Sketch the root locus for the closed-loop systems with forward-path transfer function given below. Just do a quick sketch, no need to calculate break-in/break-out point(s) or exact imaginary axis crossing point.(a)G(s) =K(s+ 2)(s+ 6)s2+ 8s+ 25(b)G(s) =K(s2+ 4)s2+ 1(c)G(s) =K(s2+ 1)s2(d)G(s) =K(s+ 1)3(s+ 4)

Amass of 3 kg of saturated liquid-vapor mixture of water is contained in a piston-cylinder device at 150 kpa. initially, 1 kg of the water is in the liquid phase and the rest is in the vapor phase. heat is now transferred to the water, and the piston, which is resting on a set of stops, starts moving when the pressure inside reaches 500 kpa. heat transfer continues until the total volume increases by 20 percent. determine (a)-the initial and final temperatures, (b)-the mass of liquid water when the piston first starts moving, and (c)-the work done during this process. d)-show the process on a p-v diagram. you don't need to indicate p& v values, but clearly indicate where all states are located in the phase diagram.