ИДЗ 9.2 – Вариант 19. Решения Рябушко А.П.

1. Calculate (up to two decimal places) the area of the figure bounded by the above lines.
1.19 x = 3 (cost + tsint), y = 3 (sint - tcost), y = 0, (0 ≤ t ≤ π)

2. Calculate (up to two decimal places) the arc length of the line.
2.19 y = lnsinx, (π / 3 ≤ x ≤ π / 2)

3. Calculate (up to two decimal places) the volume of the body obtained by rotating the figure F around said axes.
3.19 F: x2 / 16 + y2 / 1 = 1, 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.
4.19 L: ρ2 = 4cos2, the polar axis

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