IDZ 9.2 - Option 24. Decisions Ryabushko AP

1. Calculate (up to two decimal places) the area of the figure bounded by the above lines.
1.24 ρ = 3sin4φ

2. Calculate (up to two decimal places) the arc length of the line.
2.24 y = ex / 2 + e-x / 2 (0 ≤ x ≤ 2)

3. Calculate (up to two decimal places) the volume of the body obtained by rotating the figure F around said axes.
3.24 F: y = - x2 + 8, 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.
4.24 L: x = 3cos3t, y = 3sin3t, Ox