Explanation Given: Let ∮ C 2 F . d r = 12 and ∂ F 2 ∂ x − ∂ F 1 ∂ y = − 3 in D . The figure is: Formula used: Green’s Theorem: ∫ C 1 F d r − ∫ C 2 F d r = ∬ D ( ∂ F 2 ∂ x − ∂ F 1 ∂ y ) d x d y Calculation: We have to find the value of ∮ C 1 F . d r . Green’s Theorem: ∫ C 1 F d r − ∫ C 2 F d r = ∬ D ( ∂ F 2 ∂ x − ∂ F 1 ∂ y ) d x d y … (1) Substitute the value of ∮ C 2 F . d r = 12 and ∂ F 2 ∂ x − ∂ F 1 ∂ y = − 3 in equation (1)...

4th Edition

ISBN: 9781319434540

Author: Rogawski

Publisher: MAC HIGHER

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Chapter 18.1, Problem 28E

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Use the Green’s Theorem to determine $\oint_{C_{1}} F . d r$ .

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Chapter 18.1, Problem 27E

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Chapter 18 Solutions

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