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30 Dec 2021
Problem 32c
Page 627
Section 8.8: Application of Taylor Polynomials
Chapter 8: Infinite Sequences and Series
Textbook ExpertVerified Tutor
30 Dec 2021
Given information
The given inequalities for the period of pendulum is
where and is the acceleration due to gravity
Step-by-step explanation
Step 1.
We know that
When , we have
Substitute in the given Inequality
When , we have
Substituting , the inequality becomes
Now compute the following estimate
Which is close enough to the time period when