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Published byΦωτινή Λαιμός Modified over 5 years ago
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Solids of Revolution PART DEUX: WaShErS Rita Korsunsky
Region is revolving around the x-axis and y-axis Rita Korsunsky
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WASHERS method of finding the volume of the solid
The region is revolved around a fixed line (x-axis) The volume can be imagined to be created from an infinite number of infinitely thin washers link
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Find the volume V of a solid when the region between the graphs of g(x) and f(x) on [a,b] is rotated around the horizontal line. V = difference between the volumes created by rotating the regions bounded by the graphs of g(x) and f(x) on [a,b] separately around the same line
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Example 1 The region bounded by the graphs of the equation x2 = y – 2 and 2y – x – 2 = 0 and by the vertical lines x = 0 and x = 1 is revolved around the x-axis. Find the volume of the resulting solid
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Example 2 8 R r
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