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A-Level MathematicsYear 2022Q8

28   Question 8 continued ___________________________________________ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ Turn over 29   Question 8 continued _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ (Total for Question 8 is 13 marks) 30   9. y = cosh n x n  5 (a) (i) Show that d d 2 2 y x = n 2 cosh n x – n(n – 1)cosh n – 2 x (4) (ii) Determine an expression for d d 4 4 y x (2) (b) Hence determine the first three non‑zero terms of the Maclaurin series for y, giving each coefficient in simplest form. (2) _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ Turn over 31   Question 9 continued _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ ___________________________________________

Paper Source:9fm0-02-que-20220609.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)