DHS 13.2 - Option 1. Decisions Ryabushko AP

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Uploaded: 19.11.2016
Content: 1v-IDZ13.2.doc (151,5 kB)

Description

1. Arrange the limits of integration in the triple integral, if the area is limited to V said surfaces. Draw the region of integration

1.1. V: x = 2, y = 4x, y = 3√x; z ≥ 0, z = 4

2. Calculate the data triple integrals.

  V: 2 ≤ x ≤ 3, -1 ≤ y ≤ 2, 0 ≤ z ≤ 4

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

, Υ: x2 + y2 + z2 = 4, x ≥ 0, y ≥ 0, z ≥ 0

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

4.1. z2 = 4 - x, x2 + y2 = 4x

Additional information

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

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