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1 [1 0Sx<1 If f(x) = find the (a) Fourier sine transform, (b) Fourier cosine transform of f(x). x21 each case obtain the graph of f(x) and its transform. (1- cosa sina Ans. (a) (6)

1 [1 0Sx<1 If f(x) = find the (a) Fourier sine transform, (b) Fourier cosine transform of f(x). x21 each case obtain the graph of f(x) and its transform. (1- cosa sina Ans. (a) (6)

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 J1 05x<1 If f(x) = x21 find the (a) Fourier sine transform, (b) Fourier cosine transform of f(x). each case obtain the graph of f(x) and its transform. 1-cosa 2 sin a Ans. (a) (b) 2 (a) Find the Fourier transform of f(x) = { |x[ < 1 |x[ > 1 x COS X - sin (b) Evaluate dx. COS a cos a- sin Ans. (а) 2, (b) 16
Transcribed Image Text:1 J1 05x<1 If f(x) = x21 find the (a) Fourier sine transform, (b) Fourier cosine transform of f(x). each case obtain the graph of f(x) and its transform. 1-cosa 2 sin a Ans. (a) (b) 2 (a) Find the Fourier transform of f(x) = { |x[ < 1 |x[ > 1 x COS X - sin (b) Evaluate dx. COS a cos a- sin Ans. (а) 2, (b) 16
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