IDZ 9.2 - Option 7. Decisions Ryabushko AP

IDZ 9.2 - Option 7. Decisions Ryabushko AP

1. Calculate (up to two decimal places) the area of the figure bounded by the above lines.
1.7 ρ = 2 (1 - cosφ)

2. Calculate (up to two decimal places) the arc length of the line.
2.7 y2 = (x + 1) 3, severed the line x = 4

3. Calculate (up to two decimal places) the volume of the body obtained by rotating the figure F around said axes.
3.7 F: y2 = x, x2 = y, 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.
4.7 L: x = 2 (t - sint), y = 2 (1 - cost) (0 ≤ t ≤ 2π), Ox

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