Concept explainers
To find: Find the error in writing the basic equation for the partial fraction decomposition of the given rational expression.
Answer to Problem 65E
We make the degree of the numerator less than the denominator of the rational expression.
Explanation of Solution
Given information:we have the given partial fraction is
As we know that while writing the form of partial fraction first we make the degree of the numerator less than the denominator.
Here the degree of numerator and denominator both are equal to 1.
So, first we divide the rational fraction after that we write the partial fraction.
Therefore in correct form it can be written as
Now, we write
Further it imply that
Solving for A and B we get
Therefore, the required partial fraction 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