(Solved): 2. (40) More Advanced Root Locus: a) Draw a root locus for \( G(s) \), using rules 1, 2,3,4 and 5. ...

2. (40) More Advanced Root Locus: a) Draw a root locus for \( G(s) \), using rules 1, 2,3,4 and 5. (Calculate all breakaway points and \( j \omega \) axis crossings). \[ G(s)=\frac{K}{s(s+1)(s+2)} \] b) Using the characteristic equation, find the value of \( K \) at the breakaway point. c) For \( K=5 \), find the s-location of all roots on the root locus.