Calculate the Fourier transform F(u) = F{f(x)} of f(x) = {0, sin(4x), -7<x≤7 x-7 or x > 7 Reason about your answer and if you think it is reasonable. Then express the terms in F (u) as sinc functions, where you specify which of the definitions below you use: sin c (u) = or sin(nu) πω sin(u) sinc (u) = и