Consider the following non-periodic function: f(x)= π-x 0<x≤π 4(a) Write down the odd periodic extension, p(x), of the non-periodic function f(x), with a period T = 2π. If appropriate, write this in piecewise form. 4(b) Sketch p(x), from 4(a), over the interval [-3π,3π]. Label both axes, as well any intercepts on either axis. 4(c) Determine the Fourier coefficients for p(x). 4(d) Write down the first three non-zero terms of the Fourier series representing p(x). If a, is non-zero, then count this as the first non-zero term of the Fourier series. (2 marks)