Derive the correct partial fraction decomposition for the function 1+5² s(s-4)³(s+4) O A₁1(1+5²) A₁2(1+5²) A21(1+5²) A22(1+5²) A23(1+5²) A31(1+5²) S s² S-4 (s-4)² (s-4)³ s+4 + O A11 A12 A21 A22 A23 A31 + + + + S S-4 (s-4)² (s-4)³ s+4 O A11 A21 A31 + + S-4 S+4 0 A11 A21 + A31 + +

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Derive the correct partial fraction decomposition for the function
1+5²
s²(s-4)³(s+4)
O A₁1(1+5²) A₁2(1+5²) A2₁(1+s²) A₂2(1+s²) A23(1+5²) A31(1+5²)
S
s²
S-4
(s-4)² (s-4)³
s+4
S
O A11 A12 A21
O A11, A21
+
S
+
A23 A31
A22
s² S-4 (s-4)² (s-4)³ +4
+
O A₁1
A21 A31
+
S-4 S+4
A21
A31
+
S² (S-4)³ S+4
+
Transcribed Image Text:Derive the correct partial fraction decomposition for the function 1+5² s²(s-4)³(s+4) O A₁1(1+5²) A₁2(1+5²) A2₁(1+s²) A₂2(1+s²) A23(1+5²) A31(1+5²) S s² S-4 (s-4)² (s-4)³ s+4 S O A11 A12 A21 O A11, A21 + S + A23 A31 A22 s² S-4 (s-4)² (s-4)³ +4 + O A₁1 A21 A31 + S-4 S+4 A21 A31 + S² (S-4)³ S+4 +
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