DHS 13.1 - Option 5. Decisions Ryabushko AP
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- 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.
1.5. D: x2 = 2 - y, x + y = 0
- Calculate the double integral over the region D, limited to lines.
D: y = x2 - 1, x ≥ 0, y ≤ 0
- Calculate the double integral using polar coordinates.
- Calculate the area of a plane region D, bounded set tench.
4.5. D: y = 8 / (x2 + 4), x2 = 4y.
- Use double integrals in polar coordinates to calculate the flat area of the figure bounded by the lines indicated.
5.5. x4 - y4 = (x2 + y2) 3
- Calculate the volume of the body bounded by a given surface.
6.5. z = 2x2 + y2, y ≤ x, y = 3x, x = 2, z ≥ 0
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Detailed solution. Designed in PDF format for easy viewing of IDZ solutions on smartphones and PCs. In MS Word (doc format) sent additionally.