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Mathematics (AS & A Level) · Feb / March 2022 · Paper 32 · Question 3

9709

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ln x ln y O (0.31, 1.21) (1.06, 0.91) The variables x and y satisfy the equation xny2 = C, where n and C are constants. The graph of ln y against ln x is a straight line passing through the points 0.31, 1.21 and 1.06, 0.91 , as shown in the diagram. Find the value of n and find the value of C correct to 2 decimal places. [5]

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