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Use Theorem 7.4.1. THEOREM 7.4.1 Derivatives of Transforms If F(s) = £{f(t)} and n = 1, 2, 3, . . ., then £{t^f(t)} = (-1) d _F(s). ds" Evaluate the given Laplace transform. (Write your answer as a function of s.) {3t² cos(t)}

Use Theorem 7.4.1. THEOREM 7.4.1 Derivatives of Transforms If F(s) = £{f(t)} and n = 1, 2, 3, . . ., then £{t^f(t)} = (-1) d _F(s). ds" Evaluate the given Laplace transform. (Write your answer as a function of s.) {3t² cos(t)}

Algebra & Trigonometry with Analytic Geometry
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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Use Theorem 7.4.1. THEOREM 7.4.1 Derivatives of Transforms If F(s) = £{f(t)} and n = 1, 2, 3, . . ., then £{tf(t)} = (-1)" "_F(S). dsn Evaluate the given Laplace transform. (Write your answer as a function of s.) £{3t² cos(t)}
Transcribed Image Text:Use Theorem 7.4.1. THEOREM 7.4.1 Derivatives of Transforms If F(s) = £{f(t)} and n = 1, 2, 3, . . ., then £{tf(t)} = (-1)" "_F(S). dsn Evaluate the given Laplace transform. (Write your answer as a function of s.) £{3t² cos(t)}
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