question.

Find a potential function for the vector field

F = 2xy^3z^4 i + 3x^2 y^2 z^4 j + 4x^2 y^3 z^3 k

I don't know how to do this question. Please help me . Thank you very much.

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- Nov 10th 2007, 02:45 AMkittycatconservative and independent of path - line integral
question.

Find a potential function for the vector field

F = 2xy^3z^4 i + 3x^2 y^2 z^4 j + 4x^2 y^3 z^3 k

I don't know how to do this question. Please help me . Thank you very much. - Nov 10th 2007, 03:32 AMkalagota
- Nov 10th 2007, 03:32 AMPlato
Check to see if it is conservative.

It is.

Then find the primitive function.

. - Nov 10th 2007, 07:11 AMkittycat
http://www.mathhelpforum.com/math-he...84bed1eb-1.gif

hi kalagota,

Why + g(y,z) ??? Could you please explain this point to me?

Thank you very much. - Nov 10th 2007, 09:45 AMPlato
- Nov 10th 2007, 01:52 PMThePerfectHacker
1) Kalagota use \nabla instead of the monster you are using.

2) You can see if**curl**is a zero vector to know if it has a scalar potentional. - Nov 10th 2007, 02:03 PMPlato