Reshebnik Ryabushko. Solved IDZ 13.2, Option 24
Replenishment date: 06.11.2018
Content: 24v-IDZ13.2.rar (41.25 KB)
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Description
1. Place the limits of integration in the triple integral if the region V is bounded by the indicated surfaces. Draw area of integration
1.24. V: x ≥ 0, z ≥ 0, y = x, y = 3, z = 18 - x2 - y2
2. Calculate the given triple integrals.
V: −2 ≤ x ≤ 1, 0 ≤ y ≤ 2, 0 ≤ z ≤ 3
3. Calculate the triple integral using cylindrical or spherical coordinates.
, υ: x2 + y2 = 4y, y + z = 4, z ≥ 0
4. Using the triple integral, calculate the volume of the body bounded by the indicated surfaces. Make a drawing.
4.24. z ≥ 0, y = 2, y = x, z = x2
1.24. V: x ≥ 0, z ≥ 0, y = x, y = 3, z = 18 - x2 - y2
2. Calculate the given triple integrals.
V: −2 ≤ x ≤ 1, 0 ≤ y ≤ 2, 0 ≤ z ≤ 3
3. Calculate the triple integral using cylindrical or spherical coordinates.
, υ: x2 + y2 = 4y, y + z = 4, z ≥ 0
4. Using the triple integral, calculate the volume of the body bounded by the indicated surfaces. Make a drawing.
4.24. z ≥ 0, y = 2, y = x, z = x2
Additional Information
The solution is executed in Microsoft Word 2003. The document with the IDZ solution is archived in the WinRar program.