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A-Level MathematicsYear 2019Q10

31 Turn over Question 10 continued ___________________________________________ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ (Total for Question 10 is 6 marks) 32 11. y x C O Figure 8 Figure 8 shows a sketch of the curve C with equation y = x x , x 0 (a) Find, by firstly taking logarithms, the x coordinate of the turning point of C. (6ROXWLRQV EDVHG HQWLUHO\ RQ JUDSKLFDO RU QXPHULFDO PHWKRGV DUH QRW DFFHSWDEOH ) (5) The point P(Į, 2) lies on C. (b) Show that 1.5 < Į < 1.6 (2) A possible iteration formula that could be used in an attempt to find Į is x x n n xn + − = 1 1 2 Using this formula with x1 = 1.5 (c) find x4 to 3 decimal places, (2) (d) describe the long-term behaviour of xn (2) _ _ _ _ _ _ _ _ _ ___________________________________________

Paper Source:9MA0_02_que_20190613.pdf

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Exam Specification Info

This question is part of the UK A-Level Mathematics syllabus. In the actual exam, structured questions typically require linking specific keywords to gain full marks. Applaa helps you drill these topics.

Syllabus levelAdvanced Level (A-Level)

SubjectMathematics

Official MarksVariable (2–6 marks)