function and the tangent line at the point .
![mc009-2.jpg](chapter_12_post_tes_files/mc009-2.jpg)
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10.
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Find the derivative of
the function.
![mc010-1.jpg](chapter_12_post_tes_files/mc010-1.jpg)
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11.
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Find the limit (if it exists).
![mc011-1.jpg](chapter_12_post_tes_files/mc011-1.jpg)
a. | 12 | b. | 7 | c. | –7 | d. | 5 | e. | Does not
exist |
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12.
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Find the limit (if it exists).
![mc012-1.jpg](chapter_12_post_tes_files/mc012-1.jpg)
a. | ![mc012-2.jpg](chapter_12_post_tes_files/mc012-2.jpg) | b. | ![mc012-3.jpg](chapter_12_post_tes_files/mc012-3.jpg) | c. | –![mc012-4.jpg](chapter_12_post_tes_files/mc012-4.jpg) | d. | –![mc012-5.jpg](chapter_12_post_tes_files/mc012-5.jpg) | e. | Does not exist |
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13.
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Find the limit (if it exists).
![mc013-1.jpg](chapter_12_post_tes_files/mc013-1.jpg)
a. | ![mc013-2.jpg](chapter_12_post_tes_files/mc013-2.jpg) | b. | –![mc013-3.jpg](chapter_12_post_tes_files/mc013-3.jpg) | c. | ![mc013-4.jpg](chapter_12_post_tes_files/mc013-4.jpg) | d. | –![mc013-5.jpg](chapter_12_post_tes_files/mc013-5.jpg) | e. | Does not exist |
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14.
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Find the first five terms of the
sequence.
![mc014-1.jpg](chapter_12_post_tes_files/mc014-1.jpg)
a. | , , , , ![mc014-11.jpg](chapter_12_post_tes_files/mc014-11.jpg) | b. | , , , , ![mc014-21.jpg](chapter_12_post_tes_files/mc014-21.jpg) | c. | , , , , ![mc014-31.jpg](chapter_12_post_tes_files/mc014-31.jpg) | d. | , , , , ![mc014-41.jpg](chapter_12_post_tes_files/mc014-41.jpg) | e. | , , , , ![mc014-51.jpg](chapter_12_post_tes_files/mc014-51.jpg) |
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15.
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Complete the table and numerically estimate the
limit as x approaches infinity for the following function.
![mc015-1.jpg](chapter_12_post_tes_files/mc015-1.jpg)
Select the correct
answer.
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16.
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17.
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Complete the table using the function , over the specified interval to approximate the area of the region bounded
by the graph of , the x-axis, and the vertical lines
and using the
indicated number of rectangles. Then find the exact area as .
n | 4 | 8 | 20 | 50 | 100 | | Approximate area | | | | | | | | | | | | | |
![mc017-8.jpg](chapter_12_post_tes_files/mc017-8.jpg)
(Round the answer to two decimal places.)
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18.
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Use the limit process to find the area of the
region between the graph of the function and the x-axis over the specified
interval.
![mc018-1.jpg](chapter_12_post_tes_files/mc018-1.jpg)
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19.
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Use the limit process to find the area of the
region between the graph of the function and the x-axis over the specified
interval.
![mc019-1.jpg](chapter_12_post_tes_files/mc019-1.jpg)
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20.
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Use the limit process to find the area of the
region between and the x-axis on the interval .
a. | 228 | b. | 108 | c. | 180 | d. | 408 | e. | 188 |
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