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1. Consider the function [x-1, f(x) = 0, (1.1) Find the Fourier transform of f(x). if 0 ≤ x ≤ 1, elsewhere.

1. Consider the function [x-1, f(x) = 0, (1.1) Find the Fourier transform of f(x). if 0 ≤ x ≤ 1, elsewhere.

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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1. Consider the function x- f(x) = 0, (1.1) Find the Fourier transform of f(x). (1.2) write f(r) as an integral and deduce that T= 1, 8 if 0 ≤ x ≤ 1, elsewhere. 1 - cos k k2 -dk.
Transcribed Image Text:1. Consider the function x- f(x) = 0, (1.1) Find the Fourier transform of f(x). (1.2) write f(r) as an integral and deduce that T= 1, 8 if 0 ≤ x ≤ 1, elsewhere. 1 - cos k k2 -dk.
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