IDZ 9.2 - Option 4. Decisions Ryabushko AP

IDZ 9.2 - Option 4. Decisions Ryabushko AP

1. Calculate (up to two decimal places) the area of the figure bounded by the above lines.
1.4 x = 7cos3t, y = 7sin3t

2. Calculate (up to two decimal places) the arc length of the line.
2.4 ρ = 2sin3 (φ / 3), 0 ≤ φ ≤ π / 2

3. Calculate (up to two decimal places) the volume of the body obtained by rotating the figure F around said axes.
3.4 F: y3 = x2, y = 1, 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.
4.4 L: y = x2 / 2, cut off by the line y = 3/2, Oy

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