-u (w) = 3/w + πT (1) jw [{Br_mn]}x+(®on+m]x] } 2²2 ↑ 5

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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b) Given that,
f(t) = u(t) cos(wot)
Let x (t) = u(t)
f(t) = x(+) Cos (wot)
we know that
<fourier transfor
u(t)
F.T
x (1) Cos (wot) < F.T
3
u
(w) = = + πT √S(W)
½ / [x (w+1₂) + X(W-48]]
How did he get the
value inside the circle
Transcribed Image Text:b) Given that, f(t) = u(t) cos(wot) Let x (t) = u(t) f(t) = x(+) Cos (wot) we know that <fourier transfor u(t) F.T x (1) Cos (wot) < F.T 3 u (w) = = + πT √S(W) ½ / [x (w+1₂) + X(W-48]] How did he get the value inside the circle
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