IDZ 9.2 - Option 2. Decisions Ryabushko AP

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

1.2 y = x2, y = 3 - x

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

2.2 x = 2 (cost + tsint), y = 2 (sint - tcost) 0 ≤ t ≤ π

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

3.2 F: √x + √y = √2, x = 0, 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.

4.2 L: ρ = 2cosφ, the polar axis

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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.