1. A voltage function is defined below: f(x) = x, over the interval − < x < ₪ and has a period of 2 a) Sketch graph of f(x) in the interval of −4 < x < 4л [3 marks] b) Determine the Fourier-Series coefficients for this function. [5 marks] c) Plot the spectral display based on the coefficients obtained in (ii). The period for f(x) is 2ms. [5 marks] d) Name an electrical and electronic engineering application that can benefit from Fourier Transformation. 2. Consider the system of equations where a is a constant. x+2y+5z 3 2x y 5 -4 axy 2z 1, [2 marks] a) Express the system of equations in matrix form Ax = b, stating clearly the matrices A,x and b. [2 marks] b) Find the value of a for which the system has no solution. [6 marks]