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A thin rod lies along the x-axis from $x=0$ to $x=2.7cm$. The linear density of the rod, $\lambda$, is given by the equation: $\lambda ={ 1+e }^{ x }$ and has units of g/cm.

Where is the Center of Mass of the rod?

At $x=0.55cm$.

At $x=1.35cm$.

At $x=1.50cm$.

At $x=1.70cm$.

At $x=1.81cm$.