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Boris plays a game of tennis. He servesfrom the base line to his opponent,Steffi.The path...

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Boris plays a game of tennis. He servesfrom the base line to his opponent,Steffi.The path of the ball may be modelledby the quadratic curveH(x) = 2.103 +0.1455x -0.01932xfor 0 ? x ? X.a Find the maximum height ofthe ball during its motion. (2 marks)b The height of the net is 1.07 m. Boris isstanding on the baseline of the court,at a horizontal distance of 11.98 mfrom the net. Show that the ball justpasses over the net.c Suggest a maximum value for X andexplain why this would be a sensiblevalue to take.

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