Is E a Conservative Field? Analyzing Two Fields for Conservation

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kidia
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Can anybody help me on this question,Show whether or not the following fields are conservative:
E=y[tex]z^2[/tex][tex]i[/tex]+(X[tex]z^2[/tex]+2)j+(2xyz-1)k

E=-([tex]x^2[/tex]-[tex]y^2[/tex])i-2xyj+4k

I don't think if am right I want to start by comparing i follow by j and z,example y[tex]z^2[/tex]=-([tex]x^2[/tex]-[tex]y^2[/tex])
 
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To test if a field is conservative, you can take the curl...