need help with red boxes i am fonsued with both parts

(1 point) Consider the following initial value problem, in which an input of large amplitude and short duration has been idealized as a delta function. x +x =8+ 6(1 -4). x(0) = 0. Find the Laplace transform of the solution. X(s) = [ {x(1)) = (8/(s(s+1)))+(e^(-4s))/(s+1) help (formulas) Obtain the solution x(!). x(1) = 8-Be^(-t)+e^(-(t-4)) help (formulas) Express the solution as a piecewise-defined function and think about what happens to the graph of the solution at / = 4. 8-Be^(-4)+1 if 0