Fourier Transforms

Compute the Fourier transform of the following expressions by explicitly evaluating the integrals. 1 F{Im[f(x)]:(x,5)}; f(x) is complex. dg(x). 2 F 2:(x, 5) and F{S:(y)dy:(y.v)}. Verify your results for the function: g(x, y) = cos(kx) sin(k,y). Plot your result. 3 F{f*(x)g(x):(x: 5)} 4 F-'{F(5)*G(9):(5.2)). } 5 Fe Fe**** (x,c)}. for a>0. Plot the function and the resulting FT, for a= 2. Compute the Fourier transform of the following expressions by explicitly evaluating the integrals. 1 F{Im[f(x)]:(x,5)}; f(x) is complex. dg(x). 2 F 2:(x, 5) and F{S:(y)dy:(y.v)}. Verify your results for the function: g(x, y) = cos(kx) sin(k,y). Plot your result. 3 F{f*(x)g(x):(x: 5)} 4 F-'{F(5)*G(9):(5.2)). } 5 Fe Fe**** (x,c)}. for a>0. Plot the function and the resulting FT, for a= 2