Consider the system shown below. Here, G(s)=(s+9)(s+12)(s+3)(s+8) NOTE: The following questions assume accuracy to 2 decimal places. A small margin is allowed in expected answer, but you should aim to be as accurate as possible in your calculations. You are expected to do all calculations by hand, and not using Matlab. Use of Matlab is likely to result in slightly different answers which will cause your answers to marked incorrect. a) Number of Open-loop finite poles: Number of Open-loop finite zeros: Number of Open-loop infinite poles: Number of Open-loop infinite zeros: Number of branches in root locus for this system: b) The break away point is at s= The break in point is at s= with gain K= with gain K= 1 mark Unanswered 7 marks Consider the system shown below. Here, G(s)=(s+9)(s+12)(s+3)(s+8) NOTE: The following questions assume accuracy to 2 decimal places. A small margin is allowed in expected answer, but you should aim to be as accurate as possible in your calculations. You are expected to do all calculations by hand, and not using Matlab. Use of Matlab is likely to result in slightly different answers which will cause your answers to marked incorrect. a) Number of Open-loop finite poles: Number of Open-loop finite zeros: Number of Open-loop infinite poles: Number of Open-loop infinite zeros: Number of branches in root locus for this system: b) The break away point is at s= The break in point is at s= with gain K= with gain K= 1 mark Unanswered 7 marks