DHS 13.1 - Option 30. 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.
1.30. D: x ≥ 0, y ≥ 0, y = 1, x = √4 - y2
- Calculate the double integral over the region D, limited to lines.
D: y = lnx, y = 0, x = 2
- Calculate the double integral using polar coordinates.
- Calculate the area of a plane region D, bounded set tench.
4.30. D: xy = one, x2 = y, y = 2, x = 0.
- Use double integrals in polar coordinates to calculate the flat area of the figure bounded by the lines indicated.
5.30. ρ = asin3φ
- Calculate the volume of the body bounded by a given surface.
6.30. y2 = x, x = 3, z = x, 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.