You are handed a bat that is 6 times as dense on one side as it is on the other side, and 3 times as dense in the middle as it is on the least dense side. Density varies quadratically. The mass of the bat is M and the length is L. Write your answers only in terms of these constants. > Place the rod somewhere along the x-axis. What is the linear mass density function A(x) of the rod? Hint: To eliminate a constant, note that integral dm=M

You are handed a bat that is 6 times as dense on one side as it is on the other side, and 3 times as dense in the middle as it is on the least dense side. Density varies quadratically. The mass of the bat is M and the length is L. Write your answers only in terms of these constants. > Place the rod somewhere along the x-axis. What is the linear mass density function A(x) of the rod? Hint: To eliminate a constant, note that integral dm=M