Fourier Series Synthesis and Analysis Equations: a) Let x(t) be a periodic signal with period To = 1 second. Over the interval from [0, 1 second), define x(t) as: x(t) = t² . i) Sketch x(t). ii) Find the exponential form Fourier Series representation of x(t). iii) Use MATLAB to plot the ideal waveform (over the period from 0 to 1 second) along with the Fourier Series representation utilizing up to and including the first five harmonics (i.e., m =-5, -4, -3, ... +5).