1. Calculate (up to two decimal places) the area of the figure bounded by the above lines.
1.17 x = 3cost, y = 2sint
2. Calculate (up to two decimal places) the arc length of the line.
2.17 9y2 = 4 (3 - x) 3, between the points of intersection with the axis Oy
3. Calculate (up to two decimal places) the volume of the body obtained by rotating the figure F around said axes.
3.17 F: ρ = 2 (1 + cos), the polar axis
4. Calculate (up to two decimal places) the surface area formed by the rotation of the arc of the curve L about said axis.
4.17 L: y2 = 2x, cut off by the line 2x = 3, Ox
Detailed solution. Decorated in Microsoft Word 2003. (Target decided to use formula editor)
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