Compute the Fourier transforms of the following functions, if they exist: (a) f(t) = t if |t| < 1, = 0 otherwise. (b) f(t)=1t| if |t| < 1, = 0 otherwise. (c) f(t) = sint. (d) f(t) == (e) f(t) = (sin t) (H(t+n) - H(t n)) (H is the Heaviside function). (f) f(t) = (cos nt) (H(t+) - H(t-1)).