AQA-73671-QuestionPaper-MQP36A3

Answer ALL questions in the space provided. 1 Which of the integrals below is NOT an improper integral? Circle your answer. [1 mark] ð 1 0 ex dx ð 2 0 1 1 x2 dx ð 1 0 ffiffiffi x p dx ð 1 0 1 ffiffiffi x p dx 4 (04) 2 Which one of the matrices below represents a rotation of 90o about the x-axis? Circle your answer. [1 mark] 10 0 01 0 0 0 1 2 4 3 5 100 0 10 0 01 2 4 3 5 100 001 010 2 4 3 5 10 0 0 0 1 01 0 2 4 3 5 [Turn over] 5 (05) 3 The quadratic equation ax2 + bx + c =0 (a, b, c 2 R) has real roots a and b. One of the four statements below is incorrect. Which statement is INCORRECT? Tick (3) ONE box. [1 mark] c = 0 ) a = 0 or b = 0 c = a ) a is the reciprocal of b b 0 and c 0 ) a 0 and b 0 b = 0 ) a = b 6 (06) 4 It is given that 1 3i is one root of the quartic equation 4 2 3 + p 2 + r + 80 = 0 where p and r are real numbers.