Unformatted text preview: w( ) equals 1,1 and 0 respectively, for the curves in parts (a), (b) and (c) of Exercise 22. Since θ = ∂θ ∂ x i + ∂θ ∂ y j =y i + x j x 2 + y 2 , we have 1 2 π I x dyy dx x 2 + y 2 = 1 2 π I θ • d r = 1 2 π θ( x , y ) ± ± ± ± t = b t = a = w( )....
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 Spring '12
 OnurFen
 Continuous function, Manifold, piecewise smooth curve, polar angle function

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