Consider a vector field -Y F(x, y) x² + y² D = R² \ {(0,0)} = plane missing the origin. in the area = i+ X x² + y² Please show that the condition y2j OF₁ ду OF₂ əx takes place in area D.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 39RE
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Consider a vector field
-Y
F(x, y)
x² + y²
D = R² \ {(0,0)}
in the area
=
i+
X
x² +
Please show that the condition
-
plane missing the origin.
OF₁
OF₂
ду əx
=
takes place in area D.
Transcribed Image Text:Consider a vector field -Y F(x, y) x² + y² D = R² \ {(0,0)} in the area = i+ X x² + Please show that the condition - plane missing the origin. OF₁ OF₂ ду əx = takes place in area D.
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