DHS 13.1 - Option 14. 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.
1.14. D: x ≤ 0, y ≥ 1, y ≤ 3, y = - x.
- Calculate the double integral over the region D, limited to lines.
D: y = x3, y = 0, x ≤ 2
- Calculate the double integral using polar coordinates.
- Calculate the area of a plane region D, bounded set tench.
4.14. D: y = √2 - x2, y = x2
- Use double integrals in polar coordinates to calculate the flat area of the figure bounded by the lines indicated.
5.14. (X2 + y2) 3 = a4y2
- Calculate the volume of the body bounded by a given surface.
6.14. z = 3x2 + 2y2 + 1, y = x2 - 1, y = 1, 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.