,x(t) 13 0 1 2 3 w(t) -2 -1 0 1 2345 1.5 and 4.5

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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represent w(t) in terms of x(t)

x(t)
13
012
3
w(t)
-2 -1 0 1 2345
1.5 and 4.51
Transcribed Image Text:x(t) 13 012 3 w(t) -2 -1 0 1 2345 1.5 and 4.51
reference
b) Express the signal y(t) of in terms of the signal x(t).
6
x(t).
-2
3
2
y(t) = x(at + b)
y(t) = kx(at + b)
k = 2
y(t) = 2x(-2t/3 + 4/3)
= 2x[-2(t-2)/3]
I
-1
y(-1) = x(a*(-1) + b)
= x(-a + b) = x(2)
-a + b = 2
5a + b = -2
-6a + 0 = 4
y(t)
5
t
SVE
y (5) = x(a*5 + b)
= x(5a + b) = x(-2)
5a + b = -2
-(-2/3) + b = 2
a = -4/6 or -2/3
b = 2-2/3
= 4/3
Transcribed Image Text:reference b) Express the signal y(t) of in terms of the signal x(t). 6 x(t). -2 3 2 y(t) = x(at + b) y(t) = kx(at + b) k = 2 y(t) = 2x(-2t/3 + 4/3) = 2x[-2(t-2)/3] I -1 y(-1) = x(a*(-1) + b) = x(-a + b) = x(2) -a + b = 2 5a + b = -2 -6a + 0 = 4 y(t) 5 t SVE y (5) = x(a*5 + b) = x(5a + b) = x(-2) 5a + b = -2 -(-2/3) + b = 2 a = -4/6 or -2/3 b = 2-2/3 = 4/3
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