a. Set up an integral for finding the Laplace transform of f(t) = t + 6. F(s) = L {f(t)} = where A = 0 B -((1+s(t-6))e^ (-st))/(s^2) e^(-st)(t+6)dt (0,inf) and B= infinity b. Find the antiderivative (with constant term 0) corresponding to the previous part. help (formulas) c. Evaluate appropriate limits to compute the Laplace transform of f(t): F(s) = L {f(t)} = (1+6s)/s^2 d. Where does the Laplace transform you found exist? In other words, what is the domain of F(s)? help (inequalities)

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.
Chapter6: Applications Of The Derivative
Section6.CR: Chapter 6 Review
Problem 41CR
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a. Set up an integral for finding the Laplace transform of f(t) = t + 6.
F(s) = L {f(t)} =
where A = 0
B
-((1+s(t-6))e^ (-st))/(s^2)
e^(-st) (t+6)dt
(0,inf)
and B= infinity
b. Find the antiderivative (with constant term 0) corresponding to the previous part.
help (formulas)
c. Evaluate appropriate limits to compute the Laplace transform of f(t):
F(s) = L {f(t)} = (1+6s)/s^2
d. Where does the Laplace transform you found exist? In other words, what is the domain of F(s)?
help (inequalities)
Transcribed Image Text:a. Set up an integral for finding the Laplace transform of f(t) = t + 6. F(s) = L {f(t)} = where A = 0 B -((1+s(t-6))e^ (-st))/(s^2) e^(-st) (t+6)dt (0,inf) and B= infinity b. Find the antiderivative (with constant term 0) corresponding to the previous part. help (formulas) c. Evaluate appropriate limits to compute the Laplace transform of f(t): F(s) = L {f(t)} = (1+6s)/s^2 d. Where does the Laplace transform you found exist? In other words, what is the domain of F(s)? help (inequalities)
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