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(a) Formulate the Implicit Function Theorem for an equation for three variables I, y and 22(3) (1)) Use the Implicit Function Theorem to show that

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(a) Formulate the Implicit Function Theorem for an equation for three variables I, y and 22(3) (1)) Use the Implicit Function Theorem to show that the equation 1' '2 z ze =ytre has a unique smooth local solution of the form 2 = 9(1; 3;) about the point (lie, 1). Also nd a linear approximation of 9 about the point (11 c). (9)

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