3. [2 points.] Use the original definition of the Laplace transform to derive the Laplace transform of the Dirac delta function o(t) (actually a 'distribution' or 'generalized function'). That is, compute the transform Co(t) } = 1 e- st 8 (t ) dt. Show all detailed steps of your derivation. Compare your results to the appropriate entry in the table of Laplace transforms