IDZ 9.2 - Option 23. Decisions Ryabushko AP

1. Calculate (up to two decimal places) the area of the figure bounded by the above lines.
1.23 y2 = (4 - x) 3, x = 0

2. Calculate (up to two decimal places) the arc length of the line.
2.23 x = 7 (t - sint), y = 7 (1 - cost) 2π ≤ t ≤ 4π

3. Calculate (up to two decimal places) the volume of the body obtained by rotating the figure F around said axes.
3.23 F: y = 2 - x2, y = x2, 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.
4.23 L: ρ = 2 / 3cosφ, the polar axis