A function f(t) is defined by 0, Π <- π VI f(t) = Bt, st≤ Π A Π 0, t (i) Insert the values of YOUR parameters A and B for YOUR function f(t). (ii) Sketch f(t) over the domain -≤t≤ (iii) State with reason(s) whether the function is odd, even, or neither. ENM5005-B/January 2021 Assessment 02 [5] [10] [10] Page 2 of 3 (iv) Using your answer to part (iii) show that the Fourier transform of f (t) is F(w) = fs(w) = πb(w) = 2πB WIT 2B ωπ cos + sin- WA A [35] Hence, show that the first frequency in the Fourier transform with zero amplitude (does not contribute to frequency spectrum) lies in the interval 0 <w< [15] (v) Briefly describe the relationship between Fourier series and Fourier transforms [10]