Question 1 - determining the fourier series coefficients. each of the following functions is periodic with period t. for each function sketch the real and imaginary parts of the function on the interval [0, 2t] and calculate the fourier series coefficients. (a) x(t) = e j2πt/3 with period t = 3. (b) x(t) = sin(2πt/3) + 3 cos(πt/6) with period t = 12. (c) x(t) = rect(t) for |t| < t /2 with period t = 2. (put in simplest form) (d) x(t) = λ(t) for |t| < t /2 with period t = 2. (put in simplest form) note: rect(t) 4 = 1 for |t| < 1/2 0 otherwise λ(t) 4 = 1 − |t| for |t| < 1 0 otherwise