Question: Problem 2(10pts). Let b and cbe constants. Determine the values ofb and c for whichthe vector fieldvec(F)=(y2+2czx)vec(e)x+y(bx+cz)vec(e)y+(y2+cx2)vec(e)zis conservative.

Problem 2(10pts). Let b and cbe constants. Determine the values ofb and c for whichthe vector fieldvec(F)=(y2+2czx)vec(e)x+y(bx+cz)vec(e)y+(y2+cx2)vec(e)zis conservative.

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