16s Ans. 1) f(t) = 4t sin 2t (s2 + 4)2 %3D
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.5: Trigonometric Graphs
Problem 7E
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C.)
![MULTIPLICATION BY POWERS OF t
Find the Laplace transforms of the following functions:
16s
Ans.
1) f(t) = 4t sin 2t
(s? + 4)2
96s(s? – 1)
(s² + 1)ª
Ans.
2) f(t) = 4t3 sin t
6s4 – 36s? + 6
(s? + 1)4
Ans.
3) f(t) = t³ cos t
= t° cos](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff650a158-d3e9-4396-958d-f5b31c67ca5e%2F0cb43a84-e4fa-48ee-9364-08c45a33c125%2Fin4i3l_processed.png&w=3840&q=75)
Transcribed Image Text:MULTIPLICATION BY POWERS OF t
Find the Laplace transforms of the following functions:
16s
Ans.
1) f(t) = 4t sin 2t
(s? + 4)2
96s(s? – 1)
(s² + 1)ª
Ans.
2) f(t) = 4t3 sin t
6s4 – 36s? + 6
(s? + 1)4
Ans.
3) f(t) = t³ cos t
= t° cos
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