Let F(x, y) = (2xe +37² +cos y, 1+z²e" - zsiny), and let C with the position vector r be the portion of the parabola y = r² from (0,0) to (1, 1). 1 (a) Explain why both the Fundamental Theorem of Line Integrals and path independence can be applied to calculate JF. dr. (b) Find a potential function for F and use it to calculate fF.dr. (c) Now verify your answer to (b) by using path independence to calculate fF.dr.