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6-36a+6 Find ( cos t). Ana. (+1)4

6-36a+6 Find ( cos t). Ana. (+1)4

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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6a-36a + 6 (+1)4 Find ( cos t). Ana.
Transcribed Image Text:6a-36a + 6 (+1)4 Find ( cos t). Ana.
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f(t)=t^3\cos \left(t\right)

take Laplace

F(s)=L\left\{t^3\cos \left(t\right)\right\}

use the Laplace rule \:L\left\{t^kf\left(t\right)\right\}=\left(-1\right)^k\frac{d^k}{ds^k}\left(L\left\{f\left(t\right)\right\}\right)

F(s) =\left(-1\right)^3\frac{d^3}{ds^3}\left(L\left\{\cos \left(t\right)\right\}\right)

F(s) =\left(-1\right)\frac{d^3}{ds^3}\left(L\left\{\cos \:\left(t\right)\right\}\right)

F(s) =-\frac{d^3}{ds^3}\left(L\left\{\cos \:\left(t\right)\right\}\right)

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