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11 Suppose that you want to find the inverse transform x(t) of X(s) If you can write X(s) as a product F(s)G(s) where f(t) and g(t) are known, then by the above result, x(t) = (f ∗ g)(t) 12 Example Consider the previous example Find the inverse transform q(s) of Q(s) = 3s (s2 1)2 Write Q(s) = F(s)G(s), where F(s) = 3 s2 1, and G(sTm a i n s f x t c f s dj r b u l b w i r e e zd c o n d u c t d i u Title Vocabulary Worksheet Factory 2 Author J Gilmore Created Date AMPassengers (1000's) 1950 1952 1954 1956 1958 1960 100 0 300 400 500 600 u Q i U t x v y tR V v pm W Ov m x H w D Q R p F t O yO C UO v tR UR a wtH R l x AirP assengers y windo wx C U Q R CQ w Y x u xHD v m Jan F eb Mar Apr Ma y Jun Jul Aug Sep Oct No v Dec Ov m x H w D Q R p F t qF t O W xD WO p QDv mp UR rY i wQ y wN o x AirP assengers y

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