4. (30pts) A process output is give by the following expression: Y(s)=s(7s+1)10 You know that the output of the Laplace transform expresses the product of the process transfer function and the Laplace transform of the input. a.) If the input is an impulse function (or Dirac delta function), (t) with an impulse magnitude of 10 , what then is the Laplace transform of the process? What is the order of the differential equation, which describes the dynamics of the process? b.) What are the other possible combinations of G(s) and U(s) that yield the above Y(s), and their interpretations? Hint: Obtain the time dependence of the input and indicate the order of the process for the other combinations