Explanation Given: The function, f ( t ) = s i n h a t . Formula used: The Laplace transformation for a function is defined as the following: F ( s ) = ∫ 0 ∞ e − s t f ( t ) d t Where the improper integral exists. Calculation: The given function f ( t ) = s i n h a t has to be converted to Laplace form: F ( s ) = ∫ 0 ∞ s i n h a t e − s t d t = lim b → ∞ ∫ 0 b e − s t ( e a t − e − a t 2 ) d t = lim b → ∞ ∫ 0 b ( e ( a − s ) t − e

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ISBN: 9781285057095

Author: Ron Larson, Bruce H. Edwards

Publisher: Cengage Learning

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Chapter 8.8, Problem 102E

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To calculate: The Laplace Transformation of the function f(t)=sinhat

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Chapter 8.8, Problem 101E

Chapter 8.8, Problem 103E

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Chapter 8 Solutions

Calculus

Ch. 8.1 - Choosing an Antiderivative In Exercises 3 and 4,...Ch. 8.1 - Choosing an Antiderivative In Exercises 3 and 4,...Ch. 8.1 - Prob. 3E Ch. 8.1 - Prob. 4E Ch. 8.1 - Choosing a Formula In Exercises 514, select the...Ch. 8.1 - Prob. 6E Ch. 8.1 - Choosing a Formula In Exercises 514, select the...Ch. 8.1 - Prob. 8E Ch. 8.1 - Prob. 9E Ch. 8.1 - Prob. 10E

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The Laplace Transformation of the function f ( t ) = s i n h a t

Solution Summary: The author explains the Laplace transformation of the function f(t)=sinhat.

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