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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
, we have
Substitute 
in the given Inequality
in the given Inequality
When
, we have
, we have
Substituting 
, the inequality becomes
, the inequality becomes
Now compute the following estimate
Which is close enough to the time period when 
Single Variable Calculus: Early Transcendentals
4th Edition, 2018
Stewart
ISBN: 9781337687805
Solutions
Chapter
Section
- Problem 1a
- Problem 1b
- Problem 1c
- Problem 2a
- Problem 2b
- Problem 2c
- Problem 3
- Problem 4
- Problem 5
- Problem 6
- Problem 7
- Problem 8
- Problem 9
- Problem 10
- Problem 11a
- Problem 11b
- Problem 12a
- Problem 12b
- Problem 13a
- Problem 13b
- Problem 14a
- Problem 14b
- Problem 15a
- Problem 15a
- Problem 15b
- Problem 16a
- Problem 16a
- Problem 16a
- Problem 16b
- Problem 17a
- Problem 17b
- Problem 18a
- Problem 18b
- Problem 19
- Problem 20
- Problem 21
- Problem 22
- Problem 22
- Problem 23
- Problem 24
- Problem 25
- Problem 26
- Problem 27
- Problem 28a
- Problem 28b
- Problem 29
- Problem 30a
- Problem 30b
- Problem 30c
- Problem 31a
- Problem 31b
- Problem 31c
- Problem 32a
- Problem 32b
- Problem 32b
- Problem 32c
- Problem 33