Edexcel Mathematics June 2023 · Paper 2 · Question 9 · ExamRizz

ExamRizzEdexcel MathematicsMathematics

June 2023 · Paper 2 · Question 9 · 7 marks

9. The curve C has parametric equations x = t 2 + 6t – 16 y = 6 ln ( t + 3) t > –3 (a) Show that a Cartesian equation for C is y = A ln (x + B) x > –B where A and B are integers to be found. (3) The curve C cuts the y-axis at the point P (b) Show that the equation of the tangent to C at P can be written in the form ax + by = c ln 5 where a , b and c are integers to be found. (4) 23

Lesson: Equations of a Straight Line