Concept explainers
To find:The partial fraction decomposition of the given proper rational expression.
Answer to Problem 42E
The partial fraction decomposition of the given rational expressionis
Explanation of Solution
Given information:
The proper rational expression is
Calculations:
Based on the factors of the denominator, the decomposition form is as follows:
Now, multiply each side by the least common multiple,
That is,
Comparing the coefficients of like terms, we get
Using
Solving the first two equations,
Using these values, solving the third and fourth equations
Conclusion:
Therefore, the partial fraction decomposition of the given 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