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o The function f(t) = f(t) = { if t 2 if t < 2 > is equal to H(t-2) (t-2)H(t-1) 1-H(t-2) OH(t-1) 2-H(t-1) (t-1)H(t-1)Which of the following expressions equals L[4H(t – 3)](s) ? Select all that apply (more than one answer is correct) 4e-38 L[1

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solution; (a) Consider fro=fo,t>,2 1, t12 Since the neariside fonction HCt-a) at tany H(t-a) tla point a is given by. 1 1 t>,.id34 H (4-3)3 = 4 e 38. 2{1} we see that I Hence, using Abone facts, 284 H(4-3)} = [{H(+-3)} 4 -38 z 4 e 3o £{1} all are com

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