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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 area of the region bounded by the positively oriented, piecewise smooth, simple closed curse C is A = ∮C y dx.

To determine

Whether the statement “The area of the region bounded by the positively oriented, piecewise smooth, simple closed curve C is A=Cydx ” is true or false.

Explanation

Given data:

A=Cydx (1)

Formula used:

Consider the expression to find area (A) from Green’s theorem.

A=Cx dy=Cydx=12Cx

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Chapter 16 Solutions

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