Concept explainers
The partial decomposition of the given rational function is to be estimated:
Answer to Problem 23E
The partial decomposition of
Explanation of Solution
Given:
Concept Used:
The process of starting the given rational number with simplified answer steps is the partial-fraction decomposition.
Calculation:
The form of the partial decomposition is expressed by the following expression:
Now, write the right hand side of the equation into a single fraction:
As the denominators of both eqns. are equal so use the equality of numerators:
The coefficients near the like terms should be equal, so the following system is obtained:
Now to get value of
Now, value of
Therefore, the partial decomposition of the given rational function is to be estimated as:
Conclusion:
Hence,
Chapter 10 Solutions
Precalculus: Mathematics for Calculus - 6th 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