12.40 Find f(t) for each of the following functions:82 + 37s + 32a) F(s)(s + 1)(s + 2)(s + 4)'&3 + 89s? + 311s + 300b) F(s):s(s + 2){s? + 8s + 15)22s2 + 60s + 58c) F(s)(s + 1)(s? + 4s -+ 5)'250(s + 7)(s + 14)s(s? + 14s + 50)d) F(s) 12.52 Apply the initial- and final-value theorems to eachtransform pair in Problem 12.40.

Answered: 892 + 37s + 32 а) F) (s + 1)(s + 2)(s +…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

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12.40 Find f(t) for each of the following functions:
82 + 37s + 32
a) F(s)
(s + 1)(s + 2)(s + 4)'
&3 + 89s? + 311s + 300
b) F(s):
s(s + 2){s? + 8s + 15)
22s2 + 60s + 58
c) F(s)
(s + 1)(s? + 4s -+ 5)'
250(s + 7)(s + 14)
s(s? + 14s + 50)
d) F(s)

12.52 Apply the initial- and final-value theorems to each
transform pair in Problem 12.40.

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GIVEN FUNCTION

$a . F (s) = \frac{8 s^{2} + 37 s + 32}{(s + 1) (s + 2) (s + 4)}$

$b . F (s) = \frac{8 s^{3} + 89 s^{2} + 311 s + 300}{s (s + 2) (s^{2} + 8 s + 15)}$

$c . F (s) = \frac{22 s^{2} + 60 s + 58}{(s + 1) (s^{2} + 4 s + 5)}$

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