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Use the following system of equations in Problems 1 and 2. x₁ (t) = -x₁ (t) x;(t) = xı(t) − 2x,(t) What is the 2% settling time of x₂(t) when x₁ (0) = 1 and x₂(0) = 0? I (a) Ts 0.5 seconds (b) T,= 1 second (c) T, = 2 seconds (d) T, = 4 seconds What is the 2% settling time of x₂ (t) when x₁ (0) = 0 and x₂ (0) = 4? (a) T, = 0.5 seconds (b) T,= 1 second (c) T,= 2 seconds (d) T, 4 seconds

Use the following system of equations in Problems 1 and 2. x₁ (t) = -x₁ (t) x;(t) = xı(t) − 2x,(t) What is the 2% settling time of x₂(t) when x₁ (0) = 1 and x₂(0) = 0? I (a) Ts 0.5 seconds (b) T,= 1 second (c) T, = 2 seconds (d) T, = 4 seconds What is the 2% settling time of x₂ (t) when x₁ (0) = 0 and x₂ (0) = 4? (a) T, = 0.5 seconds (b) T,= 1 second (c) T,= 2 seconds (d) T, 4 seconds

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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**Question:** What is the 2% settling time of \( x_2(t) \) when \( x_1(0) = 0 \) and \( x_2(0) = 4 \)? (a) \( T_s = 0.5 \) seconds (b) \( T_s = 1 \) second (c) \( T_s = 2 \) seconds (d) \( T_s = 4 \) seconds **Question:** What is the 2% settling time of \( x_2(t) \) when \( x_1(0) = 1 \) and \( x_2(0) = 0 \)? (a) \( T_s = 0.5 \) seconds (b) \( T_s = 1 \) second (c) \( T_s = 2 \) seconds (d) \( T_s = 4 \) seconds **System of Equations:** 1. \( \dot{x_1}(t) = -x_1(t) \) 2. \( \dot{x_2}(t) = x_1(t) - 2x_2(t) \)
Transcribed Image Text:**Question:** What is the 2% settling time of \( x_2(t) \) when \( x_1(0) = 0 \) and \( x_2(0) = 4 \)? (a) \( T_s = 0.5 \) seconds (b) \( T_s = 1 \) second (c) \( T_s = 2 \) seconds (d) \( T_s = 4 \) seconds **Question:** What is the 2% settling time of \( x_2(t) \) when \( x_1(0) = 1 \) and \( x_2(0) = 0 \)? (a) \( T_s = 0.5 \) seconds (b) \( T_s = 1 \) second (c) \( T_s = 2 \) seconds (d) \( T_s = 4 \) seconds **System of Equations:** 1. \( \dot{x_1}(t) = -x_1(t) \) 2. \( \dot{x_2}(t) = x_1(t) - 2x_2(t) \)
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