Given the function f(t) = 4 e3 Use the Laplace Transform table to convert this function into F(s). f(t) F(S) S S - A N! SN +1 B sin(B t) s2 + B2 S cos(B 1) s2 + B2 N! (s - A)N + 1 B eAl sin Bt) (s - A)2 + B2 S - A eA' cos(B t) (s - A)2 + B2 COS - 15

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.3: Polynomials And Special Products
Problem 8ECP: Find the product of x2+3y and x23y.
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q8

24
A F(s) =
(s - 3)4 + 1
12
B F(s) =
(s - 3)5
6
O F(s) =
(s - 4)4
24
O F(s) -
(s - 3)5
12
E F(s) =
(s - 4)3
4
F(s) =
%3D
(s - 3)5
Transcribed Image Text:24 A F(s) = (s - 3)4 + 1 12 B F(s) = (s - 3)5 6 O F(s) = (s - 4)4 24 O F(s) - (s - 3)5 12 E F(s) = (s - 4)3 4 F(s) = %3D (s - 3)5
Given the function
f(1) = 14 e31
Use the Laplace Transform table to convert this function into F(S).
f(t)
F(S)
1
1
S
S - A
N!
SN + 1
В
sin(B t)
s2 + B2
S
cos(B t)
s2 + B2
N!
(s - A)N + 1
В
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) = 14 e31 Use the Laplace Transform table to convert this function into F(S). f(t) F(S) 1 1 S S - A N! SN + 1 В sin(B t) s2 + B2 S cos(B t) s2 + B2 N! (s - A)N + 1 В eA! sin(B t) (s - A)2 + B2 S - A eA cos(B t) (s - A)2 + B2
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