AQA A-level FURTHER MATHEMATICS Paper 2 June 2023

A-level FURTHER MATHEMATICS Paper 2 Monday 5 June 2023 Time allowed: 2 hours Materials  You must have the AQA Formulae and statistical tables booklet for A‑level Mathematics and A‑level Further Mathematics.  You should have a graphical or scientific calculator that meets the requirements of the specification. Instructions  Use black ink or black ball‑point pen. Pencil should only be used for drawing.  Fill in the boxes at the top of this page.  Answer all questions.  You must answer each question in the space provided for that question. If you require extra space for your answer(s), use the lined pages at the end of this book. Write the question number against your answer(s).  Do not write outside the box around each page or on blank pages.  Show all necessary working; otherwise marks for method may be lost.  Do all rough work in this book. Cross through any work that you do not want to be marked. Information  The marks for questions are shown in brackets.  The maximum mark for this paper is 100. Advice  Unless stated otherwise, you may quote formulae, without proof, from the booklet.  You do not necessarily need to use all the space provided. 7367/2 Answer all questions in the spaces provided. outside the box 1 Given that y ¼ sin x þ sinh x , find d2y d x2 þ y Circle your answer. 2 sin x —2 sin x 2 sinh x —2 sinh x 2 Which one of the expressions below is not equal to zero? Circle your answer. [1 mark] [1 mark] lim (x2 e—x ) lim (x5 ln x) lim ex lim (x3ex) x !1 x ! 0 x !1 x5 x ! 0 1 1 1 3 The determinant A ¼ 2 0 2 3 2 1 Which one of the determinants below has a value which is not equal to the value of A? outside the box Tick (3) one box.