The arrow representation in Fig. E3.17 represents the vector field A = - y. At a given point in space, A has a positive divergence –½ ˆ™ A if the net flux flowing outward through the surface of an imaginary infinitesimal volume centered at that point is positive, –½ ˆ™ A is negative if the net flux is into the volume, and –½ ˆ™ A = 0 if the same amount of flux enters into the volume as leaves it. Determine –½ ˆ™ A everywhere in the x-y plane.

10 10 Figure E3.17