LEVEL CURVES The level curves (or contour lines) of a surface are paths along which the values of z = f(x,y) are constant;Create Account – It's FREEYou have a function f R 2 → R The level curves of f is the set { ( x, y) ∈ R 2 f ( x, y) = K, K ∈ R } So, in order to find the level curves of your function, just set it equal to a constant K, and try different values of K For instance f ( x, y) = ( x 2 y 2 − 1) ( 2 x y − 1) = K Now, test values foe K, say K = − 1, −
2