2. Let s be a periodic signal with period To = 2 and s(t)=\left\{\begin{array}{ll} -t(t-1) & 0 \leq t<1 \\ (t-1)(t-2) & 1 \leq t<2 \end{array}\right. ) Find the first,

second, and third derivatives r = Ds, u= D²s, and v = D³s. s) Find the Fourier coefficients of each of the four signals: §, î, û, and û. :) (12 pts) For each of the four signals, compute the power with a time domain calculation and compute the power in frequencies ±1/2 (the positive and negative fundamental frequencies) with a frequency domain calculation. What fraction of the power is in the positive and negative fundamental frequencies? Express all answers both symbolically and with an approximate decimal representation.