1. The problem statement, all variables and given/known data Find the equations of the osculating circles of the ellipse 9x^2 + 4y^2 =36 at the points (2,0) and (0,3) 2. Relevant equations 3. The attempt at a solution I honestly have no idea what to do here. This problem is in the chapter relating to curvature and arc length, as well as unit tangent/normal/binormal vectors for vector functions, but I do not see the relation of these topics to this problem. For some reason I have the idea of parametric equations come to mind. Could someone please point me in the right direction?