Problem 5. Which gives the inverse transforms of the given s-domain function?         [(1/192)e^-t][-72t - 32e^2t + 41e^8t - 9]       [(1/192)e^t][-72t - 32e^2t + 41e^8t - 9]       [(1/288)e^-3t][-72t - 32e^2t + 41e^8t - 9]       [(1/288)e^-t][-36t - 64e^2t + 82e^8t - 27

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.10: Partial Fractions
Problem 2E
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Problem 5. Which gives the inverse transforms of the given s-domain function?
 
 
 
 
[(1/192)e^-t][-72t - 32e^2t + 41e^8t - 9]
 
 
 
[(1/192)e^t][-72t - 32e^2t + 41e^8t - 9]
 
 
 
[(1/288)e^-3t][-72t - 32e^2t + 41e^8t - 9]
 
 
 
[(1/288)e^-t][-36t - 64e^2t + 82e^8t - 27
Direction: Determine the Inverse Laplace Transform of the functions by reduction to
partial fractions.
s²+3
1.
(s-3)(s+5)(s-1)²
s2-s+3
2.
s3(s+5)(s-2)
s-8
3.
(s-3)(s2+2s+17)
4.
(s+1)²(s²-4s+85)
s2+5s-2
5.
(s+1)²(s-1)(s-7)
Transcribed Image Text:Direction: Determine the Inverse Laplace Transform of the functions by reduction to partial fractions. s²+3 1. (s-3)(s+5)(s-1)² s2-s+3 2. s3(s+5)(s-2) s-8 3. (s-3)(s2+2s+17) 4. (s+1)²(s²-4s+85) s2+5s-2 5. (s+1)²(s-1)(s-7)
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