We wish to obtain a discrete approximation to a sinusoid x(t) = sin(3t) from 0 to 2.5

We wish to obtain a discrete approximation to a sinusoid x(t) = sin(3πt) from 0 to 2.5 seconds. To do so a discretized signal x(nT_s), with T_s = 0:001, is multiplied it by a causal window w(nT_s) of duration 2.5, i.e., w(nT_s) = 1 for 0 ≤ n ≤ 2500 and zero otherwise. Use our scale shift function to find x(2t) and x(2t - 5) for -1 ≤ t ≤ 10 and plot them.