1. Arrange the limits of integration in the triple integral, if the area is limited to V said surfaces. Draw the region of integration
1.29. V: x ≥ 0, y ≥ 0, z ≥ 0, x + y = 4, z = 16 - x2 - y2
2. Calculate the data triple integrals.
V: 1 ≤ x ≤ 2, -2 ≤ y ≤ 3, 0 ≤ z ≤ 1
3. Evaluate the triple integral using cylindrical or spherical coordinates.
, Υ: 1 ≤ x2 + y2 + z2 ≤ 9, y ≤ x, y ≥ 0, z ≥ 0
4. Use a triple integral to calculate the volume of the body bounded by said surfaces. Make a drawing.
4.29. x ≥ 0, y ≥ 0, z ≥ 0, y = 3 - x, z = 9 - x2
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