For the following Bode diagrams:

a$.(8$ points$)$ Match the Bode diagrams to the appropriate transfer functions by placing the letter of the transfer function in the box. NOTE: There are more transfer functions than boxes, but there is only one transfer function matched to each box.

A$.G(s)=\frac{1}{s+50}$

E$.G(s)=\frac{25000}{s^2+100s+2500}$

B$.G(s)=\frac{10}{10s+1}$

F$.G(s)=\frac{25000}{s^2+20s+2500}$

C$.G(s)=\frac{500}{s+50}$

G$.G(s)=\frac{500}{s^3+20s^2+500s+1}$

D$.G(s)=\frac{100}{s+100}$

H$.G(s)=\frac{5000}{s^3+50s^2+500s+2500}$

b$.(2$ points$)$ Which system $,$ or $4$