2. Verify that the vector field F(1, y, 2) = sec? y+ -32 2.r tan y + e csc r, 3e -32 cot x + sec z tan z is conservative by finding all of its potential functions.

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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Verify that the vector field
1
F(r, y, z) = ( 2.r tan y+e csc r, r sec y+
Зе
-3z
cot x + sec z tan z
%3D
is conservative by finding all of its potential functions.
2.
Transcribed Image Text:Verify that the vector field 1 F(r, y, z) = ( 2.r tan y+e csc r, r sec y+ Зе -3z cot x + sec z tan z %3D is conservative by finding all of its potential functions. 2.
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