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
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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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 \( = \) [ ]
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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