Given F(x, y) = (sin yte,xcosy) and let C be the curve given by r (t ) = (t, t(3-t) ); Ost53 Find the following (On part (a), set up only, do not evaluate) (a) Evaluate J F . dr directly. (b) Show that F is conservative and find a function f such that F = Vf. (c) Evaluate Jc F . dr using Theorem 2. (d) Evaluate F . dr by first replacing C by a simpler curve that has the same initial and terminal points