Let C be a simple closed smooth curve that lies in the plane x y z 1 Show that the line integral C z dx 2x dy 3ydz depends only on the area of the region enclosed by C and not on the shape of C or its location in the plane ...

Let S be the surface in the plane x y z 1 with upward orientation enclosed by C Then ...

Let C be a simple closed smooth curve that lies in the plane x + y +

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Let C be a simple closed smooth curve that lies in the plane x + y + z = 1. Show that the line integral
ʃ_Cz dx - 2x dy + 3ydz
depends only on the area of the region enclosed by C and not on the shape of C or its location in the plane.

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Calculus Early Transcendentals

ISBN: 978-1285741550

8th edition

Authors: James Stewart

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Question Posted: Apr 13, 2019 01:28 PM

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Let C be a simple closed smooth curve that lies in the plane x + y +

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