(Solved): a) (Fourier Synthesis) Create a partial Fourier series sum in Excel for the \( n \) interval \( [0 ...

a) (Fourier Synthesis) Create a partial Fourier series sum in Excel for the \( n \) interval \( [0,8] \) and \( t \) time interval \( [-\pi, \pi) \), using the following Fourier series coefficients obtained by the equations in the textbook. Break the time interval into 200 intervals, estimate \( g(t) \) with a partial Fourier series. I. Plot the Fourier synthesis (sum) in Excel using lab report protocols. Make sure to submit the excel file. II. The final plot of the synthesis should be inserted here as a picture.