Edexcel Mathematics June 2018 · Paper 1 · Question 9 · ExamRizz

ExamRizzEdexcel MathematicsMathematics

June 2018 · Paper 1 · Question 9 · 10 marks

9. y Q O PEastNorth x Figure 4 Figure 4 shows a sketch of the curve with equation x2 − 2xy + 3y2 = 50 (a) Show that d dy xyx yx=− −3(4) The curve is used to model the shape of a cycle track with both x and y measured in km. The points P and Q represent points that are furthest west and furthest east of the origin O, as shown in Figure 4. Using part (a), (b) find the exact coordinates of the point P. (5) (c) Explain briefly how to find the coordinates of the point that is furthest north of the origin O . (You do not need to carry out this calculation). (1) 23 24 25

Lesson: Introduction to Differentiation and First Principles (Polynomials)