A function is defined over (0,4) by We then extend it to an odd periodic function of period 8 and its graph is displayed below. an The function may be approximated by the Fourier series where I is the half-period of the function. NTI Use the fact that f(z) and f(x) cost b1 by- b3 -5 II 16-{3+ Hence the Fourier series made up entirely of sines. = b4- || y 1 H 5 21 f(x) = a0 +1 (an cos (1) + bn sin Calculate the following coefficients of the Fourier series and enter them below in Maple syntax. I AG 0