IDZ 9.2 - Option 17. Decisions Ryabushko AP

IDZ 9.2 - Option 17. Decisions Ryabushko AP

1. Calculate (up to two decimal places) the area of the figure bounded by the above lines.
1.17 x = 3cost, y = 2sint

2. Calculate (up to two decimal places) the arc length of the line.
2.17 9y2 = 4 (3 - x) 3, between the points of intersection with the axis Oy

3. Calculate (up to two decimal places) the volume of the body obtained by rotating the figure F around said axes.
3.17 F: ρ = 2 (1 + cos), the polar axis

4. Calculate (up to two decimal places) the surface area formed by the rotation of the arc of the curve L about said axis.
4.17 L: y2 = 2x, cut off by the line 2x = 3, Ox

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