Verify Green 's Theorem for the line integral ( oint C x y d x y d y ), where (C ) is the unit circle, oriented counterclockwise THEOREM 1 Green's Theorem Let D be a domain whose boundary ID is a simple closed curve, oriented counterclockwise If F and F2 have continuous partial deriva tives in an o...

Step 1 Evaluate the line integral We use the parametrization gammathetalanglecos theta sin thetaangl ...

Verify Green's Theorem for the line integral (oint_{C} x y d x+y d y), where (C) is

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Verify Green's Theorem for the line integral $\oint_{C} x y d x+y d y$, where $C$ is the unit circle, oriented counterclockwise.

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Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Verify Green's Theorem for the line integral Where C is the unit circle, oriented counterclockwise? xydx y dy,
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Verify Green's Theorem for the line integral (oint_{C} x y d x+y d y), where (C) is

Question:

THEOREM 1 Green's Theorem Let D be a domain whose boundary ID is a simple closed curve, oriented counterclockwise. If F and F2 have continuous partial deriva- tives in an open region containing D, then II (3-3) da dA & Fidx + Fdy = = 2

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Step 1 Evaluate the line integral We use the parametrization gammathetalanglecos theta sin thetaangl...View the full answer

Calculus

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