Let f(t) be a function on [0, ∞o). The Laplace transform of f is the function F defined by the integral F(s) = transform of the following function. 2-t, 0

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Let f(t) be a function on [0, ∞o). The Laplace transform of f is the function F defined by the integral F(s) =
transform of the following function.
2-t, 0<t<2
f(t) =
0, 2<t
The Laplace transform of f(t) is F(s) = for s and F(s) = 2 otherwise.
(Type exact answers.)
Sestf(t)dt. Use this definition to determine the Laplace
0
Transcribed Image Text:Let f(t) be a function on [0, ∞o). The Laplace transform of f is the function F defined by the integral F(s) = transform of the following function. 2-t, 0<t<2 f(t) = 0, 2<t The Laplace transform of f(t) is F(s) = for s and F(s) = 2 otherwise. (Type exact answers.) Sestf(t)dt. Use this definition to determine the Laplace 0
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