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## Homework Statement

Determine if the following is conservative.

[tex]F(x, y, z) = (4xy + z^2)i + (2x^2 + 6yz)j + (2xz)k[/tex]

## Homework Equations

## The Attempt at a Solution

I'm not entirely sure I'm doing this correctly. I've taken the partial of M with respect to y and got 4x. I then took the partial of N with respect to x and got 4x. My question is how do I check P (2xz) ? Does it matter if I take the partial with respect to x or y, or will both work for the test?