For each of the following vector fields F, decide whether it is conservative or not by computing curl F. Type in a potential function f (that is, ∇f=F ). If it is not conservative, type N. A. F(x,y)=(16x−2y)i+(−2x+8y)j f(x,y)= B. F(x,y)=8yi+9xj f(x,y)= C. F(x,y,z)=8xi+9yj+k f(x,y,z)= D. F(x,y)=(8siny)i+(−4y+8xcosy)j f(x,y)= E. F(x,y,z)=8x 2
i−2y 2
j+4z 2
k f(x,y,z)= Note: Your answers should be either expressions of x,y and z (e.g. "3xy + 2yz"), or the letter "N"