Let C be the circle centered at the origin with radius 1 oriented clockwise, and let F(x, y) = ( −6x + 6y³ – 7y² − 1, x³ − 9x + 7y-7). Calculate the flux of F(x, y) across C. Enter an exact answer. Sorry, that's incorrect. Try again? Flux = π
Let C be the circle centered at the origin with radius 1 oriented clockwise, and let F(x, y) = ( −6x + 6y³ – 7y² − 1, x³ − 9x + 7y-7). Calculate the flux of F(x, y) across C. Enter an exact answer. Sorry, that's incorrect. Try again? Flux = π
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![### Problem Statement
Let \( C \) be the circle centered at the origin with radius 1 oriented clockwise, and let
\[
\mathbf{F}(x, y) = \langle -6x + 6y^3 - 7y^2 - 1, \, x^3 - 9x + 7y - 7 \rangle.
\]
Calculate the flux of \( \mathbf{F}(x, y) \) across \( C \).
### Answer
Enter an exact answer.
**Response:**
The message "Sorry, that's incorrect. Try again?" appears in a red box.
There is a field to enter the flux, and the entry made is:
\[
\text{Flux} = \pi
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F13d2fa52-7679-4dbf-8ccf-e0669bc97f10%2Fb1b44dea-0063-4cd4-a748-7a798543cf32%2Fvusak7f_processed.png&w=3840&q=75)
Transcribed Image Text:### Problem Statement
Let \( C \) be the circle centered at the origin with radius 1 oriented clockwise, and let
\[
\mathbf{F}(x, y) = \langle -6x + 6y^3 - 7y^2 - 1, \, x^3 - 9x + 7y - 7 \rangle.
\]
Calculate the flux of \( \mathbf{F}(x, y) \) across \( C \).
### Answer
Enter an exact answer.
**Response:**
The message "Sorry, that's incorrect. Try again?" appears in a red box.
There is a field to enter the flux, and the entry made is:
\[
\text{Flux} = \pi
\]
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