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Using Green's Theorem to Verify a Formula In Exercises 33 and 34, use Green’s Theorem to verify the line integral formula(s). The centroid of the region having area A bounded by the simple closed path C has coordinates x ¯ = 1 2 A ∫ C x 2 d y and y ¯ = − 1 2 A ∫ C y 2 d x .

Using Green's Theorem to Verify a Formula In Exercises 33 and 34, use Green’s Theorem to verify the line integral formula(s). The centroid of the region having area A bounded by the simple closed path C has coordinates x ¯ = 1 2 A ∫ C x 2 d y and y ¯ = − 1 2 A ∫ C y 2 d x .

Calculus

11th Edition

ISBN: 9780357246412

Author: Ron Larson; Bruce H. Edwards

Publisher: Cengage Limited

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Textbook Question

Chapter 15.4, Problem 33E

Using Green's Theorem to Verify a Formula In Exercises 33 and 34, use Green’s Theorem to verify the line integral formula(s).

The centroid of the region having area A bounded by the simple closed path C has coordinates

x ¯ = 1 2 A ∫ C x 2 d y and y ¯ = − 1 2 A ∫ C y 2 d x .

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Chapter 15.4, Problem 32E

Chapter 15.4, Problem 34E

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Area Between The Curve Problem No 1 - Applications Of Definite Integration - Diploma Maths II; Author: Ekeeda;https://www.youtube.com/watch?v=q3ZU0GnGaxA;License: Standard YouTube License, CC-BY