Problem 1. Find the arc length of intersection of the parabolic cylinder x^2 = 2y and the surface 3z = xy from the origin to the point (6, 18, 36)

Problem 2. (a) Compute curvature of r = sin 3 for [0, /3]. (b) At which point does the curve y = 9 log x have maximum curvature? What happens to curvature as x ? (c) Find an equation of a parabola that has curvature 6 at the origin.