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Consider the following systems SS. where S,x [n])=x[n] +n² Szx [n])=x[n-1]. Which of the following is true. S(x [n])=S'(x [n])=x[n-1]+n² S(x [n])=x [n-1] +(n – 1)² S'x [n])=x [n-1] +n² S(x [n])=x[n-1] +n2 S'(x [n])=x [n-1] + (n- 1)² S(x [n])=S'(x [n ])=x [n-1]+(n- 1)2 O None of the above

Consider the following systems SS. where S,x [n])=x[n] +n² Szx [n])=x[n-1]. Which of the following is true. S(x [n])=S'(x [n])=x[n-1]+n² S(x [n])=x [n-1] +(n – 1)² S'x [n])=x [n-1] +n² S(x [n])=x[n-1] +n2 S'(x [n])=x [n-1] + (n- 1)² S(x [n])=S'(x [n ])=x [n-1]+(n- 1)2 O None of the above

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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**Consider the following systems:** \[ S \] \[ \boxed{S_1} \quad \boxed{S_2} \quad \rightarrow \quad \boxed{S_2} \quad \boxed{S_1} \] where - \( S_1(x[n]) = x[n] + n^2 \) - \( S_2(x[n]) = x[n-1] \) **Which of the following is true?** - \( S(x[n]) = S'(x[n]) = x[n-1] + n^2 \) - \[ \begin{cases} S(x[n]) = x[n-1] + (n-1)^2 \\ S'(x[n]) = x[n-1] + n^2 \end{cases} \] - \[ \begin{cases} S(x[n]) = x[n-1] + n^2 \\ S'(x[n]) = x[n-1] + (n-1)^2 \end{cases} \] - \( S(x[n]) = S'(x[n]) = x[n-1] + (n-1)^2 \) - None of the above **Graph Explanation:** The diagram shows two systems, \( S \) and \( S' \), composed of two components each: \( S_1 \) and \( S_2 \), arranged in different sequences. \( S \) has \( S_1 \) followed by \( S_2 \), while \( S' \) has \( S_2 \) followed by \( S_1 \). The goal is to determine the true relationship between the outputs of these systems based on the given component functions.
Transcribed Image Text:**Consider the following systems:** \[ S \] \[ \boxed{S_1} \quad \boxed{S_2} \quad \rightarrow \quad \boxed{S_2} \quad \boxed{S_1} \] where - \( S_1(x[n]) = x[n] + n^2 \) - \( S_2(x[n]) = x[n-1] \) **Which of the following is true?** - \( S(x[n]) = S'(x[n]) = x[n-1] + n^2 \) - \[ \begin{cases} S(x[n]) = x[n-1] + (n-1)^2 \\ S'(x[n]) = x[n-1] + n^2 \end{cases} \] - \[ \begin{cases} S(x[n]) = x[n-1] + n^2 \\ S'(x[n]) = x[n-1] + (n-1)^2 \end{cases} \] - \( S(x[n]) = S'(x[n]) = x[n-1] + (n-1)^2 \) - None of the above **Graph Explanation:** The diagram shows two systems, \( S \) and \( S' \), composed of two components each: \( S_1 \) and \( S_2 \), arranged in different sequences. \( S \) has \( S_1 \) followed by \( S_2 \), while \( S' \) has \( S_2 \) followed by \( S_1 \). The goal is to determine the true relationship between the outputs of these systems based on the given component functions.
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Step 1

The systems are shown below,

Electrical Engineering homework question answer, step 1, image 1

Where,S1(x[n]) = x[n]+n2S2(x[n]) = x[n-1]

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