What is the Laplace transform of the given function f(t) = 2t² cos² (2t)? 2s³ - 96 (s² + 16)³ 2s³ - 96 (s² + 16)³ A) F(s) = B) F(s) = 2 S3 2 S3 + - s + 16 s² + 16 2s(s 16) s² + 16 - C) F(s) D) F(s) = = 2 S3 2 1 S3 + -

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.7: Operations On Functions
Problem 58E
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What is the Laplace transform of the given function f(t) = 2t² cos² (2t)?
2s³ - 96
(s² + 16)³
2s³ - 96
(s² + 16)³
A) F(s) =
B)
F(s)
=
2
S3
2
S3
+
-
s + 16
s² + 16
2s(s 16)
s² + 16
C)
D)
F(s)
F(s)
=
2
ا
S3
2
-
=
S3
+
-
Transcribed Image Text:What is the Laplace transform of the given function f(t) = 2t² cos² (2t)? 2s³ - 96 (s² + 16)³ 2s³ - 96 (s² + 16)³ A) F(s) = B) F(s) = 2 S3 2 S3 + - s + 16 s² + 16 2s(s 16) s² + 16 C) D) F(s) F(s) = 2 ا S3 2 - = S3 + -
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