2. Given a force, F, the amount of potential energy an object has can be modeled by the equation U(:1:, y, z) 2 132. A marble moves along the path (2 t3, at, 3 + 213) from 0 g t g 1. (a) Calculate the difference of the potential energy the marble has between the beginning and end of its path. (b) Give a function for the potential energy the marble has as a function of t