DHS 13.2 - Option 9. Decisions Ryabushko AP
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1. Arrange the limits of integration in the triple integral, if the area is limited to V said surfaces. Draw the region of integration
1.9. V: x = 5, y = x / 5, y ≥ 0; z ≥ 0, z = x2 + 5y2
2. Calculate the data triple integrals.
V: -1 ≤ x ≤ 0, 2 ≤ y ≤ 3, 1 ≤ z ≤ 2
3. Evaluate the triple integral using cylindrical or spherical coordinates.
, Υ: y ≥ 0, y ≤ √3x, z = 3 (x2 + y2), z = 3
4. Use a triple integral to calculate the volume of the body bounded by said surfaces. Make a drawing.
4.9. z ≥ 0, z = 4 - x, x = 2√y, y = 2√x
1.9. V: x = 5, y = x / 5, y ≥ 0; z ≥ 0, z = x2 + 5y2
2. Calculate the data triple integrals.
V: -1 ≤ x ≤ 0, 2 ≤ y ≤ 3, 1 ≤ z ≤ 2
3. Evaluate the triple integral using cylindrical or spherical coordinates.
, Υ: y ≥ 0, y ≤ √3x, z = 3 (x2 + y2), z = 3
4. Use a triple integral to calculate the volume of the body bounded by said surfaces. Make a drawing.
4.9. z ≥ 0, z = 4 - x, x = 2√y, y = 2√x
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