Let (mathbf{F}(x, y)=langle y, xangle). Prove that if (C) is any path from ((a, b)) to ((c,

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Let $\mathbf{F}(x, y)=\langle y, xangle$. Prove that if $C$ is any path from $(a, b)$ to $(c, d)$, then

\[
\int_{C} \mathbf{F} \cdot d \mathbf{r}=c d-a b
\]

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Jan 24, 2024 08:03 AM

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Let (mathbf{F}(x, y)=langle y, xangle). Prove that if (C) is any path from ((a, b)) to ((c,

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We denote a parametrization of the path by By the Theorem on Vector Line Integ...View the full answer

Calculus

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