11. inverse Laplace transform of (a) F(s) = (b) F(s) = (c) F(s) = (d) F(s) = 3 8² +4 4 (8 - 1)³ 2s + 2 s²+2s +5 2s +1 8228 +2 - following:

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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### Inverse Laplace Transform Problems

**II. Find the inverse Laplace transform of the following:**

  **(a)** \( F(s) = \frac{3}{s^2 + 4} \)
  
  **(b)** \( F(s) = \frac{4}{(s - 1)^3} \)
  
  **(c)** \( F(s) = \frac{2s + 2}{s^2 + 2s + 5} \)
  
  **(d)** \( F(s) = \frac{2s + 1}{s^2 - 2s + 2} \)

In these problems, you are required to find the inverse Laplace transform of each given function \( F(s) \). The inverse Laplace transform converts a function from the s-domain (Laplace domain) back into the time domain, usually denoted as \( f(t) \).
Transcribed Image Text:### Inverse Laplace Transform Problems **II. Find the inverse Laplace transform of the following:** **(a)** \( F(s) = \frac{3}{s^2 + 4} \) **(b)** \( F(s) = \frac{4}{(s - 1)^3} \) **(c)** \( F(s) = \frac{2s + 2}{s^2 + 2s + 5} \) **(d)** \( F(s) = \frac{2s + 1}{s^2 - 2s + 2} \) In these problems, you are required to find the inverse Laplace transform of each given function \( F(s) \). The inverse Laplace transform converts a function from the s-domain (Laplace domain) back into the time domain, usually denoted as \( f(t) \).
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