(Solved): The graph of \( f(t) \) is given below: (Click on graph to enlarge) (a) Represent \( f(t) \) using ...

The graph of \( f(t) \) is given below: (Click on graph to enlarge) (a) Represent \( f(t) \) using a combination of Heaviside (unit) step functions. Use \( u(t-a) \) for the Heaviside function shifted \( a \) units horizontally. \[ f(t)=\quad \text { help (formulas) } \] (b) Find the Laplace transform \( F(s)=\mathcal{L}\{f(t)\} \) for \( s \neq 0 \). \[ F(s)=\mathcal{L}\{f(t)\}=\quad \text { help (formulas) } \]