ition 7.1.1, DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t 2 0. Then the integral Lif(t)} = e-stf(t) dt is said to be the Laplace transform of f, provided that the integral converges. o find {f(t)}. (Write your answer as a function of s.) (cos(t), 10, ost 0)

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Use Definition 7.1.1,
DEFINITION 7.1.1 Laplace Transform
Let f be a function defined for t≥ 0. Then the integral
00
L{f(t)} =
e-stf(t) dt
is said to be the Laplace transform of f, provided that the integral converges.
to find L{f(t)}. (Write your answer as a function of s.)
F(t) = {cos(t),
L{f(t)} =
0 ≤t<n
† Σπ
(s > 0)
Transcribed Image Text:Use Definition 7.1.1, DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t≥ 0. Then the integral 00 L{f(t)} = e-stf(t) dt is said to be the Laplace transform of f, provided that the integral converges. to find L{f(t)}. (Write your answer as a function of s.) F(t) = {cos(t), L{f(t)} = 0 ≤t<n † Σπ (s > 0)
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