(a) x5 + 9 (x²-x)(x4 + 6x² + 9)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Question

Write out the form of the partial fraction decomposition of the function. Do not determine the numerical values of the coefficients.

(b)
x²
x² + x - 72
2
X
Transcribed Image Text:(b) x² x² + x - 72 2 X
(a)
x5 + 9
(x² − x)(x4 + 6x² + 9)
Transcribed Image Text:(a) x5 + 9 (x² − x)(x4 + 6x² + 9)
Expert Solution
Step 1: given

a) 

fraction numerator x to the power of 5 plus 9 over denominator open parentheses x squared minus x close parentheses open parentheses x to the power of 4 plus 6 x squared plus 9 close parentheses end fraction


open parentheses b close parentheses
fraction numerator x squared over denominator x squared plus x minus 72 end fraction


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