a) Create a partial Fourier series sum in Excel or MatLAB for the interval (0.9) and time interval (-1,1), using the following Fourier series coefficients obtained by the equations in the textbook Break the time interval into 50 or more discrete intervals, estimate g() with a partial Fourier series Plot the sum in Excel using lab report protocols. Ar=0.333333 A=0.810569469 A=0.202642367 A>=0.090063274 Ar=-0.050660592 As=0.032422779 A=0.022515819 A>=0.016542234 A=0.012665148 A=0.01000703 b) Compare your partial Fourier series sum plot to a plot created with the same coefficients in MATHLET.org's Fourier Coefficient Demo (search for "MIT" "mathlet"). Include a screenshot of your Mathlet partial Fourier Series sum in your submitted homework (Note: Enter A. 0.666666 into the Mathlet Demo. The Mathlet Demo expects the math version Fourier Coefficient As (2/T scaling) and will reconstruct the "DC" value 40 with A2.) Show that the coefficients were obtained from the Fourier series equations for a periodic function 10=1-22-15=0.090063274 Ar=-0.050660592 As=0.032422779 A=0.022515819 A>=0.016542234 A=0.012665148 A=0.01000703 b) Compare your partial Fourier series sum plot to a plot created with the same coefficients in MATHLET.org's Fourier Coefficient Demo (search for "MIT" "mathlet"). Include a screenshot of your Mathlet partial Fourier Series sum in your submitted homework (Note: Enter A. 0.666666 into the Mathlet Demo. The Mathlet Demo expects the math version Fourier Coefficient As (2/T scaling) and will reconstruct the "DC" value 40 with A2.) Show that the coefficients were obtained from the Fourier series equations for a periodic function 10=1-22-15