Multiple Choice
Identify the
choice that best completes the statement or answers the question.
|
|
|
1.
|
Find  .
a. |  =
2 | b. |  =  | c. | 
= 12 | d. |  =
1 | e. |  =
–2 |
|
|
|
2.
|
a. | –72 | b. | 25 | c. | –144 | d. | limit does not
exist | e. | 324 |
|
|
|
3.
|
Find the limit (if it exists). Use a graphing
utility to verify your result graphically.
|
|
|
4.
|
Find the limit (if it exists). Use a graphing
utility to verify your result graphically.
|
|
|
5.
|
Algebraically evaluate the limit (if it exists) by
the appropriate technique(s).
|
|
|
6.
|
Find  .
|
|
|
7.
|
Find a formula for the
slope of the graph of  at the point  . Then use it
to find the slope at the given point.
|
|
|
8.
|
Select a graph of the
function and the tangent line at the point  .
|
|
|
9.
|
Find the derivative of
the function.
|
|
|
10.
|
Complete the table for
 over  .
|
|
|
11.
|
Find the limit (if it exists).
a. |  | b. |  | c. | 3 | d. | –3 | e. | Does not
exist |
|
|
|
12.
|
Find the limit (if it exists).
a. | – | b. | 0 | c. |  | d. | 5 | e. | Does not
exist |
|
|
|
13.
|
Find the limit (if it exists).
a. | 7 | b. |  | c. |  | d. | –7 | e. | Does not
exist |
|
|
|
14.
|
Select the correct graph of the following
function.
|
|
|
15.
|
Find the first five terms of the
sequence.
a. |  1, 
 ,   ,   ,   | b. |  1,   ,   ,   ,   | c. |  1,   ,   ,   ,   | d. |  1,   ,   ,   ,   | e. |   ,   ,   ,   ,   |
|
|
|
16.
|
Evaluate the sum using the summation formula and
property.
a. | 285 | b. | 385 | c. | 585 | d. | 185 | e. | 485 |
|
|
|
17.
|
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 | | | | | | | | | | | | | |
(Round the answer to two decimal places.)
|
|
|
18.
|
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 | | | | | | | | | | | | | |
(Round the answer to two decimal places.)
|
|
|
19.
|
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.
a. |  20 square
units | b. |  22 square
units | c. |  24 square
units | d. |  16 square
units | e. |  18 square
units |
|
|
|
20.
|
Evaluate
using
the summation formulas and properties.
a. | 105,621 | b. | 105,525 | c. | 103,125 | d. | 105,625 | e. | 83,525 |
|