IDZ 9.2 - Option 27. Decisions Ryabushko AP

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

1.27 y = 2x, y = 2x - x2, x = 0, x = 2

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

2.27 ρ = 5sinφ

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

3.27 F: x = cos3t, y = sin3t, Ox

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

4.27 L: y = x3 between the lines x = ± 2/3, Ox

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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.