Show that F . dr is independent of its path, given that Jc F(x, y, =) = y i+ tan x j+ k. 1 +72 + tan z 1 + 22 Hence, find the potential function of F and then evaluate the work done by F moving an object along the smooth curve C, the line segment from (1, 0, -1) to (0, 0, 0) then along the parabola z = y', r = 0 to (0, -1, 1)