II. Applications/Analysis (Technology allowed, show all work!) 1. Compute the volume of the parallelepiped that has corners located at the points (2, 3, 1), (1, 3, 2), (3, 2, 4), and the origin (4 points). 2. A particle starts at the origin with initial velocity (1, -1, 3). Its acceleration is given by a(t) = (6t, 12t2, -6t). Find its position function, r(t), showing all steps of the process (4 points). 3. Describe the spatial region that is enclosed by the sphere of radius 2 (centered at the origin) and lies between the parallel planes z = 1 and z = -1, using inequalities with spherical coordinates (5 points)