Q5) A system is given as
\begin{equation}
G(s) = \frac{(s+3)}{s(s+1)(s+2)(s+4)}
\end{equation}
considering the root-locus, calculate the location of the asymptotes and their angles with the
real axis, respectively.
a) $-\frac{3}{4}$, $\frac{\pi}{6}$, $\frac{5\pi}{6}$, $\pi$
b) $-\frac{5}{3}$, $\frac{\pi}{4}$, $-\frac{\pi}{6}$
c) $-\frac{4}{3}$, $\frac{\pi}{3}$, $\frac{5\pi}{3}$, $\pi$
d) -3, $\frac{\pi}{6}$, $\frac{\pi}{4}$, $-\frac{\pi}{6}$
