Concept explainers
To find: Partial expression of the given rational expression.
Answer to Problem 14CT
The partial fraction is given by
Explanation of Solution
Given:
Rational Expression:
Consider the rational expression
Since the degree of denominator is greater than numerator, the expression is in proper form.
Therefore, the denominator can be written as
Therefore,
Simplify as follows
Thus
Substitute x=0 in equation (1) to get
Substitute
Substitute
Subtract equation (2) from (3) to get
Put B=3 in equation
Hence, the partial fraction is given by
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