Problem 2 of 4 (7 pts). Let a be a constant and let F be the vector field in R2 F(x, y) = (xlny + yet, =x2ya + ex + 1) whose domain is defined by y > 0. Part A) Is the domain of F simply connected? Part B) For what value of a is F conservative? Part C) For the value of a you found in Part B, find a potential function for F. For each part, explain your reasoning and/or show each step leading to your solution