Concept explainers
To calculate:
Write the partial fraction decomposition of the improper rational expression.
Answer to Problem 49E
The partial fraction decomposition of the improper rational expression is
Explanation of Solution
Given information:
Calculation:
Simplify the expression as
Now deal with
Factor the denominator:
The form of the partial fraction decomposition is
Write the right hand side as a single fraction;
Equating the numerators we get,
Expand the right hand side,
The coefficients are equated,
By solving it we get
Therefore,
Conclusion:
The partial fraction decomposition of the improper rational expression is
Chapter 7 Solutions
EBK PRECALCULUS W/LIMITS
- 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