2. Determine the Fourier series for the even function shown below that has a period of...

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2. Determine the Fourier series for the even function shown below that has a period of 4 s. Since it is an even function, it will be a Fourier cosine series. To simplify your work, the solution for one of the integral terms that will result is provided. Solve for the coefficients of the Fourier series by hand leaving as a variable (e.g. do not use a numerical solver to find them). Plot the Fourier series solution from 212 for a partial sum with N=5 (c.g. using terms through As in the summation). This plot must be completed using a software package (Excel, MathCad, Matlab, etc.) with each plot using at least 81 points shown as straight line segments without symbols do not plot by hand (it will not be accepted). (16 points) y(1)- [1+1 01 2 12 25 225 ficos ( not 2 di = 2 175 15 not nat 4 cos +2nxisin 2 2 1 (nx) 075 05 -05 15 2. Determine the Fourier series for the even function shown below that has a period of 4 s. Since it is an even function, it will be a Fourier cosine series. To simplify your work, the solution for one of the integral terms that will result is provided. Solve for the coefficients of the Fourier series by hand leaving as a variable (e.g. do not use a numerical solver to find them). Plot the Fourier series solution from 212 for a partial sum with N=5 (c.g. using terms through As in the summation). This plot must be completed using a software package (Excel, MathCad, Matlab, etc.) with each plot using at least 81 points shown as straight line segments without symbols do not plot by hand (it will not be accepted). (16 points) y(1)- [1+1 01 2 12 25 225 ficos ( not 2 di = 2 175 15 not nat 4 cos +2nxisin 2 2 1 (nx) 075 05 -05 15