DHS 13.2 - Option 5. Decisions Ryabushko AP

DHS 13.2 - Option 5. 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

1.5. V: y = 2x, y = 2, z ≥ 0, z = 2√x

2. Calculate the data triple integrals.

  V: -1 ≤ x ≤ 3, 0 ≤ y ≤ 2, -2 ≤ z ≤ 5

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

, Υ: x2 + y2 + z2 = 8, x2 = y2 + z2, x ≥ 0

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

4.5. y ≥ 0, z ≥ 0, z = x, x = √9 - y2, x = √25 - y2

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