Please answer question number 3.

Prob. 1. For the 2nd order transfer function: G=4s2+2s+1K, (a) Determine the time constant and damping factor. Is it an overdamped or underdamped process? (10pt) (b) Determine the characteristics of the step response of this transfer function, i.e., time to first peak, period, overshoot and decay ratio. (10pt) Prob. 2. For a process described by transfer function G=U(s)Y(s)=10s2+9s+1K(0.1s+1), will the process stay stable in response to a step change in U(s) ? Will the response be oscillatory? Explain your answer. (10pt) Prob. 3. For the given transfer function G=(10s+1)(1s+1)(2s+1)K(0.1s+1), derive an approximate first-orderplus-time-delay model using Taylor series. (10pt)