Mathematics, 19.03.2020 07:56 inesperezferrere
Use the method of this example to calculate F · dr, C where F(x, y) = 2xyi + (y2 − x2)j (x2 + y2)2 and C is any positively oriented simple closed curve that encloses the origin.
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Given: ae ≅ ce ; de ≅ be prove: abcd is a parallelogram. we have that ab || dc. by a similar argument used to prove that △aeb ≅ △ced, we can show that △ ≅ △ceb by. so, ∠cad ≅ ∠ by cpctc. therefore, ad || bc by the converse of the theorem. since both pair of opposite sides are parallel, quadrilateral abcd is a parallelogram.
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Use the method of this example to calculate F · dr, C where F(x, y) = 2xyi + (y2 − x2)j (x2 + y2)2 a...
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