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1. Find the initial value of $f(t)$ when the Laplace transform of $f(t)$ is given by $F(s)=s_{2}+s+12s+1?$ [Solution: $f(0)=2]$ 2. Find $Y(s)$ $dt_{2}d_{2}y?+dtdy??2y=4y(0)=2andy_{?}(0)=1$ 3. Find the final value using Final Value Theorem $H(s)=s_{2}+2s+10s+2?$ [Solution: $H(x)=0$ ]

given functionF(s)=2s+1s2+s+1formula for finding initial value of f(t) using F(S) using the formulaf(0)=lims???sF(s)=lims???s(2s+1s2+s+1)=lims???s(2s