DHS 13.1 - Option 12. Decisions Ryabushko AP
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$1.4
1. 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.
1.12. D: x = √2 - y2, x = y2, y ≥ 0
2. Calculate the double integral over the region D, limited to lines.
D: y = 2x3, y = 0, x = 1
3. Calculate the double integral using polar coordinates.
4. Calculate the area of a plane region D, bounded set tench.
4.12. D: y = x2, y = -x
5. Use double integrals in polar coordinates to calculate the flat area of the figure bounded by the lines indicated.
5.12. (X2 + y2) 2 = 2a2xy
6. Calculate the volume of the body bounded by a given surface.
6.12. z = 10 + x2 + 2y2, y = x, x = 1, y ≥ 0, z ≥ 0
1.12. D: x = √2 - y2, x = y2, y ≥ 0
2. Calculate the double integral over the region D, limited to lines.
D: y = 2x3, y = 0, x = 1
3. Calculate the double integral using polar coordinates.
4. Calculate the area of a plane region D, bounded set tench.
4.12. D: y = x2, y = -x
5. Use double integrals in polar coordinates to calculate the flat area of the figure bounded by the lines indicated.
5.12. (X2 + y2) 2 = 2a2xy
6. Calculate the volume of the body bounded by a given surface.
6.12. z = 10 + x2 + 2y2, y = x, x = 1, y ≥ 0, z ≥ 0
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