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Leave blank 1. The table below shows corresponding values of x and y for y = 25-vx The values of y are given to 3

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Leave blank 1. The table below shows corresponding values of x and y for y = 25-vx The values of y are given to 3 decimal places. X 5 5.5 6 6.5 7 6.792 6.298 5.858 5.466 5.113 Using the trapezium rule with all the values of y in the given table. 953 8 Mi (a) obtain an estimate for Asibledue beansvb A lancitemetal giving your answer to 2 decimal places. (3) (b) Using your answer to part (a) and making your method clear, estimate Bum 210PAL in) [ ' ( 3 + 25 - 1 ) dor (4)2. In this question you must show all stages of your working. Solutions relying entirely on calculator technology are not acceptable. The curve C has equation y = 27x- -x 2 -20 (a) Find dy dy . giving each term in simplest form. (b) Hence find the coordinates of the stationary point of C. (4) (c) Find d'y dx2 and hence determine the nature of the stationary point of C. (2)

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