IDZ 9.2 - Option 13. Decisions Ryabushko AP

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IDZ 9.2 - Option 13. Decisions Ryabushko AP

1. Calculate (up to two decimal places) the area of the figure bounded by the above lines.
1.13 y = 1 / (1 + x2), y = x2 / 2

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

3. Calculate (up to two decimal places) the volume of the body obtained by rotating the figure F around said axes.
3.13 F: y = x2, 8x = y2, 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.
4.13 L: x = 3 (t - sint), y = 3 (1 - cost) (0 ≤ t ≤ 2π), Ox

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Detailed solution. Designed in PDF format for easy viewing of IDZ solutions on smartphones and PCs. In MS Word (doc format) sent additionally.

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