Question 5 ASSESSED a) Calculate the Fourier transform f (k) of f(x) = N-1 exp(-\x{/E). b) Using the Fourier transform f (k) above, find N such that dx f(x) =1. c) Determine the Fourier transform of f"(x). d) Calculate the convolution -2 (k)= dk' (8/3)-2 (k - k')2 + $2 k12 + (8/3)-2 Question 5 ASSESSED a) Calculate the Fourier transform f (k) of f(x) = N-1 exp(-\x{/E). b) Using the Fourier transform f (k) above, find N such that dx f(x) =1. c) Determine the Fourier transform of f"(x). d) Calculate the convolution -2 (k)= dk' (8/3)-2 (k - k')2 + $2 k12 + (8/3)-2