Find the Laplace transforms of the following functions: \text { A) } f(t)=\left\{\begin{array}{ll}

0, & 0 \leq t<3 \\

t-1, & 3 \leq t

\end{array}\right. \text { B) } g(t)=e^{3-t}\left(2 t-e^{3 t}\right)^{2} \text {. } Find the inverse Laplace transforms of the following functions: \text { A) } F(s)=\frac{e^{2-s}}{s(s-3)} \text {. } \text { B) } G(s)=\frac{s^{2}-9}{s^{3}+9 s} \text {. } Given the IVP: y^{\prime \prime}+4 y^{\prime}+4 y=60, \quad y(0)=0, \quad y^{\prime}(0)=10 A) Use the Laplace transform to find y(s). B) Find the solution of the above IVP.