ИДЗ 9.2 – Вариант 9. Решения Рябушко А.П.

1. Calculate (up to two decimal places) the area of the figure bounded by the above lines.
1.9 x = 4 (t - sint), y = 4 (1 - cost)

2. Calculate (up to two decimal places) the arc length of the line.
2.9 ρ = 6cos3 (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.
3.9 F: x = √1-y2, y = √ (3/2) x, y = 0, Ox

4. Calculate (up to two decimal places) the surface area formed by the rotation of the arc of the curve L about said axis.
4.9 L: 3x = y3 (0 ≤ y ≤ 2), Oy

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