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 F(x, y) = (−3x − 9y³ + 3y² +3, 3x³ — 5y - 4). Calculate the flux of F(x, y) across C. Enter an exact answer. Sorry, that's incorrect. Try again? Flux = 891

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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891 is incorrect

**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 

\[
\mathbf{F}(x, y) = \langle -3x - 9y^3 + 3, 3x^2 + 3x^3 - 5y - 4 \rangle.
\] 

Calculate the flux of \(\mathbf{F}(x, y)\) across \( C \).

Enter an exact answer.

---

**Response:**

The student entered the flux as \( 891 \) which was marked incorrect with the message: "Sorry, that's incorrect. Try again?"
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 \[ \mathbf{F}(x, y) = \langle -3x - 9y^3 + 3, 3x^2 + 3x^3 - 5y - 4 \rangle. \] Calculate the flux of \(\mathbf{F}(x, y)\) across \( C \). Enter an exact answer. --- **Response:** The student entered the flux as \( 891 \) which was marked incorrect with the message: "Sorry, that's incorrect. Try again?"
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