Answered: Direction: Determine the Inverse…

Direction: Determine the Inverse Laplace Transform of the functions by reduction to partial fractions. s2+3 1. (s-3)(s+5)(s-1)2

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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Question

Problem 4. Which gives the inverse transforms of the given s-domain function?

[(1/8100)e^-t][-90t + 38e^3t sin 9t - 84e^3t cos 9t + 84]

[(1/8100)e^t][90t + 38e^3t sin 9t - 84e^3t cos 9t + 84]

[(1/8100)e^-t][90t + 38e^3t sin 9t + 84e^3t cos 9t + 84]

[(1/8100)e^t][-90t + 38e^3t sin 9t - 84e^3t cos 9t + 84]

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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