IDZ Ryabushko 9.2 Option 30

IDZ Ryabushko 9.2 Option 30

Solution of IDZ Ryabushko 9.2 - Variant 30

Section: Chapter 9. Definite Integral
Topic: Applications of the Definite Integral: Geometry
Description: Calculation to two decimal places of areas of plane figures bounded by lines (in Cartesian, parametric and polar coordinates), lengths of arcs of curves, volumes of solids of revolution, areas of surfaces of revolution.

Tasks:
Includes 7 subtopics: area of a curvilinear trapezoid, area in polar coordinates, arc length of a curve, arc length in parametric form, arc length in polar coordinates
Solution methods: area formula via definite integral; calculation of arc length by formula; calculation of volume of a solid of revolution; calculation of surface area of revolution; parametric representation of a curve

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