Show that the vector field sin 2y x² Ĥ(x, y) = (y) = (₂ Y x² + 1 is conservative by finding all its potential functions. " -1 tan ¹ x + 2 cos 2y X - In y

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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Show that the vector field
Ĥ(x, y) = √ √7²³² + 1
Y
is conservative by finding all its potential functions.
sin 2y
tan¯¹ x +
9
x²
2 cos 2y
X
-
In y
Transcribed Image Text:Show that the vector field Ĥ(x, y) = √ √7²³² + 1 Y is conservative by finding all its potential functions. sin 2y tan¯¹ x + 9 x² 2 cos 2y X - In y
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