DHS 13.1 - Option 24. 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.
1.24. D: x = 0, x = -2, y ≥ 0, y = x2 + 4
- Calculate the double integral over the region D, limited to lines.
D: y = x3, y ≥ 0, y = 4x
- Calculate the double integral using polar coordinates.
- Calculate the area of a plane region D, bounded set tench.
4.24. D: x = 4 - y2, x - y + 2 = 0
- Use double integrals in polar coordinates to calculate the flat area of the figure bounded by the lines indicated.
5.24. ρ = asin2φ
- Calculate the volume of the body bounded by a given surface.
6.24. x2 + y2 = 4y, z2 = 4 - y, z ≥ 0
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