a) Find the even and odd parts of the following signal x(n) = au(n). b) For a given sequence x(n) = (6 n) [u(n) u(n 6)], make a sketch of y(n) = x(n - 2n + 1). c) Write MATLAB script to represent the signal x(n) that has been given in (b), based on unit step function. d) If x(n) is an input to a system defined by y(n) = nx(n), find the power in the output y(n). Hint: Consider the closed form expression-onan a , at lal < 1. (1-a) e) Express a given sequence x(n) as a sum of scale and shift unit steps. x(n) = 2 3 0 [25 Marks] n = 0 n = 1 n = 2 otherwise