A long thin solid rod lies along the positive x-axis. One end is at x = 1.80 m and the other at x = 3.40 m. The linear mass density is ρ = ax3 + bx, where ρ is measured in kg/m, and the constants have the following values: a = 1.70 kg/m4 and b = 2.70 kg/m2.
1. Determine the total mass of the rod.
2. Calculate the x-coordinate of the center of the mass for this rod.