a.
To state: The reason why some graphs of
a.
Answer to Problem 70E
The reason is the minor difference in the numerator is and the value being subtracted.
Explanation of Solution
Given information:
The given statement says to state the reason why some graphs of
The reason about why some graphs of
For example at
Therefore, the ultimate reason is that the difference in the numerator is so small when compared to the value being subtracted.
b.
To state: The reason why tables may give false information about
b.
Answer to Problem 70E
The reason is the minor difference in the numerator is and the value being subtracted.
Explanation of Solution
Given information:
The given statement says to reason why tables may give false information about
The reason about why the table may give false information about
Therefore, the ultimate reason is that the difference in the numerator is so small when compared to the value being subtracted.
c.
To state: The value of
c.
Answer to Problem 70E
The resultant answer is
Explanation of Solution
Given information:
The given information is
Find the value of
It can be seen that substituting
It can be seen that substituting
Therefore, the value is
d.
To state: The statement in one’s own words “this is an example of a function for which
d.
Answer to Problem 70E
Because of the round-off error in computing values of this function on a limited precision device,
Explanation of Solution
Given information:
The given statement says to write to the statement in one’s own words “this is an example of a function for which
The graph and/or table of a graph show the value of the function to be 0 for x - value moderately close to 0, but the limit is
The calculator is giving unreliable information because there is significant round-off error in computing values of this function on a limited precision device.
Therefore,
Chapter 8 Solutions
AP CALCULUS TEST PREP-WORKBOOK
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- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning