Chapter 16.4, Problem 22E

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8th Edition

James Stewart

ISBN: 9781285741550

Textbook Problem

Let *D* be a region bounded by a simple closed path *C* in the *xy*-plane. Use Green’s Theorem to prove that the coordinates of the centroid (
*D* are

where *A* is the area of *D*.

To determine

**To prove**: The coordinates of centroid
*D* are

Explanation

**Formula used:**

Consider a region *D* bounded by a closed path *C*.

Write the Greenâ€™s Theorem in case of sample region *D*.

Here,

*A* is area.

Find the value of

Find the value of

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