Question Let C' be the circle centered at the origin with radius 4 oriented clockwise, and let F(x, y) = (2x + 3y² + y −6, −3x³ + 2x − 4y - 6). Calculate the flux of F(x, y) across C. Enter an exact answer. Provide your answer below: Flux =
Question Let C' be the circle centered at the origin with radius 4 oriented clockwise, and let F(x, y) = (2x + 3y² + y −6, −3x³ + 2x − 4y - 6). Calculate the flux of F(x, y) across C. Enter an exact answer. Provide your answer below: Flux =
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
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]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F13d2fa52-7679-4dbf-8ccf-e0669bc97f10%2Fe0355cd2-f2cf-45f1-8dce-ba745eb1a76c%2F32v9tj_processed.png&w=3840&q=75)
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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