If all the system initial conditions are zero, find the Laplace transform of the output for given system inputs in Fig. P3.5.
\[
\begin{aligned}
& r_{1}(t)=3 e^{-t} \\
& r_{2}(t)=4 u(t) ; u(t) \text { is unit step function. }
\end{aligned}
\]

111: R(8) 3 R(s) s+3 1 s+1 Y(3)