(a)
The series
(a)
Answer to Problem 63RE
The series is given as,
Explanation of Solution
Given information:
The Maclaurin series can be used to express the non-elementary signals in terms of series,
Formula used:
Calculation:
Maclaurin series generated by function sin x is given by
Replacing x by t2 in the above series,
Now, integrating term by term, observing that the constant term is zero,
Therefore,
Conclusion:
The series is given as,
(b)
The number of terms in
(b)
Answer to Problem 63RE
The degree is 7.
Explanation of Solution
Given information:
The given series is
Formula used:
Power series is used.
Calculation:
Since the third term is
It suffices to use the first two non-zero terms. That is, up to degree 7.
Conclusion:
The degree is 7.
(c)
The value of
(c)
Answer to Problem 63RE
The value is
Explanation of Solution
Given information:
The given series is
Formula used:
NINT method is used.
Calculation:
NINT
Conclusion:
The value is
(d)
To analyze: The four terms that is present in series.
(d)
Answer to Problem 63RE
The value is within
Explanation of Solution
Given information:
The series is
Calculation:
Using first four terms of series,
Therefore,
This is within
Conclusion:
The value is within
Chapter 10 Solutions
Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)
Additional Math Textbook Solutions
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
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