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(Solved): can someone help me with why I got the first one wrong (a) Find the Laplace transform \( F(s)=\math ...
(a) Find the Laplace transform \( F(s)=\mathcal{L}\{f(t)\} \) of the function \( f(t)=9+\sin (t) \), defined for \( t \geq 0 \). \[ F(s)=\mathcal{L}\{9+\sin (t)\}=\frac{9}{s}+\frac{9}{s^{2}+1} \quad \text { help (formulas) } \] (b) For what values of \( s \) does the Laplace transform exist, that is, what is the domain of \( F(s) \) ? (When entering the domain use the notation similar to \( s>=,>,<=,< \) somevalue)
Expert Answer
SolutionSolution: For the given time domain signal f(t) shown below as - f(t)=9+sin?(t) ; t?0 which can be written as in in terms of unit step functio