ИДЗ 9.2 – Вариант 3. Решения Рябушко А.П.

1. Calculate (up to two decimal places) the area of the figure bounded by the above lines.
1.3 y = √x, y = x3

2. Calculate (up to two decimal places) the arc length of the line.
2.3 ρ = sin3 (φ / 3), 0 ≤ φ ≤ π / 2

3. Calculate (up to two decimal places) the volume of the body obtained by rotating the figure F around said axes.
3.3 F: x2 / 9 + y2 / 4 = 1, Oy

4. Calculate (up to two decimal places) the surface area formed by the rotation of the arc of the curve L about said axis.
4.3 L: x = 10 (t - sint), y = 10 (1 - cost) (0 ≤ t ≤ 2π)

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