Determine if Force is Conservative or Not

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Homework Statement



For the following force, determine whether it is conservative or not.

Homework Equations



F=i(5abx^2+2ab^2y^5)+j(7abz^2+a^2b^3y)+k(18abz^3)

i, j, k being unit vectors and a and b are constants

The Attempt at a Solution



I found the curl to be: (-14abz)i-(10ab^2y^4)k. This means its non-conservative. I think this is correct, but some of my classmates got it to be conservative. If i am wrong, how do i go about this?
 
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