IDZ 9.2 - Option 19. Decisions Ryabushko AP

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

1.19 x = 3 (cost + tsint), y = 3 (sint - tcost), y = 0, (0 ≤ t ≤ π)

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

2.19 y = lnsinx, (π / 3 ≤ x ≤ π / 2)

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

3.19 F: x2 / 16 + y2 / 1 = 1, Ox

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

4.19 L: ρ2 = 4cos2, the polar axis

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