Multiple poles at the origin. Sketch the asymptotes of the Bode plot magnitude and phase for each of the listed open-loop transfer functions. After completing the hand sketches, verify your result with Matlab. Turn in your hand sketches and the Matlab results on the same scales. (a) L(s) = 1/s^2(s + 10)
(b) L(s) = 1/s^3(s + 8)
(c) L(s) = 1/s^4 (s + 10)
(d) L(s) = (s + 3)/s^2(s + 10)
(e) L(s) = (s + 3)s^3(s + 5)
(f) L(s) = (s + 1)^2/s^3(s + 10)

For a gate width of 2 m into the paper, determine the force required to hold the gate abc at its location.

An open feedwater heater operates at steady state with liquid entering at inlet 1 with t? = 40°c and pl = 1 .2 mpa. water vapor att2-200°c and p2 = 1.2 mpa enters at inlet 2. saturated liquid water exits with a pressure of pa 1.2 mpa. neglect heat transfer with the surroundings and all kinetic and potential energy effects, determine the mass flow rate of steam at inlet 2 if the mass flow rate of liquid water at inlet 1 is given as 2 kg/s.

A2-m rigid tank initially contains saturated water vapor at 100 kpa. the tank is connected to a supply line through a valve. steam is flowing in the supply line at 600 kpa and 300 c. the valve is opened, and steam is allowed to enter the tank until the pressure in the tank reaches the line pressure, at which point the valve is closed. a thermometer placed in the tank indicates that the temperature at the final state is 200°c. determine (a) the mass of steam that has entered the tank (b) the amount of heat transfer.