4) (10 pts) Let the velocity of air be given by the vector field F = (xty,y2 + ex). There is a boundary path given by the triangle with corners at (0, 0), (0, 1), (3, 0). a) Can you apply the FTLI when calculating the flux of air into the triangle? Justify your answer b) Can you apply Green's theorem when calculating the flux of air into the triangle? Justify your answer c) Set up but do not solve the path integral to calculate the flux of air into the triangle. d) * If you answered "yes" to part (a), calculate the flux using FTLI. * If you answered "yes" to part (b), calculate the flux using Green's theorem. * If you answered "no" to both part (a) and part (b), calculate the flux from the path integral in part (c)