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DHS 13.1 - Option 9. Decisions Ryabushko AP
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Uploaded: 09.11.2016
Content: 9v-IDZ13.1.doc 168 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.
1.9. D: y2 = 2x, x2 = 2y, x ≤ 1
2. Calculate the double integral over the region D, limited to lines.
D: y = 5x, y = x, x = 3
3. Calculate the double integral using polar coordinates.
4. Calculate the area of a plane region D, bounded set tench.
4.9. D: x = √4 - y2, y = √3x, x ≥ 0
5. Use double integrals in polar coordinates to calculate the flat area of the figure bounded by the lines indicated.
5.9. (X2 + y2) 2 = a2 (2x2 + 3y2)
6. Calculate the volume of the body bounded by a given surface.
6.9. z = 2x2 + y2, x + y = 4, x ≥ 0, y ≥ 0, z ≥ 0
Additional information
Detailed solution. Decorated in Microsoft Word 2003 (Quest decided to use the formula editor)
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