Program Explanation Given information: The function f ( t ) can be written as, f ( t ) = { 0 t < 3 cos 1 2 π t 3 ≤ t ≤ 5 0 t > 5 Calculation: Write the function f ( t ) in terms of unit step function as shown below. f ( t ) = cos 1 2 π t ( u ( t − 3 ) − u ( t − 5 ) ) = u ( t − 3 ) cos 1 2 π t − u ( t − 5 ) cos 1 2 π t = u ( t − 3 ) ( − sin ( 3 π 2 − π t 2 ) ) − u ( t − 5 ) sin ( 5 π 2 − π t 2 ) = u ( t − 3 ) sin π 2 ( t − 3 ) + u ( t − 5 ) sin π 2 ( t − 5 ) Take the Laplace transform of the function f ( t ) as shown below. L { f ( t ) } = L { u ( t − 3 ) sin π 2 ( t − 3 ) + u ( t − 5 ) sin π 2 ( t − 5 ) } = L { u ( t − 3 ) sin π 2 ( t − 3

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ISBN: 9780321974235

Author: Calvis

Publisher: PEARSON CUSTOM PUB.(CONSIGNMENT)

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A naïve solution for the above-stated problem is to evaluate all of the possible combinations of different pieces of varying size to find the maximum revenue-generating combination. Although this method seems the easiest and quick to practice, it has exp…

Question

Chapter 7.5, Problem 18P

Program Plan Intro

Program Description: Purpose of the problem is to obtain the Laplace transform F(s) for the function f(t)=cos12πt if 3≤t≤5;f(t)=0 if t<3 or if t>5 .

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Chapter 7.5, Problem 17P

Chapter 7.5, Problem 19P

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Chapter 7 Solutions

EBK DIFFERENTIAL EQUATIONS

Ch. 7.1 - Apply the definition in (1) to find directly tile...Ch. 7.1 - Prob. 2P Ch. 7.1 - Prob. 3P Ch. 7.1 - Prob. 4P Ch. 7.1 - Prob. 5P Ch. 7.1 - Prob. 6P Ch. 7.1 - Prob. 7P Ch. 7.1 - Prob. 8P Ch. 7.1 - Prob. 9P Ch. 7.1 - Prob. 10P

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Program Description: Purpose of the problem is to obtain the Laplace transform F ( s ) for the function f ( t ) = cos 1 2 π t if 3 ≤ t ≤ 5 ; f ( t ) = 0 if t < 3 or if t > 5 .

Solution Summary: The author explains how the function f(t) can be written in terms of unit step function.

Concept explainers

Program Description: Purpose of the problem is to obtain the Laplace transform F(s) for the function f(t)=cos12πt if 3≤t≤5;f(t)=0 if t<3 or if t>5 .

Want to see the full answer?

Chapter 7 Solutions

Program Description: Purpose of the problem is to obtain the Laplace transform F ( s ) for the function f ( t ) = cos 1 2 π t if 3 ≤ t ≤ 5 ; f ( t ) = 0 if t &lt; 3 or if t &gt; 5 .

Solution Summary: The author explains how the function f(t) can be written in terms of unit step function.

Concept explainers

Program Description: Purpose of the problem is to obtain the Laplace transform F(s) for the function f(t)=cos12πt if 3≤t≤5;f(t)=0 if t<3 or if t>5 .

Want to see the full answer?

Chapter 7 Solutions

Program Description: Purpose of the problem is to obtain the Laplace transform F ( s ) for the function f ( t ) = cos 1 2 π t if 3 ≤ t ≤ 5 ; f ( t ) = 0 if t < 3 or if t > 5 .