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A-Level MathematicsYear 2019Q5

page 05 MARKS 5. The diagram below shows the graph of a cubic function ( ) y g x = , with stationary points at and = − = 2 4 x x . O 4 −2 x y ( ) y g x = On the diagram in your answer booklet, sketch the graph of ( ) y g x ′ = . 6. (a) Express cos sin 2 3 ° ° x x − in the form ( ) cos ° k x a + where 0 0 360 k a > ≤ < and . (b) Hence solve cos sin ° ° 2 3 3 0 360 x x x − = ≤ < for . 7. (a) Express 2 6 24 25 x x − + − in the form ( ) . p x q r + + 2 (b) Given that ( ) 2 2 f x x x x = − + − + 3 2 12 5 9, show that ( ) f x is strictly decreasing for all . x∈\ [Turn over 2 4 3 3 3

Mathematics A-Level Diagram
Paper Source:NH_Mathematics_all_2019.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)