Determine the inverse Laplace transform of the function below. - 25 Se 2 S + 4s + 5 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. - 28 se (t 5+ 4s + 5 (Use parentheses to clearly denote the argument of each function.)Determine the inverse Laplace transform of the function below. (2s + 34) (s +5)(s + 1) Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. The inverse Laplace transform is (Type an expression using t as the variable.)Solve the given initial value problem using the method of Laplace transforms. z"+5z'+ 6z =e" Hu(t - 3); z(0) =2, z'(0) = -5 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. . . . First, identify the appropriate Laplace transform(s) that should be applied to solve the given initial value problem. Select all that apply. A. E(" ) = n! n + 1 S' [ B. {ju(t - a)} = - S LYc. Beall=. s - a [YD. E(f' ) (S) =S F(s) - sf(0) - f'(0) LYE. { (f) (s) = SF(s) - f(0) Solve the given initial value problem. z(1) =Sketch the graph of the function and determine its Laplace transform. (t - 8)zu(t - 8) Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. . . . Sketch the function's graph. Choose the correct answer below. O A. B. OC. O D. Ag(t) Ag(t) Ag(t) O Ag(t) O Determine the Laplace transform. e ((t -8 )- u(t - 8)) (s) = ]