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2. Problem 3.16 in the text. Find and graph the even and odd parts of these functions. g[r] = u[n]=u[n=4] (a) g[n] = e* u[n]

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ca g [n] = 4[n] -u [n-4] Even Bart - 9 [n] + g [on] un] -4 [n-4] +4 [-n] - En 1] 2 1 [n- 4] + U En-4) | u [A]#4 -n] 2 n =0 fifirst defining mco u nj-u [-n] nou nco Now defining u [n-qJ-u [-n-4] m? 4 = 1 - 4 ne-4 otherwise 1-10 n24 =) odd part = ne-4odd part . e*u n] - et ul-n] no nco rodd part 2-(- 1- an (C) gen) = cos ( 25 Even per = cos ( 2 + com 24am?) = kaslarin) == =g [n] = sin (son) u n) Even part = sin (2A) u[n]t sin ( 24 (th) ) u En] ronto z mintzane nao (*in () heo 1 Even part -S -4 -2

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