DHS 13.2 - Option 16. Decisions Ryabushko AP

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Uploaded: 08.01.2017
Content: 16v-IDZ13.2.doc (153,5 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

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

2. Calculate the data triple integrals.

  V: 0 ≤ x ≤ 2, -1 ≤ y ≤ 0, 0 ≤ z ≤ 1

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

, Υ: x2 + y2 = 2x, x + z = 2, z ≥ 0

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

4.16. x ≥ 0, y ≥ 0, z ≥ 0, x + y = 2, z = x2 + y2

Additional information

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

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