(d)L{(t2 +2t) U(t 3)} (2) Show how the chosen function could be modied so that Theorem 7.3.2 could be used directly to nd the given Laplace transform. Theorem 7.3.2 Second Translation Theorem. |fF(s) =L{f(t)} and a>0,then L{f(ta)U(ta)}=e_'\"F(s). (3) Check your answer by using the Alternative Form of the Second Translation Theorem: L {g (t) U (t (1)} = e_\"5L {g (t l (1)}