P6.6 A unity-feedback control system is shown in Figure P6.6. Determine the stability of the system with the following loop transfer functions using the Routh–Hurwitz criterion:

(a) Ge(s)G(s) = (b) Ge(s)G(s) = (c) G(s)G(s) = (10s+30)(s+1) s (s-2) 10 s($3+2s2+5s+2) $2+s+3 s(s + 1)(s+2)