ИДЗ 13.1 – Вариант 24. Решения Рябушко А.П.

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.

1.24. D: x = 0, x = -2, y ≥ 0, y = x2 + 4

2. Calculate the double integral over the region D, limited to lines.

 D: y = x3, y ≥ 0, y = 4x

3. Calculate the double integral using polar coordinates.

4. Calculate the area of a plane region D, bounded set tench.

4.24. D: x = 4 - y2, x - y + 2 = 0

5. Use double integrals in polar coordinates to calculate the flat area of the figure bounded by the lines indicated.

5.24. ρ = asin2φ

6. Calculate the volume of the body bounded by a given surface.

6.24. x2 + y2 = 4y, z2 = 4 - y, z ≥ 0

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