(5, Consider the function: f(t)=t-5, t< 5, 5 6. a. Represent f(t) using a combination of Heaviside step functions. Use h(t- c) for the Heaviside function he(t). f(t) = b. Find the Laplace transform F(s) = L {f(t)}. F(s) = L {f(t)} =

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 39CT: The population P (in millions) of Texas from 2001 through 2014 can be approximated by the model...
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Consider the function: f(t) =
(5,
t-5,
2,
F(s) = L {f(t)} =
a. Represent f(t) using a combination of Heaviside step functions. Use h(t- c) for the Heaviside
function he(t).
t< 5,
5 < t < 6,
t> 6.
f(t) =
=
b. Find the Laplace transform F(s) = L {f(t)}.
P
b
Transcribed Image Text:Consider the function: f(t) = (5, t-5, 2, F(s) = L {f(t)} = a. Represent f(t) using a combination of Heaviside step functions. Use h(t- c) for the Heaviside function he(t). t< 5, 5 < t < 6, t> 6. f(t) = = b. Find the Laplace transform F(s) = L {f(t)}. P b
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