ИДЗ 9.2 – Вариант 6. Решения Рябушко А.П.

1. Calculate (up to two decimal places) the area of the figure bounded by the above lines.
1.6 ρ = 3cos2φ

2. Calculate (up to two decimal places) the arc length of the line.
2.6 x2 / 3 + y2 / 3 = 42/3

3. Calculate (up to two decimal places) the volume of the body obtained by rotating the figure F around said axes.
3.6 F: x = 3cos2t, y = 4sin2t, (0 ≤ t ≤ π / 2), 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.
4.6 L: y = √x, severed the line y = x, Ox

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