(Solved):   For each of the transfer functions shown below, find the locations of the poles and zeros, ...

 

For each of the transfer functions shown below, find the locations of the poles and zeros, plot them on the \( s \)-plane, and then write an expression for the general form of the step response without solving for the inverse Laplace transform. State the nature of each response hoverdamped, underdamped, and so on). a. \( T(s)=\frac{2}{s+2} \) b. \( T(s)=\frac{5}{(s+3)(s+6)} \) c. \( T(s)=\frac{10(s+7)}{(s+10)(s+20)} \) d. \( T(s)=\frac{20}{s^{2}+6 s+144} \) e. \( T(s)=\frac{s+2}{s^{2}+9} \) f. \( T(s)=\frac{(s+5)}{(s+10)^{2}} \)