1. Consider the vector field F(x, y) = (x+ y,x- y) . (a) (10 pts) Evaluate F and fill in the table below. (x, y) (1,0) (1, 1) (0, 1) (-1,1) (-1,0) F(x, y) (b) (10 pts) Sketch F at the points from part (a). (c) (4 pts) Let f(x,y) = zx2 + xy-by2 . Find Vf . What do you observe? 2 -1 0 2 X 2. Let C be the curve y = x from (0,0) to (2,4) and f(x, y) = x+vy Evaluate the following. (a) (10 pts) | f(x, y) dx