You've probably seen level curves (or contour curves, whatever you want to call them) before If you've ever seen the elevation map for a piece of land, this is nothing more than the contour curves for the function that gives the elevation of the land in that area Of course, we probably don't have the function that gives the elevation, but we can at least graph the contourCalc 3 Level curves Close 1 Posted by 6 years ago Archived Calc 3 Level curves Let k(x,y)= 4x 2 8x 5y 2 3 Sketch the level curves for c= 1, 15, and I got a hyperbola from this, but now I'm in doubt because one of the values of c make it undefined Is this possible?When drawing in three dimensions is inconvenient, a contour map is a useful alternative for representing functions with aThe 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
Calculus Iii Functions Of Several Variables
Level curves calc 3
