Let f(t) be a function on [0,∞). The Laplace transform of f is the function Fdefined by the integral F(s) = est f(t)dt. Use this definition to determine the0Laplace transform of the following function.11 t, 0

We have to find the Laplace transformation of the function .

Let f(t) be a function on [0,∞). The Laplace transform of f is the function F defined by the integral F(s) = est (t)dt. Use this definition to determine the 0 Laplace transform of the following function. 11 t, 0

Let f(t) be a function on [0,∞). The Laplace transform of f is the function F defined by the integral F(s) = est (t)dt. Use this definition to determine the 0 Laplace transform of the following function. 11 t, 0

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter9: Multivariable Calculus

Section9.2: Partial Derivatives

Problem 47E

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Question

Let f(t) be a function on [0,∞). The Laplace transform of f is the function F
defined by the integral F(s) = est f(t)dt. Use this definition to determine the
0
Laplace transform of the following function.
11 t, 0<t<11
f(t) =
0,
11 <t
Set up the integral F(s).
11
F(s) =
e-st (11-t)dt
0
The Laplace transform of f(t) is F(s) =
(Type exact answers.)
for s#0, where F(0) =

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