2) For each of the transfer functions given below: Find the locations of the poles and zeros and plot them on a pole-zero diagram. • State the nature of each response (1st vs 2nd order; over vs. under vs. critically damped) Give the general time-domain expression of the step response without solving for the inverse Laplace (i.e., you do not have to find the residues/coefficients, but should give each exponential and sine/cosine term). a. G(s) = 5+2 5 b. G(s)= (8+3)(s+6) 10(s+7) c. G(s)= (s+10)(s+20) d. G(s) 20 s2+68+144 s+2 e. G(s) = $249 5+5 f. G(s) = (s+10)2