Recall that cos bt= elbt+ e-ibt 2 and that sin bt = elbt-e-ibt Find the Laplace transform of the given function; a and b are real constants. Assume that the necessary elementary integration formulas extend to this case. (Express your answer in terms of a, b, and s. Assume that s> a.) f(t) et sin bt £{f(t)} =

Recall that cos bt= elbt+ e-ibt 2 and that sin bt = elbt-e-ibt Find the Laplace transform of the given function; a and b are real constants. Assume that the necessary elementary integration formulas extend to this case. (Express your answer in terms of a, b, and s. Assume that s> a.) f(t) et sin bt £{f(t)} =

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter2: Graphical And Tabular Analysis

Section2.1: Tables And Trends

Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...

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Recall that cos bt=
elbt
+ e-ibt
2
and that sin bt =
Find the Laplace transform of the given function; a and b are real constants. Assume that the necessary elementary integration formulas extend to this case.
(Express your answer in terms of a, b, and s. Assume that s> a.)
e-ibt
2/
f(t) = eat sin bt
£{f(t)} =
eibt

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