ИДЗ 13.2 – Вариант 26. Решения Рябушко А.П.

1. Arrange the limits of integration in the triple integral, if the area is limited to V said surfaces. Draw the region of integration

1.26. V: x ≥ 0, y = 2x, y = 4, z ≥ 0, z = 10 - x2 - y2

2. Calculate the data triple integrals.

  V: 0 ≤ x ≤ 1, -1 ≤ y ≤ 4, 0 ≤ z ≤ 2

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

, Υ: x2 + y2 = 2x, y ≥ 0, z ≥ 0, z = 3

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

4.26. y ≥ 0, z ≥ 0, x - y = 0, 2x + y = 2, 4z = y2

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