Reshebnik Ryabushko. Solved IDZ 13.1, Option 17
Replenishment date: 06.11.2018
Content: 17v-IDZ13.1.rar (58.64 KB)
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Description
1. Represent the double integral in the form of a repeated integral with external integration over x and external integration over y, if the region D is specified by the indicated lines.
1.17. D: y = - x, y2 = x + 3.
2. Calculate the double integral over the area D bounded by the indicated lines.
D: y3=x, y=x
3. Calculate the double integral using polar coordinates.
4. Calculate the area of the flat area D, bounded by the given lines.
4.17. D: y = 2x, y = 2x - x2, x = 2, x = 0
5. Using double integrals, calculate in polar coordinates the area of a plane figure bounded by the indicated lines.
5.17. ρ2 = a2 (1 + sin2φ)
6. Calculate the volume of the body bounded by the given surfaces.
6.17. y=x2, x=y2, z=3x+2y+6, z=0
1.17. D: y = - x, y2 = x + 3.
2. Calculate the double integral over the area D bounded by the indicated lines.
D: y3=x, y=x
3. Calculate the double integral using polar coordinates.
4. Calculate the area of the flat area D, bounded by the given lines.
4.17. D: y = 2x, y = 2x - x2, x = 2, x = 0
5. Using double integrals, calculate in polar coordinates the area of a plane figure bounded by the indicated lines.
5.17. ρ2 = a2 (1 + sin2φ)
6. Calculate the volume of the body bounded by the given surfaces.
6.17. y=x2, x=y2, z=3x+2y+6, z=0
Additional Information
The solution is executed in Microsoft Word 2003. The document with the IDZ solution is archived in the WinRar program.