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(Solved): 1. Find the initial value of f(t) when the Laplace transform of f(t) is given by F(s)=s2+s+12s+ ...



1. Find the initial value of \( f(t) \) when the Laplace transform of \( f(t) \) is given by
\[
F(s)=\frac{2 s+1}{s^{2}+s+1}

1. Find the initial value of when the Laplace transform of is given by [Solution: 2. Find 3. Find the final value using Final Value Theorem [Solution: ]


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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
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