Concept explainers
(a).
To calculate: The liberation point
(a).
Answer to Problem 34E
The location points are
Explanation of Solution
Given information:
The x -coordinate of
where
Formula used:
Newton’s Method:
We seek a solution of
For
Formula:
Law of cosine
Calculation:
Consider the equation ,
Now, let initial approximation be
For
The second approximation is
Following with the iterations after 14 iterations will get the approximate value of x .
Hence , the location for liberation points are :-
(b).
To calculate: The liberation point
(b).
Answer to Problem 34E
The location points are
Explanation of Solution
Given information:
The x -coordinate of
where
Formula used:
Newton’s Method:
We seek a solution of
For
Formula:
Law of cosine
Calculation:
Consider the equation ,
Now, let initial approximation be
For
The second approximation is
The third approximation is
Hence , the locations of the libration points are :
Chapter 4 Solutions
Single Variable Calculus: Concepts and Contexts, Enhanced Edition
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning