Determine whether the following systems have the properties linearity, time invariance, BIBO stability, memory, causality, or invertibility. If the system is invertible, find its inverse. y(t) = (t² − 1)x(t − 1)

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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Hello. I am a little lost testing these problems. Could you help  me through it? Thank you. 

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X ▸ Time Invariance: Conceptual Intro x +
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y(t) = (t² — 1)x(t – 1)
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Arial
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Determine whether the following systems have the properties linearity, time invariance, BIBO
stability, memory, causality, or invertibility. If the system is invertible, find its inverse.
✔
En x[n] where no is a fixed, finite time
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10:20 AM
10/21/2022
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Transcribed Image Text:Untitled document - Google Doc X ← → с Search the menus (Alt+/) www.bartleby.com https://docs.google.com/document/d/1zK4jF_uzocK-6b95QCVoMcjSwRU02xrqqavVzgl3BkU/edit A T 100% Type here to search 100|- 1 X ▸ Time Invariance: Conceptual Intro x + Normal text =e=x[n] 2 y(t) = (t² — 1)x(t – 1) [1 y[n] Arial 3 ▼ 4 Determine whether the following systems have the properties linearity, time invariance, BIBO stability, memory, causality, or invertibility. If the system is invertible, find its inverse. ✔ En x[n] where no is a fixed, finite time I 11 + BIU A 83% → 56 PARA 7 | Rain... ▾ 2 פן ili ID 765 < =S ■ n 10:20 AM 10/21/2022 X :
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As per Bartleby guideline we need to answer the first question only. Kindly repost the rest questions seperate.

i)

Given,

System is

y(t) = (t2-1) x(t-1)

We need to check whether the system is linearity, time invariant, BIBO stability, memory, causality and invertibility. If it is invertible then need to find invertible system.

 

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