s14_ps12_spring04

# s14_ps12_spring04 - Uniﬁed Engineering II Spring 2004...

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Unformatted text preview: Uniﬁed Engineering II Spring 2004 Problem S14 (Signals and Systems) For each of the following Laplace transforms, ﬁnd the inverse Laplace transform. Note that you can use the results of Problem S10 to help with the partial fraction expansions, but you will need to use the region of convergence to determine the inverse transform. 1. G(s) = 3s2 + 3s − 10 , −2 < Re[s] < 2 s2 − 4 2. G(s) = 3s2 + 3s − 10 , Re[s] < −2 s2 − 4 3. G(s) = 6s2 + 26s + 26 , (s + 1)(s + 2)(s + 3) −2 < Re[s] < −1 4. G(s) = 6s2 + 26s + 26 , (s + 1)(s + 2)(s + 3) −3 < Re[s] < −2 5. G(s) = 4s2 + 11s + 9 , (s + 1)2 (s + 2) −2 < Re[s] < −1 6. G(s) = 4s2 + 11s + 9 , (s + 1)2 (s + 2) Re[s] < −2 7. G(s) = 4s3 + 11s2 + 5s + 2 , s2 (s + 1)2 −1 < Re[s] < 0 8. G(s) = 4s3 + 11s2 + 5s + 2 , s2 (s + 1)2 Re[s] < −1 9. G(s) = s3 + 3s2 + 9s + 12 , (s2 + 4) (s2 + 9) Re[s] < 0 ...
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