1. Arrange the limits of integration in the triple integral, if the area is limited to V said surfaces. Draw the region of integration
1.14. V: x ≥ 0, y = 4x, y = 8, z ≥ 0, z = 3x2 + y2
2. Calculate the data triple integrals.
V: 0 ≤ x ≤ 2, 0 ≤ y ≤ 1, -1 ≤ z ≤ 3
3. Evaluate the triple integral using cylindrical or spherical coordinates.
, Υ: x2 + y2 = 2x, x + z = 2, y ≥ 0, z ≥ 0
4. Use a triple integral to calculate the volume of the body bounded by said surfaces. Make a drawing.
4.14. z ≥ 0, y2 = 2 - x, z = 3x
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