DHS 13.1 - Option 28. 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.
1.28. D: y = -x, 3x + y = 3, y = 3.
2. Calculate the double integral over the region D, limited to lines.
D: y = x3, y = 3x
3. Calculate the double integral using polar coordinates.
4. Calculate the area of a plane region D, bounded set tench.
4.28. D: y = x2, y = 3 / 4x2 + 1
5. Use double integrals in polar coordinates to calculate the flat area of the figure bounded by the lines indicated.
5.28. ρ2 = a2cos3φ
6. Calculate the volume of the body bounded by a given surface.
6.28. z = x2 + 2y2, y = x, x ≥ 0, y = 1, z ≥ 0
1.28. D: y = -x, 3x + y = 3, y = 3.
2. Calculate the double integral over the region D, limited to lines.
D: y = x3, y = 3x
3. Calculate the double integral using polar coordinates.
4. Calculate the area of a plane region D, bounded set tench.
4.28. D: y = x2, y = 3 / 4x2 + 1
5. Use double integrals in polar coordinates to calculate the flat area of the figure bounded by the lines indicated.
5.28. ρ2 = a2cos3φ
6. Calculate the volume of the body bounded by a given surface.
6.28. z = x2 + 2y2, y = x, x ≥ 0, y = 1, z ≥ 0
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