Also study these examples:

1. Iterated Triple Integral
2. Volume of a Tetrahedron
3. Mass, Moments of Mass, and Center of Mass of a Tetrahedron

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Page 1025, problems:

• 1, 3, 5, 9, 13,

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  Do these after Monday's lecture.

• 17 — Hint: After integrating wrt x, it's then easier to integrate the remaining double integral dA using polar coordinates.

• 33 — but for these orders only:
  1. dz dx dy
  2. dx dy dz
  3. dx dz dy

• 43 — Determine I_x first. Then because of symmetry, we know that I_y = I_z = I_x .

• 45 — Hint: After integrating wrt z, it's then easier to integrate the remaining double integral dA using polar coordinates.

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