(Solved): The graph of \( f(t) \) is given in the figure. Represent \( f(t) \) using a combination of Heavisi ...

The graph of \( f(t) \) is given in the figure. Represent \( f(t) \) using a combination of Heaviside step functions. Use \( h(t-a) \) for the Heaviside function shifted \( a \) units horizontally. \( f(t)= \) help (formulas) Hint: Finst, find a formula for \( f(t) \) as a piecewise defined function: \[ f(t)=\left\{\begin{array}{ll} 0 & \text { if } 0 \leq t<1 \\ \eta ? & \text { if } 1 \leq t<2 \\ ? \geqslant & \text { if } 2 \leq t<3 \\ 0 & \text { if } 3 \leq t<\infty \end{array}\right. \] The two formulas for \( 1 \leq t<2 \) and \( 2 \leq t<3 \) can each be found by finding the equation of a ine through two points. For example, the formula for for \( 1 \leq i<2 \) should be a line that goes through the points \( (1,0) \) and \( (2,4) \).