Obtain the center for the circle of curvature (osculating circle) for a general point P(x, y) on the ellipse 4x2+9y2=36. Obtain the equation of the circle of curvature for the point P(3,0) on the above ellipse. By parameterizing the ellipse with the variable t where t is the time, obtain the tangential and normal components of acceleration at the point P(x, y).