DHS 13.1 - Option 2. 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.
1.2. D: x2 = 2y, 5x - 2y - 6 = 0
2. Calculate the double integral over the region D, limited to lines.
D: y = x2, y = 2x
3. Calculate the double integral using polar coordinates.
4. Calculate the area of a plane region D, bounded set tench.
4.2. D: y = 6x2, x + y = 2, x ≥ 0
5. Use double integrals in polar coordinates to calculate the flat area of the figure bounded by the lines indicated.
5.2. (X2 + y2) 3 = a2x2y2
6. Calculate the volume of the body bounded by a given surface.
6.2. z = 2 - (x2 + y2), x + 2y = 1, x ≥ 0, y ≥ 0, z ≥ 0
1.2. D: x2 = 2y, 5x - 2y - 6 = 0
2. Calculate the double integral over the region D, limited to lines.
D: y = x2, y = 2x
3. Calculate the double integral using polar coordinates.
4. Calculate the area of a plane region D, bounded set tench.
4.2. D: y = 6x2, x + y = 2, x ≥ 0
5. Use double integrals in polar coordinates to calculate the flat area of the figure bounded by the lines indicated.
5.2. (X2 + y2) 3 = a2x2y2
6. Calculate the volume of the body bounded by a given surface.
6.2. z = 2 - (x2 + y2), x + 2y = 1, x ≥ 0, y ≥ 0, z ≥ 0
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