Question

\[f(t) = \left\{
\begin{array}{ll}
3 & 0 \leq t < 4 \\
-5 & 4 \leq t < 6 \\
e^{-t} & 6 \leq t < \infty
\end{array}
\right.
\]
a. Express f(t) in terms of the unit step function
b. find the laplace transform of f(t)

Answer 1

I'm pretty sure that I did the first part right, got \[f(t) = 3 - 8u_c(t-4)+(5+e^{-t})u_c(t-6)\]