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For the following systems, sketch the root locus diagrams and where appropriate include the system's asymptotes (show calculations). Then calculate the break-away/in points for

For the following systems, sketch the root locus diagrams and where appropriate include the system's 

For the following systems, sketch the root locus diagrams and where appropriate include the system's asymptotes (show calculations). Then calculate the break-away/in points for the root locus and the imaginary axis intercepts for the systems. (20 marks) G(s) G(s) = s-8s +12 s(s+5) 8 6s + 10 s + 3s +2

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