Chapter 7, Problem 24P

Express the following signals in terms of singularity functions.

1. (a) $v\left(t\right)=\left\{\begin{array}{cc}0& t<0\\ -5,& t>0\end{array}\right.$
2. (b) $i\left(t\right)=\left\{\begin{array}{ll}0,\hfill & t<1\hfill \\ -10,\hfill & 3<t<5\hfill \\ 10,\hfill & 3<t<5\hfill \\ 0,\hfill & t>5\hfill \end{array}\right.$
3. (c) $x\left(t\right)=\left\{\begin{array}{ll}t-1,\hfill & 1<t<2\hfill \\ 1,\hfill & 2<t<3\hfill \\ 4-t\hfill & 3<t<4\hfill \\ 0,\hfill & \text{Otherwise}\hfill \end{array}\right.$
4. (d) $y\left(t\right)=\left\{\begin{array}{ll}2,\hfill & t<0\hfill \\ -5,\hfill & 0<t<1\hfill \\ 0,\hfill & t>1\hfill \end{array}\right.$