Mathematics 30 June 1999 Grade 12 Diploma Exam

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Use the following information to answer the next question. The partial graph of the function f (θ ) = a sin(θ + c) + d is shown below. f( ) 40 P 35 30 25 20 15 10 5 Q π π 3π 2π 2 2 The graph has a maximum at P(0, 37) and a minimum at Q(π, 5). Numerical Response 3. Based on the information above, the value of d, correct to the nearest whole number, is __________. (Record your answer in the numerical-response section on the answer sheet.) 8
14. Given that log b 64 = 3 , the value of b is 2 A. 16 B. 42 2 3 C. 96 D. 512 15. If log 5 (125x) = 25, then the value of x is A. 5 28 B. 5 22 25 C. 5 3 D. 5 9
Page 1 and 2: athematics 30 Mathematics 30 Mathem
Page 3 and 4: Multiple Choice • Decide which of
Page 5 and 6: 1. The function f (x) = x 3 - 6 is
Page 7 and 8: Use the following information to an
Page 9 and 10: Numerical Response 1. The polynomia
Page 11: 13. If (π, -6) satisfies the equat
Page 17 and 18: Numerical Response 4. An exponentia
Page 21 and 22: 25. The foci of a hyperbola are F 1
Page 25 and 26: 32. If the sum of the first n terms
Page 27 and 28: 37. In the expansion of (x + 2y) 8
Page 31 and 32: • Write an expression for t n as
Page 33 and 34: • Assume that it becomes necessar
Page 35 and 36: • Identify the error that was mad
Page 37 and 38: Fold and tear along perforation. 0
Page 39 and 40: No marks will be given for work don
Page 41 and 42: Mathematics 30 Diploma Examination
Page 43 and 44: SAMPLE ANSWERS TO THE WRITTEN-RESPO
Page 45 and 46: • The store will lose money on th
Page 47 and 48: • Assume that it becomes necessar
Page 49 and 50: A POSSIBLE SOLUTION Student A Stude

Mathematics 30 June 1999 Grade 12 Diploma Exam

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