(Solved): Consider the plotted functions shown in Fig. 1. Complete the following for each plot: a) Determine ...

Consider the plotted functions shown in Fig. 1. Complete the following for each plot: a) Determine an expression for \( f(t) \) by shifting and scaling \( \delta(t), u(t) \), and \( r(t) \). b) If \( f(t) \neq 0 \forall t<0 \), time shift \( f(t) \) so that \( f(t)=0 \forall t<0 \). Determine an expression for the shifted \( f(t) \). c) Determine the Laplace Transform \( F(s) \) of the expression obtained in part (b) (or part (a) if \( f(t) \) did not need to be shifted). a)