4.2-3. Find the z-transform of the following functions, using z-transform tables. Compare the pole-zero locations of E(2) in the z-plane with those of E(s) and E*(s) in the s-plane (see Problems 3.4-1). Let 7 = 0.5 s. 10 (a) E(s)= (8 + 1)(s+3) (b) E(s) = +7 s(+3) (c) E(s) = 5+2 s(s+1) +2 (d) E(s) = s²(s + 1) ²+38 +2 2 (e) E(s) = (f) E(s) = s(s + 1)(s + 2) s² + 2 + 5