To calculate: The roots of the curve,
Answer to Problem 31E
The roots are
Explanation of Solution
Given information:
The parabola
Formula used:
Newton’s Method:
We seek a solution of
For
Distance Formula :-
Calculation:
Consider the parabola ,
Let the point on the parabola is
The distance formula from point
The minimum distance without the square root will be same as the minimum distance with square root.
Therefore,
Now, let initial approximation be
For
The second approximation is
For
The third approximation is
Hence , the roots of the curve 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