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DHS 13.1 - Option 21. Decisions Ryabushko AP
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Uploaded: 09.11.2016
Content: 21v-IDZ13.1.doc 163,5 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.
1.21. D: y ≥ 0, y ≤ 1, y = x, x = - √4 - y2
2. Calculate the double integral over the region D, limited to lines.
D: y = 3x2, y = 3
3. Calculate the double integral using polar coordinates.
4. Calculate the area of a plane region D, bounded set tench.
4.21. D: x = y2 + 1, x + y = 3
5. Use double integrals in polar coordinates to calculate the flat area of the figure bounded by the lines indicated.
5.21. (X2 + y2) 3 = a2 (x4 + y4)
6. Calculate the volume of the body bounded by a given surface.
6.21. y = x2, y = 4, z = 2x + 5y + 10, z ≥ 0
Additional information
Detailed solution. Decorated in Microsoft Word 2003 (Quest decided to use the formula editor)
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