IDZ 9.2 - Option 13. Decisions Ryabushko AP

1. Calculate (up to two decimal places) the area of the figure bounded by the above lines.
1.13 y = 1 / (1 + x2), y = x2 / 2

2. Calculate (up to two decimal places) the arc length of the line.
2.13 ρ = 3cosφ

3. Calculate (up to two decimal places) the volume of the body obtained by rotating the figure F around said axes.
3.13 F: y = x2, 8x = y2, 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.
4.13 L: x = 3 (t - sint), y = 3 (1 - cost) (0 ≤ t ≤ 2π), Ox