MATHEMATICS Paper 2

Materials Time allowed: 1 hour 30 minutes  You must have the AQA Formulae for A‑level Mathematics booklet.  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 need 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 80. Advice  Unless stated otherwise, you may quote formulae, without proof, from the booklet.  You do not necessarily need to use all the space provided. (JUN) PB/Jun22/E6 7356/2 Section A Answer all questions in the spaces provided. 1 Find ð 12x3 dx Circle your answer. 36x2 þ c 3x4 þ c 3x2 þ c 36x4 þ c [1 mark] outside the box 2 Given that cos (y — 20°) ¼ cos 60° which one of the following is a possible value for y? Circle your answer. 40° 140° 280° 320° [1 mark] 3 A curve has equation y ¼ k d2y pffixffiffi where k is a constant. outside the box Find d x2 at the point (4, 2k) on the curve, giving your answer as an expression in terms of k. [5 marks] Turn over for the next question Turn over 4 The equation 9x2 þ 4x þ p2 ¼ 0 has no real solutions for x. outside the box Find the set of possible values of p. Fully justify your answer. [4 marks]