Determine if the following vector field is conservative on its domain. If so, find a potential function. F = (3y,3x + 4z²,8yz) Select the correct choice below and fill in the answer box to complete your choice as needed. OA. The function is conservative on its domain and, assuming the arbitrary constant is 0, has a potential function (p(x,y) = OB. The function is not conservative on its domain.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Determine if the following vector field is conservative on its domain. If so, find a potential function.
F = (3y,3x + 4z²,8yz)
Select the correct choice below and fill in the answer box to complete your choice as needed.
OA. The function is conservative on its domain and, assuming the arbitrary constant is 0, has a potential function (p(x,y)=
O B. The function is not conservative on its domain.
Transcribed Image Text:Determine if the following vector field is conservative on its domain. If so, find a potential function. F = (3y,3x + 4z²,8yz) Select the correct choice below and fill in the answer box to complete your choice as needed. OA. The function is conservative on its domain and, assuming the arbitrary constant is 0, has a potential function (p(x,y)= O B. The function is not conservative on its domain.
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