f(x) = { ; ا 0 (01-) (...) mle -|

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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I'm trying to find the fourier transform (f^) and graph (since f^ isn't real valued function I'm told to graph | f^ | but I don't see how to do that. 

7.2.1 a)
121= √√9² +6²²
f(x) = {
=
= F
-1
FOURIER TRANSFORM ( f (w) ):
1
6) | fl= (²
(-1,0)
(0,1)
o/w
4x
FEFT (FIN)
f(x) e-iwxdx:
z=atib
-eiw ✓ + ein A
-e
12 cos (W)
vzpw
=±
21
teiw-1
Cos (W) 2
-icox
e
I
clx +
I
-iwx
e
dx
/ 21
Transcribed Image Text:7.2.1 a) 121= √√9² +6²² f(x) = { = = F -1 FOURIER TRANSFORM ( f (w) ): 1 6) | fl= (² (-1,0) (0,1) o/w 4x FEFT (FIN) f(x) e-iwxdx: z=atib -eiw ✓ + ein A -e 12 cos (W) vzpw =± 21 teiw-1 Cos (W) 2 -icox e I clx + I -iwx e dx / 21
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