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Concept explainers
To calculate: Partial fraction decomposition of the rational function.
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Answer to Problem 41E
Partial fraction decomposition of the rational function is
Explanation of Solution
Given information:
Calculation:
It is given that,
The form of the partial fraction decomposition is,
Right hand side as a single fraction,
Denominator are equal, so one need equality of the numerator:
Now just expand right hand side
Collect up all the like terms,
The coefficients near the like terms should be equal, so the following system is obtained:
After solving this one can get the,
So,
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
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