IDZ 9.2 - Option 21. Decisions Ryabushko AP

1. Calculate (up to two decimal places) the area of the figure bounded by the above lines.
1.21 y2 = x3, x = 2

2. Calculate (up to two decimal places) the arc length of the line.
2.21 ρ = 2 (1 - cosφ)

3. Calculate (up to two decimal places) the volume of the body obtained by rotating the figure F around said axes.
3.21 F: xy = 4, 2x + y - 6 = 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.
4.21 L: x = t - sint, y = 1 - cost (0 ≤ t ≤ 2π), Ox