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.
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(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