http://calc3.askbot.com/questions/Open source question and answer forum written in Python and DjangoenCopyright Askbot, 2010-2011.Wed, 02 Jul 2014 14:16:17 -0500http://calc3.askbot.com/question/53/how-do-i-accurately-visualize-and-describe-level-curves/For the 14.1 homework tonight, many of the problems ask you to describe the level curves of the function. I understand how to do the rest of the problem, but how does one visualize what the level curves will look like? Is a 3D graphing program necessary, or is it possible to look at the function and tell? For example (Exercise 14.1.1), let $ f(x,y) = (x−y)^2$. The level curves of this function looks like lines of slope $1$... how could one tell that from the function alone? *Comment*: We haven't covered level curves in class, but they will be **major** when we get back after the fourth of July!!JustinWed, 02 Jul 2014 14:16:17 -0500http://calc3.askbot.com/question/53/