DHS 13.1 - Option 23. 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.
1.23. D: y = 3 - x2, y = -x
- Calculate the double integral over the region D, limited to lines.
D: x + y = 1, x + y = 2, x ≤ 1, x ≥ 0
- Calculate the double integral using polar coordinates.
- Calculate the area of a plane region D, bounded set tench.
4.23. D: x = cosy, x ≤ y + 1, x ≥ 0
- Use double integrals in polar coordinates to calculate the flat area of the figure bounded by the lines indicated.
5.23. (X2 + y2) 3 = 4a2xy (x2 - y2)
- Calculate the volume of the body bounded by a given surface.
6.23. y = 1 - z2, y = x, y = -x, y ≥ 0, z ≥ 0
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