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- find the fourier cosine integral representation(2) Find and draw the Fourier transform of f(t): = 9+t²Find the Fourier transform of function f(x) = SX , 0Please show your complete solution(7) Find the Fourier transform of the following functions: { { cos x, if 0 1 ifFind the Fourier Transform of f(x) = {1 – x -πSuppose a function f(x) = x between 0 and 1, and f(x) = 0 elsewhere. Solve for the fourier transform g(k) of the original function f(x).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?Find the finite Fourier Cosine Transform of f (x), where 0Recommended textbooks for youAdvanced Engineering MathematicsAdvanced MathISBN:9780470458365Author:Erwin KreyszigPublisher:Wiley, John & Sons, Incorporated
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