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?? - 2015 q6

6.
Picture
​Figure 1 is a sketch showing part of the curve with equation
Picture
and part of the line with equation y = 17 – x. The curve and the line intersect at the point A.

(a) Show that the x coordinate of A satisfies the equation 
Picture
(3)

​(b) Use the iterative formula
Picture
to calculate the values of x1, x2 and x3, giving your answers to 3 decimal places
(3)

(c) Use your answer to part (b) to deduce the coordinates of the point A, giving your answers to one decimal place. (2)
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