3s+1 F(s) = s2 +4

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.4: Fractional Expressions
Problem 16E
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Find inverse Laplace transform

The image shows a mathematical expression typically used in control systems or signal processing. Here is the transcription:

**28.** \( F(s) = \frac{3s + 1}{s^2 + 4s + 4} \)

This expression represents a transfer function \( F(s) \), where \( s \) is a complex frequency variable. The numerator of the transfer function is \( 3s + 1 \), and the denominator is \( s^2 + 4s + 4 \). Transfer functions like this are used to model the input-output relationship of linear time-invariant systems.
Transcribed Image Text:The image shows a mathematical expression typically used in control systems or signal processing. Here is the transcription: **28.** \( F(s) = \frac{3s + 1}{s^2 + 4s + 4} \) This expression represents a transfer function \( F(s) \), where \( s \) is a complex frequency variable. The numerator of the transfer function is \( 3s + 1 \), and the denominator is \( s^2 + 4s + 4 \). Transfer functions like this are used to model the input-output relationship of linear time-invariant systems.
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