   Chapter 16, Problem 13RQ

Chapter
Section
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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