solve by hand

1. (i)Write the characteristic equation and construct the Routh array for the control system shown in below block diagram. [2 mark] Analyze the stability of the system and find at what value it is stable and unstable [3 mark] (ii)A transfer function of a system is given by, XY=(s3+5s+6)1. Find the roots of characteristic equation and its location. [2 mark] (iii)A rectangular tank is filled with a valve at the bottom and is used for storing a liquid. The area of cross-section of the tank is 10m2 and the flow resistance of the valve (assumed constant) is 0.1s/m2. Find the time constant [1 mark]