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

1.13. V: x ≥ 0, y = 3x, y = 3, z ≥ 0, z = 2 (x2 + y2)

2. Calculate the data triple integrals.

  V: -1 ≤ x ≤ 1, 0 ≤ y ≤ 1, 1 ≤ z ≤ 2

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

, Υ: x2 + y2 = 4y, y + z = 4, z ≥ 0

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

4.13. y ≥ 0, z ≥ 0, x = 3, y = 2x, z = y2

Detailed solution. Designed in PDF format for easy viewing of IDZ solutions on smartphones and PCs. In MS Word (doc format) sent additionally.