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### Section 2-3 : Center Of Mass

Find the center of mass for each of the following regions.

1. The region bounded by $$y = 4 - {x^2}$$ that is in the first quadrant. Solution
2. The region bounded by $$y = 3 - {{\bf{e}}^{ - x}}$$, the $$x$$-axis, $$x = 2$$ and the $$y$$-axis. Solution
3. The triangle with vertices $$(0, 0)$$, $$(-4, 2)$$ and $$(0,6)$$. Solution