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Theorem 10.3.3 Let f be in E(0, o0). If f is periodic on [0, 00) with period T, then 1 L[f] e-st f (t)dt. - e-sT

Theorem 10.3.3 Let f be in E(0, o0). If f is periodic on [0, 00) with period T, then 1 L[f] e-st f (t)dt. - e-sT

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.5: Applications
Problem 17EQ
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Use Theorem10.3.3,together with the fact that f(t)= sinat is periodic on the interval [0,2π/a], to determine L[f].

Theorem 10.3.3 Let f be in E(0, o0). If f is periodic on [0, 00) with period T, then 1 L[f] e-st f (t)dt. - e-sT
Transcribed Image Text:Theorem 10.3.3 Let f be in E(0, o0). If f is periodic on [0, 00) with period T, then 1 L[f] e-st f (t)dt. - e-sT
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