Let f(t) be a function on [0, ∞). The Laplace transform of f is the function F defined by the 8 integral F(s) = 0 following function. f(t) = - 4t³ estf(t)dt. Use this definition to determine the Laplace transform of the 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
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 78E
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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
following function.
f(t) = - 4t³
estf(t)dt. Use this definition to determine the Laplace transform of the
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:Let f(t) be a function on [0, ∞). The Laplace transform of f is the function F defined by the integral F(s) = 0 following function. f(t) = - 4t³ estf(t)dt. Use this definition to determine the Laplace transform of the 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.) Search Clear all Check answe
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