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For each of the following vector fields F, decide whether it is conservative or not by...

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Advance Math

For each of the following vector fields F, decide whether it isconservative or not by computing curl F. Type in a potentialfunction f (that is, ?f=F). Assume the potential function has avalue of zero at the origin. If the vector field is notconservative, type N.

A. F(x,y)=(?14x?6y)i+(?6x+6y)j

f(x,y)=

C. F(x,y,z)=?7xi?6yj+k

f(x,y,z)=

D. F(x,y)=(?7siny)i+(?12y?7xcosy)j

f(x,y)=

E. F(x,y,z)=?7x^2i?6y^2j+3z^2k

f(x,y,z)=

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