s²+3 (s-3)(s+5)(s-1)²

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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 Answer #1 and find the Inverse Laplace Transform of the functions by reduction to partial fractions.

Refer to the given answer choices so that I will know if my solution is wrong.

s² +3
1.
(s-3)(s+5)(s-1)²
s2-s+3
2.
s³ (s+5)(s-2)
s-8
3. -
(s-3)(s²+2s+17)
4.
(s+1)²(s²-4s+85)
s²+5s-2
5.
(s+1)²(s-1)(s-7)
Transcribed Image Text:s² +3 1. (s-3)(s+5)(s-1)² s2-s+3 2. s³ (s+5)(s-2) s-8 3. - (s-3)(s²+2s+17) 4. (s+1)²(s²-4s+85) s²+5s-2 5. (s+1)²(s-1)(s-7)
Problem 1. Which gives the inverse transforms of the given s-domain function?
O [(e^-5t)/72](24te^6t - 20e^6t + 27e^8t - 7)
O [(e^5t)/72](-24te^6t - 20e^6t + 27e^8t - 7)
O [(e^-5t)/72](-24te^6t + 20e^6t - 27e^8t - 7)
O [(e^-5t)/72](-24te^6t - 20e^6t + 27e^8t - 7)
Transcribed Image Text:Problem 1. Which gives the inverse transforms of the given s-domain function? O [(e^-5t)/72](24te^6t - 20e^6t + 27e^8t - 7) O [(e^5t)/72](-24te^6t - 20e^6t + 27e^8t - 7) O [(e^-5t)/72](-24te^6t + 20e^6t - 27e^8t - 7) O [(e^-5t)/72](-24te^6t - 20e^6t + 27e^8t - 7)
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