Given the periodic function 0 0x and x < 2 f(x) = 5 2x and x < 4 (x+4) otherwise and its graph is displayed below. 6 4 y 3- 2- 1 -4 -2 2 4 6 8 X -1 The function may be approximated by the Fourier series f(x)=a0+1 (an cos L (nxx ) + bn sin (nxx 1)). where L is the half-period of the function. Calculate the coefficients of the Fourier series and enter them below in Maple syntax. a2k-1 = a2k = b2k-1= b2k for k = 1, 2, ...