Ex$.330.$Consider a unity feedback system with$$

$$G$($s$)=$K $($s$+13)/($s$^2+4$s$+19).$Find the angle of departure of the root locus

$$from the complex pole containing the positive imaginary part. Find the entry

$$point for the root locus as it enters the real axis. Angle range is $-$pi to $+$pi

$$with negative angles measured clockwise from the positive real axis. Sketch$$

$$the root locus accurately.$$Answers: theta $($radians$),$s $($real number$),$and

$$the value of k at the real$-$axis$-$entry point.$$ans: