6. Determine the Fourier integral representation of the following: 0 < t < 1 elsewhere t, f(t) = {t

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.5: Applications
Problem 17EQ
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Question
6. Determine the Fourier integral representation of the following:
0 < t < 1
elsewhere
A.
B.
C.
1 .0⁰ 1
y = (sino
-
It Jo
sin w +
00
1 1
y = = * = [(cos
COS W
Jo W
1 1
y = = = √" = = [ (sin c
-
0
sin w +
f(t) =
cos w + 1
W
sin w
W
= {6;
COS W-
W
cos wt cos w +
cos wt +
(sin w
·(-
Cos wt +
sin wy
sin wt dw
cos
as a + 1) sin ost] das
wt
W
cos @ +
sin) sin wt] dw
Transcribed Image Text:6. Determine the Fourier integral representation of the following: 0 < t < 1 elsewhere A. B. C. 1 .0⁰ 1 y = (sino - It Jo sin w + 00 1 1 y = = * = [(cos COS W Jo W 1 1 y = = = √" = = [ (sin c - 0 sin w + f(t) = cos w + 1 W sin w W = {6; COS W- W cos wt cos w + cos wt + (sin w ·(- Cos wt + sin wy sin wt dw cos as a + 1) sin ost] das wt W cos @ + sin) sin wt] dw
D.
y =
∞
1
S² =/= [(-
-
TT
Cos @ +
sinw)
cos wt+sin w +
COS W
W
1
¹) sin ast] das
Transcribed Image Text:D. y = ∞ 1 S² =/= [(- - TT Cos @ + sinw) cos wt+sin w + COS W W 1 ¹) sin ast] das
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