DHS 13.2 - Option 10. Decisions Ryabushko AP

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Uploaded: 19.11.2016
Content: 10v-IDZ13.2.doc (135,5 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

1.10. V: x = 2, y = 4x, z ≥ 0, y = 2√z

2. Calculate the data triple integrals.

  V: 0 ≤ x ≤ 1, 0 ≤ y ≤ 3, -1 ≤ z ≤ 2

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

, Υ: x2 + y2 + z2 = 16, z ≥ 0

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

4.10. y ≥ 0, z ≥ 0, 2x - y = 0, x + y = 9, z = x2

Additional information

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

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