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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 77E
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H3.

 

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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