- #1

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The question is:

Find and Sketch the level curves of the scalar field T(x,y) = (x +y)/(x

^{2}+ y

^{2}) for T = -1, -0.5, 0, 0.5, 1

I know that I should equate the equation to the values of T given and I suspect that I'll be getting 4 circles but it doesn't seem to work.

Here's what I've done:

(x +y)/(x

^{2}+ y

^{2}) = -1

x + y = -(x

^{2}+ y

^{2})

Where do I go from here?!