Question(1 point) a. Set up an integral for finding the Laplace transform of the following function: $$f(t)=\left\{\begin{array}{ll} 0, & 0 \leq t<6 \\ t-3, & 6 \leq t . \end{array}\right.$$ $F(s)=\mathcal{L}\{f(t)\}=\int_{A}^{B} \square$ help (formulas) where $A=$ $\square$ and $B=$ $\square$ b. Find the antiderivative (with constant term 0 ) corresponding to the previous part. $\square$ c. Evaluate appropriate limits to compute the Laplace transform of $f(t)$ : $$F(s)=\mathcal{L}\{f(t)\}=$$ $\square$ d. Where does the Laplace transform you found exist? In other words, what is the domain of $F(s)$ ? $\square$ help (inequalities)