Unformatted text preview: ∂ ∂y [ y 2 ] ² dA =ZZ D 2 y dA On the other hand, the centroid is deﬁned by ¯ x = 1 A ZZ D xdA ¯ y = 1 A ZZ D y dA Combining these equations, we ﬁnd that 1 2 A Z C x 2 dy = 1 A ZZ D xdA = ¯ x1 2 A Z C y 2 dx = 1 A ZZ D y dA = ¯ y...
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 Spring '08
 DORAIS
 Math, Calculus, Topology, simple closed path

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