The ellipse has equations x = 2cos(t) and y = 3sin(t) where 0 <= t <= 2*pi
The problem asked me to calculate the curvature at points (2,0) and (0,3). I did that, but now the problem asks what the equation of the osculating circle is at each of those points. I know the radius of curvature of each of those points since I already calculated the curvature. But I'm not sure how to figure out where the center of the osculating circle needs to be.
I used this equation for calculating curvature of a parametric curve: http://math.info/image/58/curvature_parametric.gif