Compute the Laplace transform. Your answer should be a function of the variable s: L{2+u5/2(t)est cos(πt) at)}. = You may find the following formulas useful: cos(bt +T)= cos(bt) - - sin(bt + π) = − sin(bt) cos(bt +) = − sin(bt) sin(bt+) = cos(bt)

Please provide me with the answer and solution. Please dumb it down so I can understand.

Compute the Fourier transform A(w) of the following function: 12 /2a² cos wot = -e S(t) a You can assume that a > 0 and wo > 0. Hint: You can write the cosine as a sum of exponentials. Is there any value of w for which the Fourier transform is equal to zero?