Let C be the circle centered at the origin with radius 4 oriented clockwise, and let F(x, y) = (2x + 5y³ – 10, −11x³ – 10y − 3). Calculate the flux of F(x, y) across C. Enter an exact answer. Provide your answer below: Flux =
Let C be the circle centered at the origin with radius 4 oriented clockwise, and let F(x, y) = (2x + 5y³ – 10, −11x³ – 10y − 3). 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
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![Let \( C \) be the circle centered at the origin with radius \( 4 \) oriented clockwise, and let
\[
\mathbf{F}(x, y) = \langle 2x + 5y^3 - 10, \, -11x^3 - 10y - 3 \rangle.
\]
Calculate the flux of \( \mathbf{F}(x, y) \) across \( C \).
Enter an exact answer.
Provide your answer below:
Flux \( = \) [ ]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F13d2fa52-7679-4dbf-8ccf-e0669bc97f10%2F41b5cba2-0f95-423b-aa33-94163cd6b12f%2Fmpxpda8_processed.png&w=3840&q=75)
Transcribed Image Text:Let \( C \) be the circle centered at the origin with radius \( 4 \) oriented clockwise, and let
\[
\mathbf{F}(x, y) = \langle 2x + 5y^3 - 10, \, -11x^3 - 10y - 3 \rangle.
\]
Calculate the flux of \( \mathbf{F}(x, y) \) across \( C \).
Enter an exact answer.
Provide your answer below:
Flux \( = \) [ ]
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