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
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
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F37c407f4-5be5-4e70-b81d-676b039d3ff5%2F2fb596d3-48e5-49b8-af02-c5d824af7d15%2Ftm7sku9_processed.png&w=3840&q=75)
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F37c407f4-5be5-4e70-b81d-676b039d3ff5%2F2fb596d3-48e5-49b8-af02-c5d824af7d15%2Fydszg14_processed.png&w=3840&q=75)
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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Follow-up Question
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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