2. Laplace Transform of an Integral and a Derivative (a) Consider the function, f(t) = So exp(-37) cos(27)dr. Without integrating, determine the Laplace transform of f(t). (b) Consider the funtion, f(t) = t(d/dt)[exp(-t) cos(t)]. Without carrying out the differ- entiation, determine the Laplace transform of f(t).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 77E
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2. Laplace Transform of an Integral and a Derivative
(a) Consider the function, f(t) = So exp(-37) cos(27)dr. Without integrating, determine
the Laplace transform of f(t).
(b) Consider the funtion, f(t) = t(d/dt)[exp(-t) cos(t)]. Without carrying out the differ-
entiation, determine the Laplace transform of f(t).
Transcribed Image Text:2. Laplace Transform of an Integral and a Derivative (a) Consider the function, f(t) = So exp(-37) cos(27)dr. Without integrating, determine the Laplace transform of f(t). (b) Consider the funtion, f(t) = t(d/dt)[exp(-t) cos(t)]. Without carrying out the differ- entiation, determine the Laplace transform of f(t).
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