rt By: Search Rank Page Order 01-exam... solutions 9.. solutions._... solutions_... exam22Fe... answers 2... Answers.. 08-exam exam. 1 If f(t) te' H(t-2) for every t≥0, and if C(f) denotes its Laplace transform, then: (A) L(f)(s) = 22-28 (8-1) for s > 1 XL(f)(s) = e2- =2-228-1 for 1 (s-1)2 1 (C) L(f)(s) = for s > 1 (8-1)2 (D) none of the other answers is correct L[t et H(t-2)](3)=d[t-2+2) et 2+2 H(t-2)] (5) = SHIFT = e2d [ (t-2) e2-2 H(t-2)] (s) + 2e2 [et-2 H(t-2)] (s) = property -25 -25 = e2es [te] (s) + 2e2e's L[et] (3) = = = e2-25 (- d[e3] (s)) + 2-25 +2e 5-4 2-25 1 2-25 +2e =e 2-25 25-1 = e2-25 (d) =e 2-25 ds 1+25-2-e (S-1) S-1 derivative with respect to s for 571 (5-1)2 (S-1) for 571 + S-I => auswer B } E D

Could you explain how this was solved, I don’t understand the explanation before the use of the shift property As well as the simplification afterwards

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