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/Question 1 (2 marks) By using the Laplace table (y(t) Y(s)) in the Appendix A.1, compute the Laplace transforms for the following time-domain function: a) f(t) = t sin 3t - 2t cost b) f(t) = 5.5e + 3 e 2 + 2.5 t2e-3t
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Question 1 (2 marks) By using the Laplace table (y(t) Y(s)) in the Appendix A.1, compute the Laplace transforms for the following time-domain function: a) f(t) = t sin 3t - 2t cost b) f(t) = 5.5e + 3 e 2 + 2.5 t2e-3t
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Transcribed Image Text: Question 1 (2 marks) By using the Laplace table (y(t) Y(s)) in the Appendix A.1, compute the Laplace transforms for the following time-domain function: a) f(t) = t sin 3t - 2t cost b) f(t) = 5.5e + 3 e 2 + 2.5 t2e-3t
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Transcribed Image Text: Question 1 (2 marks) By using the Laplace table (y(t) Y(s)) in the Appendix A.1, compute the Laplace transforms for the following time-domain function: a) f(t) = t sin 3t - 2t cost b) f(t) = 5.5e + 3 e 2 + 2.5 t2e-3t
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{:[" (a) "f(t)=t sin 3t-2t cos t],[L{f(t)}=int_(0)^(oo)e^(st)f(t)dt],[L(sin at)=(a)/(s^(2)+a^(2));quad L(cos at)=(s)/(s^(2)+a^(2))],[L(t sin 3t)=(-1)^(d)(d)/(ds)L(sin 3t)=(d-3)/(dss^(2)+9)=(6s)/((s^(2)+a)^(2)).],[L(-2 ... See the full answer