Find the z-transform of the following functions, using z-transform tables. Compare the pole-zero locations of E(z) in the z-plane with those of E(s) and E * (s) in the s-plane.

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Let T = 0.1s- (a) (c) (e) E(s) = 20 (s+2)(s+5) s+2 E(s) = s(s+1) E(s) = s +55+6 s(s+4) (s+5) (g) Verify any partial-fraction (b) (d) (f) 5 E(s) = s(s + 1) E(s)= s+2 s (5+1) 2 E(S) = 3+25+5 expansions required, using MATLAB.