Q1/ a- Determine y(t) for a generic first-order transfer function shown if a step of magnitude M is applied to x(t) X(s)Y(s)=s+1K b- A first-order transfer function relating to height of fluid in a tank to inlet flow rate of the tank has gain of 10m/(m3/s) and a time constant of 50sec. The system operating at steady state where inlet flow rate is 0.4m3/s and the fluid height in the tank is 3m. The inlet flow increased instantaneously to 0.41m3/s. 1. What is the hieght of fluid in tank 100 sec after the increas has occurred? 2. What is the new steady state of fluid in the tank