# How to calculate level curves

I am being asked to calculate level curves for the following equation:
f(x,y)=e^-(2x^2+2y^2) but I do not know where to start. Any advice on first steps would be greatly appreciated.

SammyS
Staff Emeritus
One obvious point: if $e^{-(2x^2+ 2y^2)}= c$ then $-(2x^2+ 2y^2)= ln(c)$ so that $x^2+ y^2= -ln(c)/2$ which is only possible if -ln(c)< 0 which means 0< c< 1. What figures will level curves be?