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Calculus: Early Transcendentals

8th Edition
James Stewart
ISBN: 9781285741550

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BuyFindarrow_forward

Calculus: Early Transcendentals

8th Edition
James Stewart
ISBN: 9781285741550
Textbook Problem

Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example that disproves the statement.

The work done by a conservative force field in moving a particle around a closed path is zero.

To determine

Whether the statement “The work done by conservative force field in moving particle around a closed path is zero” is true or false.

Explanation

Consider F be the vector field and conservative, then curlF=0 .

Write the expression for work done in a closed path.

Workdone=CFdr (1)

Write the expression for Stroke’s Theorem.

CFdr=ScurlFdS

Substitute ScurlFdS for

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Chapter 16 Solutions

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