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Q) Let L is the Laplace transform. (i.e. L(f(t)) = F(s)) L(tf(t)) = (-1)^n * ((d^n)/(ds^n))...

Q)
Let L is the Laplace transform.
(i.e. L(f(t)) = F(s))

L(tf(t)) = (-1)^n * ((d^n)/(ds^n)) * F(s)

(a) F(s) = 1 / ((s-3)^2), what is f(t)?
(b) when F(s) = (-s^2+12s-9) / (s^2+9)^2, what is f(t)?

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