Edexcel Mathematics Specimen paper · Paper 2 · Question 6 · ExamRizz

ExamRizzEdexcel MathematicsMathematics

Specimen paper · Paper 2 · Question 6 · 9 marks

6. y A Figure 2 Figure 2 shows a sketch of the curve with equation y = f(x), where f(x) = (8 -x) Inx, x>0 The curve cuts the x-axis at the points A and B and has a maximum turning point at Q, as shown in Figure 2. (a) Find the x coordinate of A and the x coordinate of B. (b) Show that the x coordinate of Q satisfies 8 *=I+Inx (c) Show that the x coordinate of Q lies between 3.5 and 3.6 (d) Use the iterative formula (1) (4) (2) 8 1+ Inx, n EN with x, = 3.5 to (i) find the value of x, to 4 decimal places, (ii) find the x coordinate of Q accurate to 2 decimal places.

Lesson: Laws of Indices