I had them find the center of mass of three points located at $x_1$ with mass 2k, at $x_2$ with mass 3 kilograms, and at $x_3$ with 5 kilograms.
Then I had them draw the regions described by some integrals.
- A 2D cartesian one (parabola)
- A 2D polar one (rainbow)
- A 3D one with a rectangular base (half pike)
- Another 3D one with a triangular base.
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