Compute the Laplace transform of f(t) = t: L{t}(s) = √° te || = 0 = U= t t(e^-(st)/-s) 0 du = 1dt te-st dt 1/s^2 ∞ 10 - - 0 0 dv=e^(-st)dt v = (e^(-st))/-s ∞ -1/s^2 e^(-st)/-sdt + (1/s^2)

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Q: Part A how that L(tnf(t)) = (−1)n ((dnF(s))/(dsn)), where F(s) is the laplace transform of y(t). In…

A: Hi, It is multiple sub-parts, I am going to solve the first part only.

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