Show that the vector field F(x, y, z) = (-3y cos(2x), 2x sin(-3y), 0) is not a gradient vector field by computing its curl. How does this show what you intended? curl(F) VF =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 78E
Question
Show that the vector field F(x, y, z) = (-3y cos(2x), 2x sin(-3y), 0) is not a gradient vector field by computing its curl. How does this show what you
intended?
curl(F) VF =
Transcribed Image Text:Show that the vector field F(x, y, z) = (-3y cos(2x), 2x sin(-3y), 0) is not a gradient vector field by computing its curl. How does this show what you intended? curl(F) VF =
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