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11. DO NOT WRITE IN THIS AREA O Figure 4 Figure 4 shows a sketch of the graph with equation y= 12x - 3k| where
11. DO NOT WRITE IN THIS AREA O Figure 4 Figure 4 shows a sketch of the graph with equation y= 12x - 3k| where k is a positive constant. (a) Sketch the graph with equation y = f(x) where DO NOT WRITE IN THIS AREA f(x) =k-|2x-3kl stating the coordinates of the maximum point the coordinates of any points where the graph cuts the coordinate axes (4) (b) Find, in terms of k, the set of values of x for which k - |2x - 3k| > x -k giving your answer in set notation. (4) (c) Find, in terms of k, the coordinates of the minimum point of the graph with equation y = 3 -5f _x DO NOT WRITE IN THIS AREA (2)\f15. (a) Express 2cos0 - sino in the form Rcos (0 + a), where R > 0 and 0
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