1 1) Given the following potential function, f (x, y, z) = y - (12 pts) x2+y2+z2 a. Determine and state the associated conservative vector field, F = Vf. b. Determine and state the curl of this vector field. C. Explain what the results of these calculations imply.2) Consider the vector field F (x, y) = (x2 - 10xy, 2 - 5x2) (15 pts) a. Determine and state the divergence of this vector field. b. Show that this vector field is conservative. c. Find the potential function associated with this conservative vector field