Edexcel Mathematics October 2021 · Paper 1 · Question 4 · ExamRizz

ExamRizzEdexcel MathematicsMathematics

October 2021 · Paper 1 · Question 4 · 9 marks

4. The curve with equation y = f (x ) where f ( x) = x2 + ln (2x2 − 4x + 5) has a single turning point at x = α (a) Show that α is a solution of the equation 2x3 − 4x2 + 7x − 2 = 0 (4) The iterat ive formula xn + 1 = 1 7(2 + 4xn2 − 2xn3) is used to find an approximate value for α. Starting with x1 = 0.3 (b) calculate, giving each answer to 4 decimal places, (i) the value of x2 (ii) the value of x4 (3) Using a suitable interval and a suitable function that should be stated, (c) show that α is 0.341 to 3 decimal places. (2) 9 10 11

Lesson: Introduction to Differentiation and First Principles (Polynomials)