12. Use the initial and final value theorems of Laplace transforms to determine the initial and final values of the process output for a unit step input change to the following transfer functions. 5s+12 i. 7s+4 ii. iii. (75²+45+2)(65+4) (4s² +4s+1)(16s² +4s+1) 4s²+2s+1 8s² +45 +0.5

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
Question
12. Use the initial and final value theorems of Laplace transforms to determine the
initial and final values of the process output for a unit step input change to the
following transfer functions.
5s+12
i.
7s+4
ii.
iii.
(75²+45+2)(65+4)
(4s² +4s+1)(16s² +4s+1)
4s²+2s+1
8s² +45 +0.5
Transcribed Image Text:12. Use the initial and final value theorems of Laplace transforms to determine the initial and final values of the process output for a unit step input change to the following transfer functions. 5s+12 i. 7s+4 ii. iii. (75²+45+2)(65+4) (4s² +4s+1)(16s² +4s+1) 4s²+2s+1 8s² +45 +0.5
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