Let f(t) be a function on [0, ∞). The Laplace transform of f is the function F defined by the integral F(s) = J. 0 following function. estf(t)dt. Use this definition to determine the Laplace transform of the f(t)=sin bt, b a constant The Laplace transform of f(t) is F(s) = ☐ (Type an expression using s as the variable.) It is defined for s> (Type an integer or a fraction.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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Let f(t) be a function on [0, ∞). The Laplace transform of f is the function F defined by the
integral F(s) =
0
estf(t)dt. Use this definition to determine the Laplace transform of the
following function.
f(t) sin bt, b a constant
The Laplace transform of f(t) is F(s) = (Type an expression using s as the variable.)
It is defined for s> (Type an integer or a fraction.)
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Transcribed Image Text:Save Let f(t) be a function on [0, ∞). The Laplace transform of f is the function F defined by the integral F(s) = 0 estf(t)dt. Use this definition to determine the Laplace transform of the following function. f(t) sin bt, b a constant The Laplace transform of f(t) is F(s) = (Type an expression using s as the variable.) It is defined for s> (Type an integer or a fraction.) Q Search
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