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A-Level MathematicsYear 2023Q6

page 05 MARKS 6. A function  f x is defined by  2 3 f x x  , 0 x . Find the inverse function,  1 f x  . 7. Solve the equation sin cos ° 2 3 2 ° x x   for 0 360 x   . 8. The diagram shows part of the curve with equation 3 2 2 4 1 y x x x     and the line with equation 5 y x  . The curve and the line intersect at the points where 2 x  and 1 x . y −2 1 x 5 y x   3 2 2 4 1 y x x x     O Calculate the shaded area. [Turn over 3 5 5

Mathematics A-Level Diagram
Paper Source:NH_Mathematics_Paper2_2023.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)