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Show that d(w) - = [6(w− 1) + 6(w+1)] is the Fourier transform of cos(t). Show that d(w) = −ix[8(w − 1) − 8(w+1)] is the Fourier transform of sin(t).

Show that d(w) - = [6(w− 1) + 6(w+1)] is the Fourier transform of cos(t). Show that d(w) = −ix[8(w − 1) − 8(w+1)] is the Fourier transform of sin(t).

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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Show that d(w) ==}6(w − 1) +5(w+1)] is the Fourier transform of cos(t). - Show that d(w) = −ix[8(w − 1) − 8(w+1)] is the Fourier transform of sin(t).
Transcribed Image Text:Show that d(w) ==}6(w − 1) +5(w+1)] is the Fourier transform of cos(t). - Show that d(w) = −ix[8(w − 1) − 8(w+1)] is the Fourier transform of sin(t).
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