a) Sketch the following signals over the period n30 to n-5, showing the exact values foreach value of 'n': \text { i) } x[n]=n+n^{2} \text { ii) } x[n]=\cos (n .2 \pi) \text { iii) } x[n]=n \cdot \cos (n .3 \pi) In each case state whether you think the signal is random, periodic, or non-random-non-periodic. b) For the system shown in Figure 2.b below write down the LDE. Re-draw the systemfully labelling all the arrows. State whether the system is IIR or FIR.Then, using a table approach, find the output sequence (y[n]) when the input sequenceX[n] = 8[n]. Evaluate the energy in the sequence y[n] over the first 5 sequence values.%3D c) Using a table approach, find the sequence h[n] for the system shown in Figure 20below. Find the TOTAL energy in h[n] and express this energy's a formula and then evaluate it as a number. Is the sequence h[n] an energy or a power signal?

Fig: 1

Fig: 2

Fig: 3

Fig: 4

Fig: 5

Fig: 6

Fig: 7

Fig: 8

Fig: 9

Fig: 10