DHS 13.2 - Option 17. 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
1.17. V: x = 1, y = 2x, y = 3x, z ≥ 0, z = 2x2 + y2
2. Calculate the data triple integrals.
V: 0 ≤ x ≤ 1, -2 ≤ y ≤ 1, 0 ≤ z ≤ 1
3. Evaluate the triple integral using cylindrical or spherical coordinates.
, Υ: 2 ≤ x2 + y2 + z2 ≤ 8, z2 = x2 + y2, x ≥ 0, y ≥ 0, z ≥ 0
4. Use a triple integral to calculate the volume of the body bounded by said surfaces. Make a drawing.
4.17. z ≥ 0, x2 + y2 = 9, z = 5 - x - y
1.17. V: x = 1, y = 2x, y = 3x, z ≥ 0, z = 2x2 + y2
2. Calculate the data triple integrals.
V: 0 ≤ x ≤ 1, -2 ≤ y ≤ 1, 0 ≤ z ≤ 1
3. Evaluate the triple integral using cylindrical or spherical coordinates.
, Υ: 2 ≤ x2 + y2 + z2 ≤ 8, z2 = x2 + y2, x ≥ 0, y ≥ 0, z ≥ 0
4. Use a triple integral to calculate the volume of the body bounded by said surfaces. Make a drawing.
4.17. z ≥ 0, x2 + y2 = 9, z = 5 - x - y
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