a. Explanation Given Information: From Table 2.2 , Laplace transform of e − a t f ( t ) is F [ s + a ] . From Table 2.1 , Laplace transform of sin ω t u ( t ) is ω s 2 + ω 2 . Calculation: Laplace transform of e − a t sin ω t u ( t ) is F [ s + a ] , where f ( t ) = sin ω t u ( t ) b. To determine The Laplace transform for the time function e − a t cos ω t u ( t ) . c. To determine The Laplace transform for the time function t 3 u ( t ) .

7th Edition

ISBN: 9781118170519

Author: Norman S. Nise

Publisher: WILEY

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Thermodynamic Relations

Thermodynamics is the division of physics that deals with the transfer of any kind of energy, whether it be heat, temperature, or work, from one object to another.

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Chapter 2, Problem 2P

To determine

The Laplace transform for the time function e−atsinωtu(t).

To determine

The Laplace transform for the time function e−atcosωtu(t).

To determine

The Laplace transform for the time function t3u(t).

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Chapter 2, Problem 1P

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Control Systems Engineering

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