ИДЗ 9.2 – Вариант 16. Решения Рябушко А.П.

1. Calculate (up to two decimal places) the area of the figure bounded by the above lines.
1.16 ρ = 4sin2φ

2. Calculate (up to two decimal places) the arc length of the line.
2.16 x = 5cos2t, y = 5sin2t (0 ≤ t ≤ π / 2)

3. Calculate (up to two decimal places) the volume of the body obtained by rotating the figure F around said axes.
3.16 F: y = 2x - x2, 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.
4.16 L: y2 = 4 + x, severed the line x = 2, Ox

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