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1. (16) Consider the system of equations 21 + 2 + 3 3 = 4 1 2 12 33 = 6 a.) (8) Does the
1. (16) Consider the system of equations 21 + 2 + 3 3 = 4 1 2 12 33 = 6 a.) (8) Does the system implicitly define 1 and 2 as functions of 3 in the neighbourhood of the point (1 = 1 2 , 2 = 2, 3 = 3) ? Justify your answer with reference to the implicit function theorem. b.) (8) If yes, find an expression for 23 . What is the value of this derivative at the given point?
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