14. Fourier (and Laplace) differentiation property 14(a) We know that 8(0) 1, and everyone knows that u() U(a) =18(m)=(There is a proof in the Lecture Notes, but you do not need to know that detail for this course. Use the differentiation property, fo-(jo)"F(@), to show that Cut)+(30)o). 146) Find the spectrum of the doublet function, 96(6). Sketch this Fourier pair of functions. Label the axes clearly. 14. Fourier (and Laplace) differentiation property 14(a) We know that 8(0) 1, and everyone knows that u() U(a) =18(m)=(There is a proof in the Lecture Notes, but you do not need to know that detail for this course. Use the differentiation property, fo-(jo)"F(@), to show that Cut)+(30)o). 146) Find the spectrum of the doublet function, 96(6). Sketch this Fourier pair of functions. Label the axes clearly