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1pt) Using partial fraction expansions, determine the time domain response f (t) to the following Laplace transform F (s). F (s) = 3s2 + 9s
1pt) Using partial fraction expansions, determine the time domain response f (t) to the following Laplace transform F (s). F (s) = 3s2 + 9s + 12 (s + 1)(s2 + 5s + 11) Answer: f (t) = 6 7 et + 15 7 e2.5t cos 4.75t 1.28e2.5t sin 4.75t (t)
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