A long thin rod lies along the x-axis from the origin to x=L, with L= 0.890 m. The mass per unit length, λ (in kg/m) varies according to the equation λ = λ0 (1+1.410x2). The value of λ0 is 0.700 kg/m and x is in meters.
1. Calculate the total mass of the rod.
2. Calculate the x-coordinate of the center of mass of the rod.
3. Calculate the moment of inertia of the rod with respect to the y-axis.
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