Please answer MATLAB questions with MATLAB code. Others by hand.

Consider the signal below, periodic with period T-2. 1 Kt1. f(t)enutdt, n-0,1, +2, (a) Find the real Fourier coefficients an, bn You may use your knowledge of cn to do this, without integrating. Alternatively, you may choose instead to find an and bn by integration, and use this knowledge to find c (b) Find the average energy of f over one period; that is, compute TJ-T/2 (c) Use Parseval's identity to answer the following question: How many terms do we need to add in the Fourier series in order to approximate f, with at least 99% of the (average) energy of f being present in the approximation? Justify. (This can, and should, be done using MATLAB. Include your code in the answer.) (d) Use MATLAB to plot, on the same graph, both f and the approximation obtained in the last item. (e) Draw an accurate picture of the (complex) amplitude spectrum of f, containing at least the first 5 frequencies. For full marks you will need to label all axes correctly, making clear which angular frequencies are present in this signal