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Q3) Verify that the Fourier transform of the function (1-x, x<1 0, x>1 f(x) = a. Then Show that 2 sin² u u 2 du is π 4 sin² 2 (4/2) (*/2)² ƒ (k)=-

Q3) Verify that the Fourier transform of the function (1-x, x<1 0, x>1 f(x) = a. Then Show that 2 sin² u u 2 du is π 4 sin² 2 (4/2) (*/2)² ƒ (k)=-

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Q3) Verify that the Fourier transform of the function [1-x|, |x|<1 f(x)= 10₂ |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)=
Transcribed Image Text:Q3) Verify that the Fourier transform of the function [1-x|, |x|<1 f(x)= 10₂ |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)=
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