The transfer function of a process Gp(s)= 18/(s^2+3s+9) is given as in the equation.

(a) A step change of magnitude 3 is applied to this process. Obtain the answer equation and plot its curve. Determine the overshoot, the time to reach the maximum response and the new steady state value.

(b) For physical reasons, the maximum value of the answer must be no more than 10. Calculate the severity of the largest digit change that can be applied at the entrance so that the answer does not exceed this limit.