Problem 2: For the following transfer functions, a. Draw an s-plane diagram to show the poles and zeros. b. How many poles are in the right half-plane, in the left half-plane, and on the jw-axis? c. Is the system stable, marginally stable or unstable? L G(s)= II. G(s): = III. G(s) = IV. G(s) = = V. G(s): = 1 (s+1)(s+2)(s+3) 52-9 (s+7)(s²+2s+3)(s²+16) 5²+5+1 (s+11)(s+5 s²)(s²+65+16)² (s+12)(s-22) s (s2+11s+30)(s2+9)2 20 (s+3)(s+4)2(s²+5)(s2-5-42)