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00 Let f(t) be a function on [0, 0). The Laplace transform of fis the function F defined by the integral F(s) = s e - stf(t)d

€310<t<1 f(t) = 2, 1<t and F(s) = 1 + The Laplace transform of f(t) is F(s) = for all positive s (Type exact answers.) 2 -3 ž

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FCS) = jese fees de flt) = est ostel ikt 2 F (S) = } 3t estest dot sadest dt 1 (3-3)* at tage estat e (3-sto 0389 ۱) +2 (st 3

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