Use Greens Theorem to evaluate the line integral along the given positively oriented curve c sin y dx x cos y dy, C is the ellipse x 2 xy y 2 1 Data from Green 's Theorem Let C be a positively oriented, piecewise smooth, simple closed curve in the plane and let D be the region bounded by C If P and...

Greens Theorem relates a line integral around a positively oriented closed curve ...

Use Greens Theorem to evaluate the line integral along the given positively oriented curve. c sin

Question:

Use Green’s Theorem to evaluate the line integral along the given positively oriented curve.

∫_c sin y dx + x cos y dy, C is the ellipse x² + xy + y² = 1

Data from Green's Theorem

Let C be a positively oriented, piecewise-smooth, simple closed curve in the plane and let D be the region bounded by C. If P and Q have continuous partial derivatives on an open region that contains D, then

If | Pdx + Q dy = D dA

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Calculus

ISBN: 9780495011606

6th Edition

Authors: James Stewart

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Question Posted: Nov 05, 2023 04:43 AM

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Use Greens Theorem to evaluate the line integral along the given positively oriented curve. c sin

Question:

If | Pdx + Q dy = D ах ар ду dA

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Greens Theorem relates a line integral around a positively oriented closed curve ...View the full answer

Calculus

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