DHS 13.1 - Option 3. 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.
1.3. D: x = √8 - y2, y ≥ 0, y = x
2. Calculate the double integral over the region D, limited to lines.
D: y2 = x, y = x
3. Calculate the double integral using polar coordinates.
4. Calculate the area of a plane region D, bounded set tench.
4.3. D: y2 = x + 2, x = 2
5. Use double integrals in polar coordinates to calculate the flat area of the figure bounded by the lines indicated.
5.3. (X2 + y2) 3 = a2x2 (4x2 + 3y2)
6. Calculate the volume of the body bounded by a given surface.
6.3. z = x2, x - 2y + 2 = 0, x + y - 0 = 7, z ≥ 0
1.3. D: x = √8 - y2, y ≥ 0, y = x
2. Calculate the double integral over the region D, limited to lines.
D: y2 = x, y = x
3. Calculate the double integral using polar coordinates.
4. Calculate the area of a plane region D, bounded set tench.
4.3. D: y2 = x + 2, x = 2
5. Use double integrals in polar coordinates to calculate the flat area of the figure bounded by the lines indicated.
5.3. (X2 + y2) 3 = a2x2 (4x2 + 3y2)
6. Calculate the volume of the body bounded by a given surface.
6.3. z = x2, x - 2y + 2 = 0, x + y - 0 = 7, z ≥ 0
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