DHS 13.2 - Option 13. Decisions Ryabushko AP

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Uploaded: 19.11.2016
Content: 13v-IDZ13.2.doc (146,5 kB)

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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

1.13. 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

Additional information

Detailed solution. Decorated in Microsoft Word 2003 (Quest decided to use the formula editor)

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