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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
1.25. V: x = 2, y ≥ 0, z ≥ 0, y = 3x, z = 4 (x2 + y2)
2. Calculate the data triple integrals.
V: 0 ≤ x ≤ 2, -1 ≤ y ≤ 0, 0 ≤ z ≤ 4
3. Evaluate the triple integral using cylindrical or spherical coordinates.
, Υ: 4 ≤ x2 + y2 + z2 ≤ 16, y ≤ √3x, y ≥ 0, z ≥ 0
4. Use a triple integral to calculate the volume of the body bounded by said surfaces. Make a drawing.
4.25. z ≥ 0, y + z = 2, x2 + y2 = 4
1.25. V: x = 2, y ≥ 0, z ≥ 0, y = 3x, z = 4 (x2 + y2)
2. Calculate the data triple integrals.
V: 0 ≤ x ≤ 2, -1 ≤ y ≤ 0, 0 ≤ z ≤ 4
3. Evaluate the triple integral using cylindrical or spherical coordinates.
, Υ: 4 ≤ x2 + y2 + z2 ≤ 16, y ≤ √3x, y ≥ 0, z ≥ 0
4. Use a triple integral to calculate the volume of the body bounded by said surfaces. Make a drawing.
4.25. z ≥ 0, y + z = 2, x2 + y2 = 4
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- Content type File
- Content description 150,5 kB
- Added to the site 17.01.2024
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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
For the convenience of viewing IDZ solutions on smartphones, an additional file in PDF format is sent
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