Use a system of equations to find the partial fraction decomposition of the rational expression. Solve the system using matrices. 10x² + 3x -9 (x + 1)²(x - 1) A = B = C = = A x + 1 + B с x-1 (x + 1)² +

Calculus: Early Transcendentals
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Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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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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Use a system of equations to find the partial fraction decomposition of the rational expression. Solve the system using matrices.
10x² + 3x-9
(x + 1)²(x - 1)
A =
B =
C =
=
A
+
x + 1
B
x-1
+
с
(x + 1)²
Transcribed Image Text:Use a system of equations to find the partial fraction decomposition of the rational expression. Solve the system using matrices. 10x² + 3x-9 (x + 1)²(x - 1) A = B = C = = A + x + 1 B x-1 + с (x + 1)²
Expert Solution
Step 1: Given

(10x2+3x-9) /[(x+1)2(x-1) ]= A/(x+1) + B/(x-1) + C/(x+1)2

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