Question 2. (6 points) Use the following LaPlace domain process model and transfer functions to answer parts I-IV. Y(s)=G1(s)F(s)+G2(s)U(s)G1(s)=s+11;G2(s)=s+14Initialcondition:y(0)=0 I. Write an expression for Y(s) if the inputs, f(t) and u(t) are unit step inputs. (1 point) II. Take the inverse LaPlace of your expression in b) to find the equation that describes y(t). (2 points) III. Use the final value theorem to determine y(t) at infinite time if f(t) is a unit step input and there is no change to u(t). (1.5 point) IV. If step changes are made to both f(t) and u(t), what magnitude of step changes will result in minimal change to y(t), that is, what is M and N where f(t)=M and u(t)=N for y()0 ? (1.5 point)