For each of the following vector fields F, decide whether it is conservative or not by computing curl F. Type in a potential function ff (that is, âf=Fâ). Assume the potential function has a value of zero at the origin. If the vector field is not conservative, type N.
(1 point) 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, Vf = F . Assume the potential function has a value of zero at the origin. If the vector field is not conservative, type N. A·F(x, y) = (4x + 3y) i + (3x + 14yj f(x,y)= f(x,y) = | N c. F (x, y, z) = 2x1 + 3yj + k f(x,y,z)= D. F (x, y) = (2 sin y) i + (6y + 2x cos y)ã f(x,y) = E. F(x, y, z)= 2x2 i+3/j+7z2k f (x,y, z) = Note: Your answers should be either expressions of x, y and z (e.g. "3xy + 2yz"), or the letter "N