DHS 13.1 - Option 21. 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.
1.21. D: y ≥ 0, y ≤ 1, y = x, x = - √4 - y2
- Calculate the double integral over the region D, limited to lines.
D: y = 3x2, y = 3
- Calculate the double integral using polar coordinates.
- Calculate the area of a plane region D, bounded set tench.
4.21. D: x = y2 + 1, x + y = 3
- Use double integrals in polar coordinates to calculate the flat area of the figure bounded by the lines indicated.
5.21. (X2 + y2) 3 = a2 (x4 + y4)
- Calculate the volume of the body bounded by a given surface.
6.21. y = x2, y = 4, z = 2x + 5y + 10, 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.