Given the function s(1) = 8

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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O F(o) -
8.
A F(s)
S
(B
B F(s)
8 S
© F(s) = 8
8
D F(s)
s2
E F(s) = 0
O F(.) -
S
00
Transcribed Image Text:O F(o) - 8. A F(s) S (B B F(s) 8 S © F(s) = 8 8 D F(s) s2 E F(s) = 0 O F(.) - S 00
Given the function
s(i) = 8
Use the Laplace Transform table to convert this function into F(s).
f(t)
F(S)
S
1
S - A
N!
SN
+ 1
В
sin(B t)
s2 + B2
S
cos (B t)
s2 + B2
N!
(s - A)N +1
B
eA! sin(B t)
(s - A)2 + B2
S - A
eA' cos (B t)
(s - A)? + B?
Transcribed Image Text:Given the function s(i) = 8 Use the Laplace Transform table to convert this function into F(s). f(t) F(S) S 1 S - A N! SN + 1 В sin(B t) s2 + B2 S cos (B t) s2 + B2 N! (s - A)N +1 B eA! sin(B t) (s - A)2 + B2 S - A eA' cos (B t) (s - A)? + B?
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