IDZ 9.2 - Option 27. Decisions Ryabushko AP

1. Calculate (up to two decimal places) the area of the figure bounded by the above lines.
1.27 y = 2x, y = 2x - x2, x = 0, x = 2

2. Calculate (up to two decimal places) the arc length of the line.
2.27 ρ = 5sinφ

3. Calculate (up to two decimal places) the volume of the body obtained by rotating the figure F around said axes.
3.27 F: x = cos3t, y = sin3t, 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.
4.27 L: y = x3 between the lines x = ± 2/3, Ox