Edexcel Mathematics October 2021 · Paper 2 · Question 7 · ExamRizz

ExamRizzEdexcel MathematicsMathematics

October 2021 · Paper 2 · Question 7 · 9 marks

7. In this question you should show all stages of your working. Solutions r elying entirely on calculator technology are not acceptable. xC O lR P(5, –13)y Figure 2 Figure 2 shows a sketch of part of the curve C with equation y = x3 – 10x2 + 27x – 23 The point P (5, –13) lies on C The line l is the tangent to C at P (a) Use differentiation to find the equation of l, giving your answer in the form y = mx + c where m and c are integers to be found. (4) (b) Hence verify that l meets C again on the y-axis. (1) The finite region R, shown shaded in Figure 2, is bounded by the curve C and the line l. (c) Use algebraic integration to find the exact area of R. (4) 17 18 19

Lesson: Introduction to Differentiation and First Principles (Polynomials)