DHS 13.1 - Option 30. Decisions Ryabushko AP

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Uploaded: 09.11.2016
Content: 30v-IDZ13.1.doc (151,5 kB)

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1. Provide a double integral as an iterated integral with the outer integration over x and external integration with respect to y, if D is given the above lines.

1.30. D: x ≥ 0, y ≥ 0, y = 1, x = √4 - y2

2. Calculate the double integral over the region D, limited to lines.

 D: y = lnx, y = 0, x = 2

3. Calculate the double integral using polar coordinates.

4. Calculate the area of a plane region D, bounded set tench.

4.30. D: xy = one, x2 = y, y = 2, x = 0.

5. Use double integrals in polar coordinates to calculate the flat area of the figure bounded by the lines indicated.

5.30. ρ = asin3φ

6. Calculate the volume of the body bounded by a given surface.

6.30. y2 = x, x = 3, z = x, z ≥ 0

Additional information

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

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