DHS 13.2 - Option 12. 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
1.12. V: x = 4, y = x / 4, z ≥ 0, z = 4y2
2. Calculate the data triple integrals.
V: 0 ≤ x ≤ 1, 0 ≤ y ≤ 2, -1 ≤ z ≤ 3
3. Evaluate the triple integral using cylindrical or spherical coordinates.
, Υ: z = x2 + y2, y ≥ 0, y ≤ x, z = 4
4. Use a triple integral to calculate the volume of the body bounded by said surfaces. Make a drawing.
4.12. x ≥ 0, z ≥ 0, y = 2x, y = 3, z = √y
1.12. V: x = 4, y = x / 4, z ≥ 0, z = 4y2
2. Calculate the data triple integrals.
V: 0 ≤ x ≤ 1, 0 ≤ y ≤ 2, -1 ≤ z ≤ 3
3. Evaluate the triple integral using cylindrical or spherical coordinates.
, Υ: z = x2 + y2, y ≥ 0, y ≤ x, z = 4
4. Use a triple integral to calculate the volume of the body bounded by said surfaces. Make a drawing.
4.12. x ≥ 0, z ≥ 0, y = 2x, y = 3, z = √y
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