a. Fourier transform of the signal x(t), F(x(t))=X(w) is shown below. Determine the signal x(t) using Fourier transforms tables or otherwise. [5 Marks] X (W) 2 0 1 b. Using the above result or otherwise determine the signal y(t) which is the Fourier inverse of the Fourier transform Y(w) shown below. [5 Marks] Y(w) 3 2 2 3 c. Using the above result and duality theorem, determine the Fourier transform of the signal z(t) shown below. [5 Marks] z(t) 12 0 2 3