**Problem Statement:**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.**Task:**- Place the rod somewhere along the x-axis. What is the linear mass density function \( \lambda(x) \) of the rod? **Hint:** To eliminate a constant, note that the integral \( \int dm = M \).

Given that:The bat is 6 times as dense as other side. The bad is 3 times as dense as least dense…

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