IDZ 9.2 - Option 1. Decisions Ryabushko AP

IDZ 9.2 - Option 1. Decisions Ryabushko AP

1. Calculate (up to two decimal places) the area of the figure bounded by the above lines.
1.1 ρ = 3√cos2φ

2. Calculate (up to two decimal places) the arc length of the line.
2.1 x = 2cos3t, y = 2sin3t

3. Calculate (up to two decimal places) the volume of the body obtained by rotating the figure F around said axes.
3.1 F: y2 = 4 - x, x = 0, 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.
4.1 L: y = x3 / 3 (-1/2 ≤ x ≤ 1/2), Ox

Additional information:

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