Finding Curl from a vector field picture

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To find the curl of a vector field at a specific point in a picture, one must analyze the vector field visually and mathematically. The curl can be determined by considering a loop around the point of interest and calculating the line integral around that loop. Evaluating the net result of this integral for each axis will help in approximating the curl. It is important to pay attention to the sign conventions when performing these calculations. Understanding these concepts will aid in successfully completing the homework assignment.
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Homework Statement


I need to analyze these pictures for my homework and find out the curl of the vector field at the point (red) on the picture.


Homework Equations



http://i1242.photobucket.com/albums/gg525/sjrrkb/ScreenShot2012-11-26at61615PM.png

The Attempt at a Solution


basically I can calculate curl and divergence and evaluate them mathematically...but when it comes to analyzing a picture and determining the curl at a given point on a vector field I am totally lost. Any assistance...in the form of answers, places I can go to get help, or just suggestions would be appreciated.
 
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For the k component of curl, imagine a loop in the xy plane around the point in question, now imagine a line integral around the loop, what is the net result? Consider this for each axis and you should get close. You'll need to be careful with convention, to decide on +-.
 

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