DHS 13.2 - Option 10. Decisions Ryabushko AP

DHS 13.2 - Option 10. 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

1.10. V: x = 2, y = 4x, z ≥ 0, y = 2√z

2. Calculate the data triple integrals.

  V: 0 ≤ x ≤ 1, 0 ≤ y ≤ 3, -1 ≤ z ≤ 2

3. Evaluate the triple integral using cylindrical or spherical coordinates.

, Υ: x2 + y2 + z2 = 16, z ≥ 0

4. Use a triple integral to calculate the volume of the body bounded by said surfaces. Make a drawing.

4.10. y ≥ 0, z ≥ 0, 2x - y = 0, x + y = 9, z = x2

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