IDZ 9.2 - Option 18. Decisions Ryabushko AP

1. Calculate (up to two decimal places) the area of the figure bounded by the above lines.
1.18 y2 = 9x, y = 3x

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

3. Calculate (up to two decimal places) the volume of the body obtained by rotating the figure F around said axes.
3.18 F: x = 7cos3t, y = 7sin3t, 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.
4.18 L: 3y = x3 (0 ≤ x ≤ 1), Ox