Materials Science and Engineering: An Introduction, 10e WileyPLUS + Abridged Loose-leaf
Materials Science and Engineering: An Introduction, 10e WileyPLUS + Abridged Loose-leaf
10th Edition
ISBN: 9781119472070
Author: William D. Callister Jr., David G. Rethwisch
Publisher: Wiley (WileyPLUS Products)
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Chapter 21, Problem 10QAP
To determine

To describe: The phenomenon of dispersion in a transparent medium.

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2. Find the inverse Laplace transform of the following s -domain signals. 1 a) Y(s) = (s+4)²(s+3) S+7 b) Y(s) = (s²+6s+13) s²+2s+2 c) Y(s) = (s+2)2-32 d) Y(s) = (1-es - e-3s) $2
4. Answer the following questions. Take help from ChatGPT to answer these questions (if you need). But write the answers briefly using your own words with no more than two sentences and make sure you check whether ChatGPT is giving you the appropriate answers in our context. A) What is the zero-input response? B) What is the zero-state response? C) What are pole, zero, and residue in the context of our class? D) What are the different methods for finding the inverse Laplace transform? Which one we used in this class?
3. You have come to encounter an LTI system. You have no idea how the system behaves. So, you decide to drive the system with a particular input and measure the output. When you put the input u(t) = et 1(t), you find that the output y(t) = (1-e) 1(t). You can assume zero initial conditions. Now, find the transfer function of the system.
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