QUESTION 2 [TOTAL MARKS: 33] Q2(a) [9 Marks] (i) Sketch 3 successive cycles of the periodic function: x(t)= 3, -1<t≤ (-3, <t≤0, which has a fundamental period of 1. [7 marks] (ii) Is x(t) as defined above an odd or an even function of t? [2 marks] Q2(b) [13 Marks] Show that the Fourier series amplitude coefficients (A,} n = 1,3,5,..., of x(t), as defined in question Q2(a), decrease in value in proportion to 1/n. Q2(c) [4 marks] Calculate the mean-squared value, or power, of the function x(t). Q2(d) [7 Marks] What would be the mean-squared power of the function x(t) if all harmonics above n = 5 were removed from its Fourier series? End of Question 21