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Determine whether the following vector field is conservative on R³. If so, determine a potential function. F = (4x,y4. - 2z²) Select the correct choice below and fill in any answer boxes within your choice. O A. The field is conservative. Assuming the arbitrary constant is 0, the potential function is OB. The field is not conservative.

Determine whether the following vector field is conservative on R³. If so, determine a potential function. F = (4x,y4. - 2z²) Select the correct choice below and fill in any answer boxes within your choice. O A. The field is conservative. Assuming the arbitrary constant is 0, the potential function is OB. The field is not conservative.

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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Determine whether the following vector field is conservative on R³. If so, determine a potential function. F = (4x,y4. - 2z²) Select the correct choice below and fill in any answer boxes within your choice. O A. The field is conservative. Assuming the arbitrary constant is 0, the potential function is O B. The field is not conservative.
Transcribed Image Text:Determine whether the following vector field is conservative on R³. If so, determine a potential function. F = (4x,y4. - 2z²) Select the correct choice below and fill in any answer boxes within your choice. O A. The field is conservative. Assuming the arbitrary constant is 0, the potential function is O B. The field is not conservative.
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