Concept explainers
To write: the form of the partial function decomposition of the rational expression and check result algebraically by combining fractions and check result graphically by using a graphing utility to graph the rational expression and the partial fraction in the same viewing window.
Answer to Problem 61E
Explanation of Solution
Given information: Given rational function is
Calculation:
Given function is,
Divide a different variable by each of these components.
Since both sides are in standard form, can equate the coefficients to come up with a system of equations.
Recombine to check algebraically.
Graph of the original function and the partial fraction decomposition is given below.
The graph of the original expression and the partial fraction are shown above. They all share the same asymptote.
Chapter 7 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
- 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