HREQ 2010 Lecture : HREQ 2010 Lecture notes from Antonio Torres-Ruiz's lecture

For each of the following vector fields FF, decide whether it is conservative or not by computing curl FF. Type in a potential function ff (that is, ∇f=F∇f=F). Assume the potential function has a value of zero at the origin. If the vector field is not conservative, type N.

F(x,y,z)=6xi+7yj+k
f(x,y,z)=f(x,y,z)=

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D. F(x,y)=(6siny)i+(−6y+6xcosy)j
f(x,y)=