Compute and plot the magnitude and phase of the DFT of the following finite-length sequences:

(a) \(x(n)=2 \cos \left(\pi \frac{n}{N}\right)+\sin ^{2}\left(\pi \frac{n}{N}\right)\), for \(0 \leq n \leq 10\) and \(N=11\).

(b) \(x(n)=\mathrm{e}^{-2 n}\), for \(0 \leq n \leq 20\).

(c) \(x(n)=\delta(n-1)\), for \(0 \leq n \leq 2\).

(d) \(x(n)=n\), for \(0 \leq n \leq 5\).