IDZ 9.2 - Option 3. Decisions Ryabushko AP

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• Calculate (up to two decimal places) the area of the figure bounded by the above lines.

1.3 y = √x, y = x3

• Calculate (up to two decimal places) the arc length of the line.

2.3 ρ = sin3 (φ / 3), 0 ≤ φ ≤ π / 2

• Calculate (up to two decimal places) the volume of the body obtained by rotating the figure F around said axes.

3.3 F: x2 / 9 + y2 / 4 = 1, Oy

• Calculate (up to two decimal places) the surface area formed by the rotation of the arc of the curve L about said axis.

4.3 L: x = 10 (t - sint), y = 10 (1 - cost) (0 ≤ t ≤ 2π)

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