The images below are level sets for different functions. For each function below, select the image on the right that represents the gradient vector field for that function.

For the level sets, red is the lowest and purple the highest heights. Click on a gradient vector field to get a more detailed version of the image.

 
1.   2.
 
3.   4.
 
 
A
 
B
 
C
 
D
 
E
 
F

In order to get credit for this problem all answers must be correct.