Determine whether the following vector field is conservative on R If so, determine a potential function. F= (4x° Ay?. - 6z4) Select the correct choice below and fill in any answer boxes within your choice. O A. The field is conservative. The potential function is O B. The field is not conservative.
Determine whether the following vector field is conservative on R If so, determine a potential function. F= (4x° Ay?. - 6z4) Select the correct choice below and fill in any answer boxes within your choice. O A. The field is conservative. The potential function is O B. The field is not conservative.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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![**Determine whether the following vector field is conservative on \(\mathbb{R}^3\). If so, determine a potential function.**
\[ \mathbf{F} = \langle 4x^3, 4y^2, -6z^4 \rangle \]
Select the correct choice below and fill in any answer boxes within your choice.
- **A.** The field is conservative. The potential function is \[\underline{\quad}\]
- **B.** The field is not conservative.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3d940ce8-cba2-4a95-af25-aae0739ca5aa%2Fc686562f-18a9-4ca8-8534-aebc5397fb2d%2Ffedqpd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Determine whether the following vector field is conservative on \(\mathbb{R}^3\). If so, determine a potential function.**
\[ \mathbf{F} = \langle 4x^3, 4y^2, -6z^4 \rangle \]
Select the correct choice below and fill in any answer boxes within your choice.
- **A.** The field is conservative. The potential function is \[\underline{\quad}\]
- **B.** The field is not conservative.
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