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F(x, y, z) = (6x° sin(y) + cos(18z), xº cos(y), – 18x sin(18z) + 6z°)

F(x, y, z) = (6x° sin(y) + cos(18z), xº cos(y), – 18x sin(18z) + 6z°)

Advanced Engineering Mathematics
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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Consider the vector field F(x, y, 2) = (6x* sin(y) + cos(18z), æ° cos(y), – 18x sin(182) + - 62*) on R3. If the vector field is conservative, find a function f(x, Y, z) such that F = Vƒ. If it is not conservative, enter DNE. f(x, y, z) =
Transcribed Image Text:Consider the vector field F(x, y, 2) = (6x* sin(y) + cos(18z), æ° cos(y), – 18x sin(182) + - 62*) on R3. If the vector field is conservative, find a function f(x, Y, z) such that F = Vƒ. If it is not conservative, enter DNE. f(x, y, z) =
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