9.1 38. Find all points of intersection of the two curves. { x t2 y t 1 and { x 2 s y 1 s Section 9.2 10. Identify all points at which the curve has (a) a horizontal tangent and (b) a vertical tangent. { x cos 2t y sin 7t 16. Given the parametric equations for the position of an object, find the object's velocity and speed at the given times and describe its motion. { x 2sin 2t y 3cos 2t WA 5, p. 1 (a) t = 0(b) t 2 Section 9.3 10. (a) Show that the curve starts at the origin at t = 0 and reaches the point (, 2) at t = 1. (b) Use the time formula (3.2) to determine how long it would take a skier to take the given path. (c) Find the slope at the origin and the arc length for the curve. { x t y 24 t 14. Compute the surface area of the surface obtained by revolving the given curve about the indicated axis. { x t 2 1 y t 3 4t WA 5, p. 2 , 0t 2 (a) about the x-axis (b) about x = 3