1a)-solve the following differential equation using laplace transforms. assume zero initial conditions x(t) +2x(t)= 4us(t) 2b)- plot the solution x(t) as a function of t specify the time constant and the steady-state step response value xss on the graph.

Acompressor receives the shaft work to decrease the pressure of the fluid. a)- true b)- false

Athin walled concentric tube exchanger is used to cool engine oil from 160°c to 60°c with water that is available at 25°c acting as a coolant. the oil and water flow rates are each at 2 kg/s, and the diameter of the inner tube is 0.5 m and the corresponding value of the overall heat transfer coefficient is 250 w/m2. oc. how long must the heat exchanger be to accomplish the desired cooling? cpwater=4.187 kj/kg-candcpengine el=2.035 kj/kg·°c, oil . 120]

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