To calculate: the partial fraction decomposition for the rational functions and also verify result by using a table comparing the original function with the partial functions.
Answer to Problem 60E
The partial fraction equation is
Explanation of Solution
Given information:
The predicted cost C for a company to remove p% of a chemical from its waste water is given by the model
Calculation:
From the given equation, we can decompose it partially like,
Here A and B are the variables whose value is to be calculated.
Now by solving it, we get,
Let us put
Let us put
The partial fraction equation is
The table which is obtained from the calculator for different values of P is as follows.
Here for different P values, the returned by the partial fraction and the provided fraction are same. Hence the partial fraction is correct.
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