Consider the rational function 53 – 2 F(s) = (s² + 7)²(s + 12)² Select ALL terms below that occur in the general fc of the complete partial fraction decomposition of F(s). The capital letters A, B, C,.. .. , L denote constants. Bs + C А. s2 +7 G В. s + 12 J С. (s + 12)2 A D. s2 +7 D UE. Е. (s² + 7)2 Es + F UF. (s2 + 7)2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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2
Consider the rational function
53 – 2
F(s)
(s² + 7)2(s + 12)2
Select ALL terms below that occur in the general form
of the complete partial fraction decomposition of
F(s). The capital letters A, B, C, ..., L denote
constants.
Bs + C
А.
s2 +7
G
В.
s + 12
J
s+?
С.
(s + 12)2
А
D.
s2 + 7
(s2 + 7)2
Es + F
F.
(s² + 7)2
Hs + I
G.
s+ 12
Ks + L
UH.
(s + 12)2
E.
Transcribed Image Text:Consider the rational function 53 – 2 F(s) (s² + 7)2(s + 12)2 Select ALL terms below that occur in the general form of the complete partial fraction decomposition of F(s). The capital letters A, B, C, ..., L denote constants. Bs + C А. s2 +7 G В. s + 12 J s+? С. (s + 12)2 А D. s2 + 7 (s2 + 7)2 Es + F F. (s² + 7)2 Hs + I G. s+ 12 Ks + L UH. (s + 12)2 E.
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