Math 317 HW3: Due Wednesday, Feb. 1 in class. Section 14.3: 55, 57 Section 14.4: 28, 36, 40 (for problem 28, you may use a calculator) TOP of page 885 (Kepler's 3rd Law): 2, 3 Review exercises: 14, 21 Show that a space curve is a planar curve (i.e., contained in a plane) if and only if its torsion is zero for all points on the curve (you may assume that the curve has a smooth parametrization that is THREE TIMES continuously differentiable; FOR THE "ONLY IF' PART YOU MAY ASSUME THAT THE CURVATURE IS NONZERO FOR ALL POINTS).