IDZ 9.2 - Option 20. Decisions Ryabushko AP

1. Calculate (up to two decimal places) the area of the figure bounded by the above lines.
1.20 y2 = 4x, x2 = 4y

2. Calculate (up to two decimal places) the arc length of the line.
2.20 x = 9 (t - sint), y = 9 (1 - cost) 0 ≤ t ≤ 2π

3. Calculate (up to two decimal places) the volume of the body obtained by rotating the figure F around said axes.
3.20 F: x3 = (y - 1) 2, x = 0, y = 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.
4.20 L: ρ = 6sinφ, the polar axis