DHS 13.2 - Option 28. Decisions Ryabushko AP

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Uploaded: 19.11.2016
Content: 28v-IDZ13.2.doc (152 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

1.28. V: x ≥ 0, y ≥ 0, z ≥ 0, 2x + 3y = 6, z = 3 + x2 + y2

2. Calculate the data triple integrals.

  V: -1 ≤ x ≤ 0, 0 ≤ y ≤ 1, 2 ≤ z ≤ 3

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

, Υ: x2 = 2 (y2 + z2), x = 4, x ≥ 0

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

4.28. z ≥ 0, x = y2, x = 2y2 + 1, z = 1 - y2

Additional information

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

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