A sound system consists on a CD player, cascaded to an amplifier and followed by speakers. Each of these three subsystems can be modelled by a transfer function as indicated in the figure below. The input of the sound system u(t) is the CD laser reader, and the output y(t) is the sound/acoustic pressure as shown on the graph. Which of the following options represents the sound at any given time t? u(t) CD player Amplifier Speaker U(s) U1(s) 1 U2(s) 1 Y(s) s+2 s+1 s2 +6s +34 O a. y(t) = -0.04 + 0.059t + 0.034e+ 0.005e cos(5t)- 0.0016e 3 sin(5t) -3t 3t O b. y(t) = -0.8t + 0.098t + 0.045e + 0.18e - 0.016e 2t %3D O. y(t) = -0.04 + 0.059t + 0.034et +0.15e-* cos(5t) – 0.016e-3t sin(5t) O d. y(t) = 0.04 + 0.059t + 0.034e 24 + 0.005e * cos(-5t) – 0.0016e 34 sin(5t) -3t %3D

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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A sound system consists on a CD player, cascaded to an amplifier and followed by speakers. Each of these
three subsystems can be modelled by a transfer function as indicated in the figure below. The input of
the sound system u(t) is the CD laser reader, and the output y(t) is the sound/acoustic pressure as
shown on the graph.
Which of the following options represents the sound at any given time t?
u(t)
CD player
Amplifier
Speaker
U(s)
U1(s)
1
U2(s)
1
Y(s)
s+2
s+ 1
s2 +6s +34
O a. y(t) = -0.04 + 0.059t + 0.034e+ 0.005e 3cos(5t)- 0.0016e 3t sin(5t)
O b. y(t) = -0.8t +0.098t + 0.045e
Oc. y(t) = -0.04 + 0.059t + 0.034et +0.15e-3t cos(5t) – 0.016e-3t sin(5t)
O d. y(t) = 0.04 + 0.059t + 0.034e 24 +0.005e-3t cos(-5t) – 0.0016e 3t sin(5t)
+ 0.18e 3t
-0.016e 2t
1-adojs
Transcribed Image Text:A sound system consists on a CD player, cascaded to an amplifier and followed by speakers. Each of these three subsystems can be modelled by a transfer function as indicated in the figure below. The input of the sound system u(t) is the CD laser reader, and the output y(t) is the sound/acoustic pressure as shown on the graph. Which of the following options represents the sound at any given time t? u(t) CD player Amplifier Speaker U(s) U1(s) 1 U2(s) 1 Y(s) s+2 s+ 1 s2 +6s +34 O a. y(t) = -0.04 + 0.059t + 0.034e+ 0.005e 3cos(5t)- 0.0016e 3t sin(5t) O b. y(t) = -0.8t +0.098t + 0.045e Oc. y(t) = -0.04 + 0.059t + 0.034et +0.15e-3t cos(5t) – 0.016e-3t sin(5t) O d. y(t) = 0.04 + 0.059t + 0.034e 24 +0.005e-3t cos(-5t) – 0.0016e 3t sin(5t) + 0.18e 3t -0.016e 2t 1-adojs
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