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Section 8.3 : 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