5.66. Show that ifx(t) →X(@)thend"x(t)x(">( t) =dt"→ (jw)" X(w)Hint: Repeat the time-differentiation property (5.55).

we need to prove the given equation using time differentiation property:

Answered: 5.66. Show that if x(t) →X(@) then…

5.66. Show that if x(t) →X(@) then d"x(t) x(")( t) = → (jw)" X(w) dt" Hint: Repeat the time-differentiation property (5.55).

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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Question

5.66. Show that if
x(t) →X(@)
then
d"x(t)
x(">( t) =
dt"
→ (jw)" X(w)
Hint: Repeat the time-differentiation property (5.55).

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