DHS 13.2 - Option 14. Decisions Ryabushko AP

DHS 13.2 - Option 14. Decisions Ryabushko AP

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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