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a) Determine whether or not the vector field F 8yz, – 6 cos(y) – 8xz, – 8xy + 10z > - is conservative. b) If F is conservative, find its potential function.

a) Determine whether or not the vector field F 8yz, – 6 cos(y) – 8xz, – 8xy + 10z > - is conservative. b) If F is conservative, find its potential function.

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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a) Determine whether or not the vector field F = < - 8yz, – 6 cos(y) – 8xz, 8гу + 10х > is conservative. b) If F is conservative, find its potential function.
Transcribed Image Text:a) Determine whether or not the vector field F = < - 8yz, – 6 cos(y) – 8xz, 8гу + 10х > is conservative. b) If F is conservative, find its potential function.
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