Consider the transfer function for a first-order system g(s)=12(s+7)/(s^2+2s+9) for this system determine: a) poles and zeros of the function, b) the natural frequency and damping ratio, c) the peak value achieved in response to a unit step input, d) the peak time for a unit step input, e) the steady-state system response to a unit step input

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]