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DHS 13.2 - Option 18. Decisions Ryabushko AP
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Uploaded: 10.01.2024
Content: 18v-IDZ13.2.doc 152,5 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
1.18. V: y = x, y = -2x, y = 1; z ≥ 0, z = x2 + 4y2
2. Calculate the data triple integrals.
V: 0 ≤ x ≤ 2, 1 ≤ y ≤ 2, -1 ≤ z ≤ 0
3. Evaluate the triple integral using cylindrical or spherical coordinates.
, Υ: x2 + y2 = 2y, x2 + y2 = 4y, x ≥ 0, z ≥ 0, z = 6
4. Use a triple integral to calculate the volume of the body bounded by said surfaces. Make a drawing.
4.18. z ≥ 0, z = x, x = √4 - y2
Additional information
Detailed solution. Decorated in Microsoft Word 2003 (Quest decided to use the formula editor)
For the convenience of viewing IDZ solutions on smartphones, an additional file in PDF format is sent
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