Find the Fourier transform off (x) defined by Example 6. 1, |x| a f(x) = sin s ds (ii) 00 sin sa. coS sx ds (i)
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- Show that the Fourier sine transform of the function 0 < x < 1 1-x 1 ≤ x ≤2 2 ≤ x is given by 2 sin(w(1 — cos w)) w² XFind the Fourier transform of function f(x) = SX , 0a) Find the Fourier Transform of f(x) √2лx³ ex = 2πx³еx, 0Compute 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?Q3) Verify that the Fourier transform of the function [1-x|, |x|1 a. Then Show that 2 sin u sin u b. Compute the integral 2 du sinu u is T 4 4 du sin² 2² (k/2) (4/2)² ƒ(k)=Need typed solutionSEE MORE QUESTIONSRecommended textbooks for youAdvanced Engineering MathematicsAdvanced MathISBN:9780470458365Author:Erwin KreyszigPublisher:Wiley, John & Sons, Incorporated
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