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6. Determine the final value of the following equation? (38² +45+1) (5² +35³ +38² +28) X (s) =

6. Determine the final value of the following equation? (38² +45+1) (5² +35³ +38² +28) X (s) =

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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The problem presented is as follows: **Question 6:** Determine the final value of the following equation: \[ X(s) = \frac{3s^2 + 4s + 1}{s^4 + 3s^3 + 3s^2 + 2s} \] This equation is presented as a rational function in the Laplace transform domain. The numerator is \(3s^2 + 4s + 1\), and the denominator is \(s^4 + 3s^3 + 3s^2 + 2s\). To determine the final value, you would typically consider the Final Value Theorem if the conditions for its application are met. The theorem is utilized in control systems and signal processing to find the steady-state value of a function as \(t\) approaches infinity.
Transcribed Image Text:The problem presented is as follows: **Question 6:** Determine the final value of the following equation: \[ X(s) = \frac{3s^2 + 4s + 1}{s^4 + 3s^3 + 3s^2 + 2s} \] This equation is presented as a rational function in the Laplace transform domain. The numerator is \(3s^2 + 4s + 1\), and the denominator is \(s^4 + 3s^3 + 3s^2 + 2s\). To determine the final value, you would typically consider the Final Value Theorem if the conditions for its application are met. The theorem is utilized in control systems and signal processing to find the steady-state value of a function as \(t\) approaches infinity.
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