The level curves of f(x,y) are curves in the xyplane along which f has a constant valueSolution First, let z be equal to k, to get f (x,y) = k Secondly, we get the level curves, or Notice that for k >0 describes a family of ellipses with semiaxes and Finally, by variating the values of k, we get graph bellow (Figure 3), called, level curves or contour map Firgure 3 Level curves of fA level curve of f (x, y) is a curve on the domain that satisfies f (x, y) = k It can be viewed as the intersection of the surface z = f (x, y) and the horizontal plane z = k projected onto the domain The following diagrams shows how the level curves f (x, y) = 1 1 − x 2 − y 2 = k
Sketch The Level Curves Of The Function G X Y Chegg Com
