. Consider the relationship ????(????1, ????2 ) = 0 where ????(????1, ????2 ) = 3 2 ????2 − 1 3 ????1 + 1 3 ????1 2 − 1 2 ????1????2 + ????2 2 − 12 . a.) (5) Does ????(????1, ????2 ) = 0 implicitly define ????2 as a function of ????1 in the neighbourhood of (????1 = 3, ????2 = 2)? Explain your answer using the implicit function theorem. b.) (2) Find the derivative ????????2 ????????1 at this point.



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