A F(s). s2 + 4 1 B F(s) s? + 2 1 ©F(s) S - 2 DF(s). S + 2 S E F(s) s2 + 4 S - 2 FF(s) = (s - 2)2 + 4 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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q1

2
A F(s)
s2 + 4
B F(s) =
s2 + 2
1
© F(s) =
S - 2
1
DF(s) =
S + 2
S
E F(s) =
s2 + 4
S - 2
F
F(s) =
(s - 2)2 + 4
F
Transcribed Image Text:2 A F(s) s2 + 4 B F(s) = s2 + 2 1 © F(s) = S - 2 1 DF(s) = S + 2 S E F(s) = s2 + 4 S - 2 F F(s) = (s - 2)2 + 4 F
Given the function
f(t) = cos(21)
Use the Laplace Transform table to convert this function into f(t).
f(t)
F(S)
1
1
S
1
S - A
N!
sN + 1
В
sin (B t)
s2 + B2
S
cos (B t)
s2 + B2
N!
N eAt
(s - A)N + 1
В
eAl sin( B t)
(s - A)2 + B2
S - A
eAl cos(B t)
(s - A)2 + B2
Transcribed Image Text:Given the function f(t) = cos(21) Use the Laplace Transform table to convert this function into f(t). f(t) F(S) 1 1 S 1 S - A N! sN + 1 В sin (B t) s2 + B2 S cos (B t) s2 + B2 N! N eAt (s - A)N + 1 В eAl sin( B t) (s - A)2 + B2 S - A eAl cos(B t) (s - A)2 + B2
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