1. The problem statement, all variables and given/known data Use Lagrange Multipliers to find the points closest to the origin on the curve defined implicitly by x2-xy+y2-z2 = 1 x2+y2=1 2. The attempt at a solution I know how to do this for regular curves, but I don't know where to start with implicitly defined ones. Any hints to get me started? Thanks in advance.