Task-2) a. Find the z-transform of the sequence defined by x(n) = u(n) (0.5)"u(n). b. Determine the z-transform of the following sequence: y(n) = (0.5)"-5).un - 5), where un-5) = 1 for n > 5 and un-5) = 0 for n 0 1=1>1 3 x(n)" -0 1 US :-1 - (3-1) (+1) (-1) 4 (1) => 1 5 run) 1-1 > 1 6 ahun) 7 => 8 9 1:1>1 10 => 1 11 12 nd (1) = sin(a) sin (an )u(n) 2- 2cos(a) + 1 [:-cos(a)] cos (an)u(1) 22-2-cos(a) + 1 (a sin (b) dhsin (bn)u(t) 2 - 2a cos (b): + a =(: - acos (6) ar" cos (bn)u(n) -2 - (2a cos ()): + 0-2 [ esin (b) of sin (br)u(n) 2-[204 cos (h)]: +e-2 =E: - "cos(b)] 6- cos (bn)u(n) 2-12ecos()]: +e- A: 2|4||Pl" cos(ne + )u(1) + where P and A are complex constants defined by P = P20,4 = 141/4 13 14 => 15