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The variables x and y are such that y = In (x2 + 1). Find the expression for [3 marks] Hence, find the approximate change

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The variables x and y are such that y = In (x2 + 1). Find the expression for [3 marks] Hence, find the approximate change in y when x increases from 3 to 3 + h, where h is small. [5 marks] t Add file Answer ALL questions. Show ALL working. * 8 points NOTE: You are allowed to upload ONE PDF or ONE PICTURE ONLY, not exceeding 10 MB. Given that In(x + y) = x, show that da=xty. [8 marks] t Add file Answer ALL questions. Show ALL working. * 9 points NOTE: You are allowed to upload ONE PDF or ONE PICTURE ONLY, not exceeding 10 MB. Use the Simpson's rule with n = 6 strips to find an approximation to To cos (sin x ) dx. [9 marks]

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