IDZ 9.2 - Option 16. Decisions Ryabushko AP

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

1.16 ρ = 4sin2φ

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

2.16 x = 5cos2t, y = 5sin2t (0 ≤ t ≤ π / 2)

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

3.16 F: y = 2x - x2, 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.

4.16 L: y2 = 4 + x, severed the line x = 2, Ox

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