IDZ 9.2 - Option 14. Decisions Ryabushko AP

1. Calculate (up to two decimal places) the area of the figure bounded by the above lines.
1.14 y2 = x + 1, y2 = 9 - x

2. Calculate (up to two decimal places) the arc length of the line.
2.14 ρ = 3 (1 - cosφ)

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