Find the Laplace transform of the following function 1. f(t) = sin(2t) cos(2t) Show your complete solution: Using the double angle trigonometric identity, the function f(t) can be rewritten as f(t)=sin(4t). Thus LS (1)| = 3/²/16 (t)}
Find the Laplace transform of the following function 1. f(t) = sin(2t) cos(2t) Show your complete solution: Using the double angle trigonometric identity, the function f(t) can be rewritten as f(t)=sin(4t). Thus LS (1)| = 3/²/16 (t)}
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter5: Exponential And Logarithmic Functions
Section5.2: Applications Of Exponential Functions
Problem 48E
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![Find the Laplace transform of the following function.
1. f(t) = sin(2t) cos(2t)
Show your complete solution:
Using the double angle trigonometric identity, the function f(t) can be rewritten as
ƒ(t)=—=sin(4t).
2
Thus_ £{f(1) = 37²/16](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8216d341-1ee7-4b41-8e9b-6254b72d8b85%2F264ab306-8bc8-4271-9fc2-a1402cd46f79%2Fxwmn83l_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Find the Laplace transform of the following function.
1. f(t) = sin(2t) cos(2t)
Show your complete solution:
Using the double angle trigonometric identity, the function f(t) can be rewritten as
ƒ(t)=—=sin(4t).
2
Thus_ £{f(1) = 37²/16
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