1. Find the inverse Laplace transform f(t) = L¯¹{F(s)}. 3 a. F(s) = + S S-4 5 b. F(s) = 12/53 c. F(s) = d. F(s) = $5 + 2s S s²+9 - 1 3s+6 S²+16 (S-1)²+4 7s-11 S²-s-6 e. F(s) = - s²-8s+4 s³-4s²+4s 3s3+5s2+22s+15 f. F(s) = (s²+4)(s²+9) 5s²+9s+14 g. F(s) = (s+3)(s²+2s+5)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
Problem 31E
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c through g please

1. Find the inverse Laplace transform f(t) = L¯¹{F(s)}.
3
a. F(s) =
+
S
S-4
5
b. F(s) = 12/53
c. F(s) =
d. F(s) =
$5
+
2s
S
s²+9
-
1
3s+6 S²+16
(S-1)²+4
7s-11
S²-s-6
e. F(s) = -
s²-8s+4
s³-4s²+4s
3s3+5s2+22s+15
f. F(s)
=
(s²+4)(s²+9)
5s²+9s+14
g. F(s) =
(s+3)(s²+2s+5)
Transcribed Image Text:1. Find the inverse Laplace transform f(t) = L¯¹{F(s)}. 3 a. F(s) = + S S-4 5 b. F(s) = 12/53 c. F(s) = d. F(s) = $5 + 2s S s²+9 - 1 3s+6 S²+16 (S-1)²+4 7s-11 S²-s-6 e. F(s) = - s²-8s+4 s³-4s²+4s 3s3+5s2+22s+15 f. F(s) = (s²+4)(s²+9) 5s²+9s+14 g. F(s) = (s+3)(s²+2s+5)
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