Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question
![**Current Objective**
Use the flux form of Green's Theorem
---
**Question**
Let \( C \) be the circle centered at the origin with radius 4 oriented clockwise, and let
\[ \mathbf{F}(x, y) = \langle 2x + 3y^2 + y - 6, -3x^3 + 2x - 4y - 6 \rangle. \]
Calculate the flux of \( \mathbf{F}(x, y) \) across \( C \).
Enter an exact answer.
**Provide your answer below:**
Flux =
[Answer box provided here]](https://content.bartleby.com/qna-images/question/13d2fa52-7679-4dbf-8ccf-e0669bc97f10/e0355cd2-f2cf-45f1-8dce-ba745eb1a76c/32v9tj_processed.png)
Transcribed Image Text:**Current Objective**
Use the flux form of Green's Theorem
---
**Question**
Let \( C \) be the circle centered at the origin with radius 4 oriented clockwise, and let
\[ \mathbf{F}(x, y) = \langle 2x + 3y^2 + y - 6, -3x^3 + 2x - 4y - 6 \rangle. \]
Calculate the flux of \( \mathbf{F}(x, y) \) across \( C \).
Enter an exact answer.
**Provide your answer below:**
Flux =
[Answer box provided here]
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