Consider the vector field F(r, y, 2) = (2ry$ 24, 3xly Ary323 (i) Show that F is a conservative vector field and find $ such that F = Vo. (ii) Use this to evaluate - F . dr, where { consists of the line segment from (1, 0, -2) to (1, 1, 0) followed by the curve given given by r(t) = (et , cos(t), () for 0