Let C be a simple closed curve in the xy-plane such that the point (1, -1) is not in C, and let R be the region bounded by C. Denote by n the outward pointing unit normal vector of C. Consider the function = ½ ln ((x − 1)² + (y + 1)²) on R²\{(1, −1)}, and let F = Vo. 1. Calculate F and V F on R2\{(1, −1)}. • 2. Assume that (1, -1) is not in R. Calculate ( F.nds. 3. Assume that (1, -1) is in the interior of R. Calculate f F.nds. [Notation: In w is the natural logarithmic function for w > 0.]