Q4 Find $f(t)$ for each of the following functions. \begin{align*} a) \quad F(s) &= \frac{135}{s(s+3)^3} \\ b) \quad F(s) &= \frac{10(s+2)^2}{(s^2+2s+2)^2} \\ c) \quad F(s) &= \frac{25s^2+395s+1494}{s^2+15s+54} \\ d) \quad F(s) &= \frac{5s^3+20s^2-49s-108}{s^2+7s+10} \end{align*}
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Step 1: For function a) Fs= s(s+3)3, we need to find the factorization of the denominator. Show more…
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