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To find the partial fraction decomposition of and solve for A, B, and C. 4x (x - 1)(x + 3)' Bx + C x + 3 A x-1 + we set it equal to

To find the partial fraction decomposition of and solve for A, B, and C. 4x (x - 1)(x + 3)' Bx + C x + 3 A x-1 + we set it equal to

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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Question
**Problem 1.** Is the following **true or false**? Justify your choice. To find the partial fraction decomposition of \[ \frac{4x}{(x-1)(x+3)} \] we set it equal to \[ \frac{A}{x-1} + \frac{Bx+C}{x+3} \] and solve for \(A\), \(B\), and \(C\).
Transcribed Image Text:**Problem 1.** Is the following **true or false**? Justify your choice. To find the partial fraction decomposition of \[ \frac{4x}{(x-1)(x+3)} \] we set it equal to \[ \frac{A}{x-1} + \frac{Bx+C}{x+3} \] and solve for \(A\), \(B\), and \(C\).
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