A function is defined over (0,3) by {(4) = =+2 We then extend it to an even periodic function of period 6 and its graph is displayed below. 10 15 The function may be approximated by the Fourier series f(z) = a0 + 유 (on o () + h an ()) where L is the half-period of the function. Use the fact that f(z) sin() is an odd functions, enter the value of m in the box below. bn = 0 BD. for n=0,1,2,.. Hence besides the constant term, the Fourier series made up entirely of cosines. Calculate the following coefficients of the Fourier series and enter them below in Maple syntax. for k= 1, 2, ..

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