4. (2 p. + 4p.) (a) State the Inverse Function Theorem for vector functions. (b) Let f:(0,00) x (0,00) + Rº be the funct
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4. (2 p. + 4p.) (a) State the Inverse Function Theorem for vector functions. (b) Let f:(0,00) x (0,00) + Rº be the funct
4. (2 p. + 4p.) (a) State the Inverse Function Theorem for vector functions. (b) Let f:(0,00) x (0,00) + Rº be the function given by f(u, v) = (u? – v5, sin(qu) – log v). Show that f-1 exists and it is differentiable in a non-empty open set containing (0,1) and compute Df-(0,1). =
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