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DHS 13.2 - Option 23. Decisions Ryabushko AP
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Uploaded: 19.11.2016
Content: 23v-IDZ13.2.doc 157,5 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
1.23. V: x ≥ 0, y ≥ 0, z ≥ 0, 3x + 4y = 12, z = 6 - x2 - y2
2. Calculate the data triple integrals.
V: -1 ≤ x ≤ 2, 1 ≤ y ≤ 3, 0 ≤ z ≤ 1
3. Evaluate the triple integral using cylindrical or spherical coordinates.
, Υ: 1 ≤ x2 + y2 + z2 ≤ 16, y ≥ 0, y ≤ x, z ≥ 0
4. Use a triple integral to calculate the volume of the body bounded by said surfaces. Make a drawing.
4.23. z ≥ 0, x2 + y2 = 4, z = x2 + y2
Additional information
Detailed solution. Decorated in Microsoft Word 2003 (Quest decided to use the formula editor)
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