Consider the following feedback control system: \text { Assume } C(s)=K, K>0 \text { and } \mathrm{P}(s)=\frac{(s+1)(s+2)}{(s+5)(s+10)} \text {. } a)For K=10, show the step response of the system? (Construct the closed loop transfer function using "feedback" command) b)Find a gain K, for which the step response of this system oscillates. c)Find a range of K in which this system become unstable. d)Calculate the dc gain for both open loop and closed loop system transfer functions.What is your observation? e)Using Simulink, plot the step response of the system for k=1 and k=10 and calculate the steady state error.

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