Draw the Bode plots for each of the following systems. Compare the sketches with the plots obtained using MATLAB.

(a) \(\quad G(s)=\frac{1}{(s+1)^{2}\left(s^{2}+s+4ight)}\)

(b) \(\quad G(S)=\frac{s}{(s+1)(s+10)\left(s^{2}+5 s+2500ight)}\)

(c) \(\quad G(s)=\frac{4 s(s+10)}{(s+50)\left(4 s^{2}+5 s+4ight)}\)

(d) \(\quad G(s)=\frac{10(s+4)}{s(s+1)\left(s^{2}+2 s+5ight)}\)

(e) \(\quad G(s)=\frac{1,000(s+1)}{s(s+2)\left(s^{2}+8 s+64ight)}\)

(f) \(\quad G(s)=\frac{(s+5)(s+3)}{s(s+1)\left(s^{2}+s+4ight)}\)

(g) \(\quad G(s)=\frac{4,000}{s(s+40)}\)

(h) \(\quad G(s)=\frac{100}{s(1+0.1 s)(1+0.5 s)}\)

(i) \(\quad G(s)=\frac{1}{s(1+s)(1+0.02 s)}\)