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Write out the form of the partial fraction decomposition of the function (see example). Do not determine the numerical values of the coefficients. (a) (b) X x² + x - 12 x² x²+x+4

Write out the form of the partial fraction decomposition of the function (see example). Do not determine the numerical values of the coefficients. (a) (b) X x² + x - 12 x² x²+x+4

Calculus: Early Transcendentals
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...
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Write out the form of the partial fraction decomposition of the function (see example). Do not determine the numerical values of the coefficients. (a) (b) X x² + x - 12 x² x² + x + 4
Transcribed Image Text:Write out the form of the partial fraction decomposition of the function (see example). Do not determine the numerical values of the coefficients. (a) (b) X x² + x - 12 x² x² + x + 4
EXAMPLE Write out the form of the partial fraction decomposition of the function x³ + x² + 1 3 x(x − 1)(x² + x + 1)(x² + 1)³ SOLUTION x³ + x² + 1 x(x − 1)(x² + x + 1)(x² + 1)³ A X + B X - 1 + Cx + D x² + x + 1 + Ex + F x² + 1 + Gx + H (x² + 1)² + Ix + J (x² + 1)³
Transcribed Image Text:EXAMPLE Write out the form of the partial fraction decomposition of the function x³ + x² + 1 3 x(x − 1)(x² + x + 1)(x² + 1)³ SOLUTION x³ + x² + 1 x(x − 1)(x² + x + 1)(x² + 1)³ A X + B X - 1 + Cx + D x² + x + 1 + Ex + F x² + 1 + Gx + H (x² + 1)² + Ix + J (x² + 1)³
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Part b must have some form of an answer right? It doesn't give me the option of DNE or anything, so how can I find some form of a solution?

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