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{21} s² +4 9-1 3 (28+5)³ 2} ₁-55

{21} s² +4 9-1 3 (28+5)³ 2} ₁-55

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The image contains inverse Laplace transformations of three different functions: 1. \( \mathcal{L}^{-1} \left\{ \frac{2}{s^2 + 4} \right\} \) 2. \( \mathcal{L}^{-1} \left\{ \frac{3}{(2s + 5)^3} \right\} \) 3. \( \mathcal{L}^{-1} \left\{ \frac{1}{s^5} \right\} \) These expressions represent finding the original time-domain functions from their Laplace-transformed counterparts. Each function involves a different complexity of transformation, including quadratic, shifted, and higher-order polynomial denominators.
Transcribed Image Text:The image contains inverse Laplace transformations of three different functions: 1. \( \mathcal{L}^{-1} \left\{ \frac{2}{s^2 + 4} \right\} \) 2. \( \mathcal{L}^{-1} \left\{ \frac{3}{(2s + 5)^3} \right\} \) 3. \( \mathcal{L}^{-1} \left\{ \frac{1}{s^5} \right\} \) These expressions represent finding the original time-domain functions from their Laplace-transformed counterparts. Each function involves a different complexity of transformation, including quadratic, shifted, and higher-order polynomial denominators.
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