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DHS 13.1 - Option 4. Decisions Ryabushko AP
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Uploaded: 09.11.2016
Content: 4v-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.
1.4. D: x ≥ 0, y ≥ 0, y ≤ 1, y = lnx
2. Calculate the double integral over the region D, limited to lines.
D: y = 2 - x, y = x, x ≥ 0
3. Calculate the double integral using polar coordinates.
4. Calculate the area of a plane region D, bounded set tench.
4.4. D: x = -2y2, x = 1 - 3y2, x ≤ 0, y ≥ 0
5. Use double integrals in polar coordinates to calculate the flat area of the figure bounded by the lines indicated.
5.4. (X2 + y2) 2 = a2 (3x2 + 2y2)
6. Calculate the volume of the body bounded by a given surface.
6.4. z = 2x2 + 3y2, y = x2, y = x, z ≥ 0
Additional information
Detailed solution. Decorated in Microsoft Word 2003 (Quest decided to use the formula editor)
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