Answer All of the Questions Below 1. Find the inverse Laplace Transform of the following function below. i. F(s) = s+ 5 s? + 8s + 65 ix. F(s) = %3D 49 7s + 21

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Answer All of the Questions Below
1.
Find the inverse Laplace Transform of the following function below.
i. F(s) =
s+ 5
s? + 8s + 65
ix. F(s)
49
%3D
7s + 21
ii. F(s)
5s² + 14s + 2
(s-2)(s+4)?
%3D
х. F(s)
3s
%3D
(s+3)² + 64
ii. F(s)
3s + 4
s² + 16
%3D
xi. F(s)
2s - 3
2s2 - 8s + 16
%3D
iv. F(s) =
5s² + 14s + 2
(s-2) (s+3)²
xii. F(s) =,
s² + 12
s (s+1)(s+3)
v. F(s)
s + 5
(s+3) + 9
%3D
xii. F(s)
10s² + 4
s (s+1)(s+2)²
%3D
vi. F(s)
8s + 2
s? + 3s + 2
%3D
xiii. F(s) =
s (s² + 6s + 9)
= s² + 3s + 1
(s? + s)
vii. F(s)
3s + 2
s? + 3s + 2
xiv. F(s) =
viii. F(s)
8(s + 2)
(s+1)(s+3)(s+5)
%3D
Transcribed Image Text:Answer All of the Questions Below 1. Find the inverse Laplace Transform of the following function below. i. F(s) = s+ 5 s? + 8s + 65 ix. F(s) 49 %3D 7s + 21 ii. F(s) 5s² + 14s + 2 (s-2)(s+4)? %3D х. F(s) 3s %3D (s+3)² + 64 ii. F(s) 3s + 4 s² + 16 %3D xi. F(s) 2s - 3 2s2 - 8s + 16 %3D iv. F(s) = 5s² + 14s + 2 (s-2) (s+3)² xii. F(s) =, s² + 12 s (s+1)(s+3) v. F(s) s + 5 (s+3) + 9 %3D xii. F(s) 10s² + 4 s (s+1)(s+2)² %3D vi. F(s) 8s + 2 s? + 3s + 2 %3D xiii. F(s) = s (s² + 6s + 9) = s² + 3s + 1 (s? + s) vii. F(s) 3s + 2 s? + 3s + 2 xiv. F(s) = viii. F(s) 8(s + 2) (s+1)(s+3)(s+5) %3D
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