Given the function f(1) = e2' cos(3 1) Use the Laplace Transform table to convert this function into F(s). f(t)

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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S - 2
A
F(s) =
(s - 2)2 + 3
3
B F(s)
(s - 2)2 + 9
2
©F(s)
(s - 3)2 + 4
S - 3
D F(s)
(s - 3)2 + 2
S - 3
E F(s)=
(s - 3)2 + 4
S - 2
F(s)
(s - 2)2 + 9
Transcribed Image Text:S - 2 A F(s) = (s - 2)2 + 3 3 B F(s) (s - 2)2 + 9 2 ©F(s) (s - 3)2 + 4 S - 3 D F(s) (s - 3)2 + 2 S - 3 E F(s)= (s - 3)2 + 4 S - 2 F(s) (s - 2)2 + 9
Given the function
f(1) = e2' cos(3 1)
Use the Laplace Transform table to convert this function into F(s).
f(t)
F(S)
1
S
1
e41
S - A
N!
SN + 1
B
sin (B t)
s2 + B2
S
cos(B t)
s2 + B2
N!
N eAt
(s - A)N + 1
B
eA! sin(B t)
(s - A)2 + B2
S - A
eA cos(B t)
(s - A)2 + B2
Transcribed Image Text:Given the function f(1) = e2' cos(3 1) Use the Laplace Transform table to convert this function into F(s). f(t) F(S) 1 S 1 e41 S - A N! SN + 1 B sin (B t) s2 + B2 S cos(B t) s2 + B2 N! N eAt (s - A)N + 1 B eA! sin(B t) (s - A)2 + B2 S - A eA cos(B t) (s - A)2 + B2
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