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Verify that there exists a function g: R->R such that u = (u, v) =...

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Verify that there exists a function g: R->R such that u = (u, v) = g(x) for the system5xu+ 3yv^4 = 82xy(u - v) = 0near the point (1,1,-1,-1) by calculating det(D(u, v)F(1, 1,-1,-1)) where F: R^4->R is a C function satisfying F(1, 1,-1,-1) = 0

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