Let C' be the circle centered at the origin with radius 3 oriented counterclockwise, and let F(x, y) = (−3x − 9y³ + 3y² +3, 3x³ — 5y – 4). Calculate the flux of F(x, y) across C
Let C' be the circle centered at the origin with radius 3 oriented counterclockwise, and let F(x, y) = (−3x − 9y³ + 3y² +3, 3x³ — 5y – 4). Calculate the flux of F(x, y) across C
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 3 oriented counterclockwise, and let
\[
\mathbf{F}(x, y) = \langle -3x - 9y^3 + 3y^2 + 3, 3x^3 - 5y - 4 \rangle.
\]
Calculate the flux of \( \mathbf{F}(x, y) \) across \( C \).
Enter an exact answer.
**Provide your answer below:**
Flux = \(\underline{\quad \quad}\)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F13d2fa52-7679-4dbf-8ccf-e0669bc97f10%2Fd08602cd-88f0-4f8e-b76c-360a41b3a0dd%2Fqkqoydg_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 3 oriented counterclockwise, and let
\[
\mathbf{F}(x, y) = \langle -3x - 9y^3 + 3y^2 + 3, 3x^3 - 5y - 4 \rangle.
\]
Calculate the flux of \( \mathbf{F}(x, y) \) across \( C \).
Enter an exact answer.
**Provide your answer below:**
Flux = \(\underline{\quad \quad}\)
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