DHS 13.1 - Option 9. 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.
1.9. D: y2 = 2x, x2 = 2y, x ≤ 1
- Calculate the double integral over the region D, limited to lines.
D: y = 5x, y = x, x = 3
- Calculate the double integral using polar coordinates.
- Calculate the area of a plane region D, bounded set tench.
4.9. D: x = √4 - y2, y = √3x, x ≥ 0
- 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)
- 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
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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.