This applet allows you to explore visually where an extreme value may be. It may strengthen your understanding of the method of Lagrange multipliers. You may rotate and zoom in/out the graph, and move the little ball on the surface along the blue space curve. [color=#1551b5](You may have to download the *.ggb file to your local machine and start GeoGebra to open it.)[/color][br][br]Find the extrema of [math]f(x,y)=x^2+y^2[/math] along the constraint curve [math]g(x,y)=y^2-x-5=0[/math].