Given the function f(1) = cos(31) Use the Laplace Transform table to convert this function into F(s). f(t) F(S) S

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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q9

Given the function
s(1) = cos(V31)
Use the Laplace Transform table to convert this function into F(s).
f(t)
F(S)
S
1
e41
S - A
N!
SN + 1
В
sin(B t)
s2 + B2
S
cos(B t)
s2 + B2
N!
N eA!
(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 s(1) = cos(V31) Use the Laplace Transform table to convert this function into F(s). f(t) F(S) S 1 e41 S - A N! SN + 1 В sin(B t) s2 + B2 S cos(B t) s2 + B2 N! N eA! (s - A)N +1 B eA ! sin(B t) (s - A)2 + B2 S - A eA cos(B t) (s - A)2 + B2
AF(s) =
S + V3
3
B
F(s) =
s2 + V3
S
OF(s) =
s2 + 3
S
DF(s)=
s2 + 3
1
E F(s) =
S + 3
V3
F(s):
s2 + 3
Transcribed Image Text:AF(s) = S + V3 3 B F(s) = s2 + V3 S OF(s) = s2 + 3 S DF(s)= s2 + 3 1 E F(s) = S + 3 V3 F(s): s2 + 3
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