Determine which of the following second order systems are underdamped, which are critically damped and which are overdamped.
(a) \(\mathrm{T}(s)=\frac{9 s^{2}+3 s+10}{s^{2}+5 s+2}\)
(b) \(\mathrm{T}(s)=\frac{s^{2}-2 s}{s^{2}+6 s+9}\)
(c) \(\mathrm{T}(s)=\frac{64}{3 s^{2}+4 s+5}\)
(d) \(\mathrm{T}(s)=\frac{19 s-20}{s^{2}+s+100}\)
(e) \(\mathrm{T}(s)=\frac{s^{2}+2 s+100}{s^{2}+7 s+49}\)