Check conditions of the implicit function theorem

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Reference no: EM131231610

Problem -

Let x⁴y³ - ty + 2 = 3xt² - x⁷, where x is a variable and y and t are parameters.

a) Check whether the two conditions of the Implicit Function Theorem hold at point A = (1, 1, 1).

b) Find the expression for ∂x/∂y and evaluate it at A.

Reference no: EM131231610

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