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(4gts) Furst, consider the following two fanctions of time. Find the Laplace transform of each, and evaluate it at s = 4Hz F,
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Lt) 4 exp(-6t)+5 Cosl5t) Taking Laplace tansform we have ct]= 4L(eatLe) + 5 L[aL5t] FL) L(as cat)a S-a F (S)=4.1 + 5. S and S70 I13 gttt 1.54 3 16 16 3 9/5 (tyst y64 st45+68 + 16 + (Stai48 7 nat 16 3 (s) (5-13)7102 Taking fa Lt)16L inverse Labla ce(S+5 Taking invercse laplace tansform:- Sa falt) 400 200 St6 e -a ()24 R00.e6t 400 31 3 -5t 200 t e - 200 e 3

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