The function f (t) = 1 - t2 is to be represented by a Fourier series expansion over the finite interval 0 t 1. Obtain a suitable
(a) full-range series expansion,
(b) half-range sine series expansion,
(c) half-range cosine series expansion.
Draw graphs of f (t) and of the periodic functions represented by each of the three series for -4 t 4