IDZ 9.2 - Option 8. Decisions Ryabushko AP

IDZ 9.2 - Option 8. Decisions Ryabushko AP

1. Calculate (up to two decimal places) the area of the figure bounded by the above lines.
1.8 ρ2 = 2sin2φ

2. Calculate (up to two decimal places) the arc length of the line.
2.8 y = 1- lncosx, (0 ≤ x ≤ π / 6)

3. Calculate (up to two decimal places) the volume of the body obtained by rotating the figure F around said axes.
3.8 F: y2 = (x - 1) 3, x = 2, 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.
4.8 L: x = cost, y = 3 + sint, Ox

Additional information:

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