Consider the differential equation x'' + 4x' + x = 2u + 3u with zero initial conditions and a unit step input, u = 1(t).a. Using the final value theorem, predict the steady state output of this system, then plot the response in Simulink to confirm your result. b. Will the steady state response of this system change if the initial conditions are non-zero.

Awall of 0.5m thickness is to be constructed from a material which has average thermal conductivity of 1.4 w/mk. the wall is to be insulated with a material having an average thermal conductivity of 0.35 w/mk so that heat loss per square meter shall not exceed 1450 w. assume inner wall surface temperature of 1200°c and outer surface temperature of the insulation to be 15°c. calculate the thickness of insulation required.