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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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### Problem:

Calculate the flux of \(\vec{F} = \langle x^2, y^2 \rangle\) through the line segment from \((3, 0)\) to \((0, 3)\), oriented upward.

### Diagram Explanation:

The provided diagram is a right triangle on a coordinate plane. The vertices of the triangle are labeled \((3, 0)\) and \((0, 3)\), with the right angle at the origin \((0, 0)\). The hypotenuse represents the line segment along which the flux is to be calculated. Arrows along the hypotenuse indicate the orientation of the line segment, showing an upward direction from the point \((3, 0)\) to \((0, 3)\).
Transcribed Image Text:### Problem: Calculate the flux of \(\vec{F} = \langle x^2, y^2 \rangle\) through the line segment from \((3, 0)\) to \((0, 3)\), oriented upward. ### Diagram Explanation: The provided diagram is a right triangle on a coordinate plane. The vertices of the triangle are labeled \((3, 0)\) and \((0, 3)\), with the right angle at the origin \((0, 0)\). The hypotenuse represents the line segment along which the flux is to be calculated. Arrows along the hypotenuse indicate the orientation of the line segment, showing an upward direction from the point \((3, 0)\) to \((0, 3)\).
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