Make sure your name is on your quiz, and please box your final answer. Because we will be giving partial credit, be sure to attempt all the problems, even if you don't finish them! A stick of length L and total mass M has a linear mass density that varies with distance along the x-axis as where A is a constant. (x) = Ae/L 1. If the left-hand side of the stick is at x = 0 and the right-hand side is at x = L, determine the constant, A, in terms of the mass, M, and length, L, of the stick. 2. Determine the center of mass of the stick, expressing your answer only in terms of the length, L (i.e., plug in your answer for A) (Hint: you may want to use integration by parts!).