A-Level MathematicsYear 2017Q10
Page 05 MARKS 10. Two curves with equations y = x3 − 4x2 + 3x + 1 and y = x2 − 3x + 1 intersect as shown in the diagram. y x O 2 y = x3 − 4x2 + 3x + 1 y = x2 − 3x + 1 (a) Calculate the shaded area. The line passing through the points of intersection of the curves has equation y = 1 − x. y = x3 − 4x2 + 3x + 1 y = x2 − 3x + 1 y = 1 − x y x O 2 (b) Determine the fraction of the shaded area which lies below the line y = 1 − x. [Turn over 5 4
Paper Source:NH_Mathematics_all_2017.pdf
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Exam Specification Info
This question is part of the UK A-Level Mathematics syllabus. In the actual exam, structured questions typically require linking specific keywords to gain full marks. Applaa helps you drill these topics.
Syllabus levelAdvanced Level (A-Level)
SubjectMathematics
Official MarksVariable (2–6 marks)