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Question 3 (12 marks) (a) In the implicit function 913'2 + x2 = 1, y is a function of x. Find an explicit formula for

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Question 3 (12 marks) (a) In the implicit function 913'2 + x2 = 1, y is a function of x. Find an explicit formula for y' and evaluate it at (x, y) = (0,0). 6 marks (b) Find the quadratic approximation to the function f(x) = ln(x2 + 1) around the point x = 1. Use your formula to find the approximate value of the function at x = 1.1. 6 marks

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