MST124 Mini examination paper This paper has THREE sections. You should attempt ALL questions in each section. Section A has 5 questions, each worth 2 marks. Section B has 2 question, each worth 3 marks. Section C has 1 question, worth 4 marks. Each question in Section A and one question in Section B is multiple-choice, with ONE correct answer from the options given. Answer each question by circling one of the options given. No marks will be deducted for incorrectly answered questions. For the other question in Section B, and for Section C, write your answers in the spaces provided. Do not include any working; only fully correct answers will be awarded the marks for a question. No marks will be deducted for incorrectly answered questions. You may also simply include your answers by typing them into your TMA document. SECTION A Question 1 Which of the following is equivalent to (5 2x)% 3z(4 + z)? A 722122+ 25 B 22-32x+25 C 722-32x+25 D 22-2224+25 E z%2-12x+25 Question 2 1 How many values of # in radians between 27 and 7 satisfy sin(26) = 5? A B C D E co O = W N Question 3 What is the derivative of (2z + 1)? In(z?) In(2z) ? A 4(2z+1)-3 B 202z+1)-2 C 42z+1)-%-4 D 4(2z+1)- 2 E 202z+1)% -4 Question 4 Which of these gives the interval(s) on which the function f(x) = 922 6z 3 is increasing? A (~o0,3) B (oo, %) U (1,00) c (-1 D (3,00) E (%, 00) Question 5 Which of the following is equal to 6 2 / 2+ Zdz? 9 I A 207} B 320+2In12 C 964 D 320+n9 E 320+ 2In4 SECTION B Question 6 Which of the following gives the solution set to the inequality *+ 7 3x -5 > 4x + 1? A (-00, - ?) U (2, 00) B (-00, - 2 ) U (3, 2) C (-2, 3) U (2, 00) D (-2, 2) E (-00, 2) F An answer not listed above Question 7 A function f has derivative f'(x) = 3x2 - 5x - 2. What are the stationary points of f, and their natures? The x-coordinate of one stationary point is at x = It is a (options: local maximum, local minimum or horizontal point of inflection). The x-coordinate of the other stationary point is at x = It is a (options: local maximum, local minimum or horizontal point of inflection). SECTION C Question 8 Let t = tan( ?) Find an expression for sec x in terms of t, giving your answer in a simplified form sect = [END OF QUESTION PAPER]