IDZ 9.2 - Option 9. Decisions Ryabushko AP

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

1.9 x = 4 (t - sint), y = 4 (1 - cost)

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

2.9 ρ = 6cos3 (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.

3.9 F: x = √1-y2, y = √ (3/2) x, y = 0, Ox

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

4.9 L: 3x = y3 (0 ≤ y ≤ 2), Oy

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