The FToLI (Fundamental Theorem of Line Integrals) says: (you may select one or more correct answers) O The work done by a gradient vector field is independent of path. O The line integral of a gradient vector field depends only on the initial and terminal points of the path. O The work done by any vector field is independent of path. O The work done by a gradient vector field is always zero. O None of these.In order to use Green's Theorem to calculate the work done by a vector field, the vector field must be conservative. O True O FalseIn order to use the Fundamental Theorem of Line Integrals to calculate the work done by a vector field, the vector field must be conservative. O True O FalseSuppose you are looking for a potential function. One of the steps you have to do is to integrate the equation fy = 2:33 i y with respect to y. You get f (at, y) : 23;; + gF? O giv) O c (a constant) 0 gtxy) 0 gm