Consider the two interacting tanks system shown in the given figure. The cross-sectional areas of the two tanks are both 2m2 and the system is operating at steady state at inlet flow rate ( Fi) of 0.4m3/min. Linear resistances of first and second valves are 1 and 2mmin/m3, respectively. a) Find the overall transfer function relating inlet flow rate and the height of liquid level in second tank, find damping factor and the type of response. b) If the inlet flow rate is increased by a step change of 0.4 , determine the ultimate value of height of liquid level in second tank using final value theorem