Download e-book for iPad: A Gardner's Workout: Training the Mind and Entertaining the by Martin Gardner

By Martin Gardner

ISBN-10: 1568811209

ISBN-13: 9781568811208

Listed here are forty-one items, that have been formerly released in a variety of educational journals and renowned magazines, via the esteemed grasp of mathematical video games and puzzles who wrote the medical American video games column for 25 years. those articles span a variety of issues, together with dialogue of why a working laptop or computer will consistently beat a human participant at video games of likelihood, tiling puzzles, computing device and calculator "magic" tips, and a arguable serious assessment of a instructing fad referred to as the "new new Math."

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Additional info for A Gardner's Workout: Training the Mind and Entertaining the Spirit

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Y ϭ x3 ϩ 2 50. y ϭ x3 Ϫ 4x 51. y ϭ xΊx ϩ 5 52. y ϭ Ί25 Ϫ x2 53. x ϭ y3 54. x ϭ y 2 Ϫ 4 Խ 13. y ϭ Խ 3 x ԽԽ 14. y ϭ 1 xϩ2 In Exercises 15 and 16, describe the viewing window that yields the figure. 15. y ϭ x3 ϩ 4x 2 Ϫ 3 ԽԽ Խ 46. y ϭ x 2 ϩ 3 2 Խ 16. y ϭ x ϩ x Ϫ 16 55. y ϭ 8 x 56. y ϭ ԽԽ 57. y ϭ 6 Ϫ x 10 x2 ϩ 1 Խ Խ 58. y ϭ 6 Ϫ x In Exercises 59–62, use a graphing utility to graph the equation. Identify any intercepts and test for symmetry. In Exercises 17 and 18, use a graphing utility to graph the equation.

Y ϭ 6 Ϫ x In Exercises 59–62, use a graphing utility to graph the equation. Identify any intercepts and test for symmetry. In Exercises 17 and 18, use a graphing utility to graph the equation. Move the cursor along the curve to approximate the unknown coordinate of each solution point accurate to two decimal places. 17. y ϭ Ί5 Ϫ x (a) ͑2, y͒ (b) ͑x, 3͒ 18. 5, y͒ (b) ͑x, Ϫ4͒ 59. y 2 Ϫ x ϭ 9 60. x 2 ϩ 4y 2 ϭ 4 61. x ϩ 3y 2 ϭ 6 62. 3x Ϫ 4y 2 ϭ 8 In Exercises 63–70, find the points of intersection of the graphs of the equations.

Point In Exercises 29–34, find an equation of the line that passes through the point and has the given slope. Sketch the line. Point Slope Point Slope 29. ͑0, 3͒ m ϭ 34 30. ͑Ϫ5, Ϫ2͒ m is undefined. 31. ͑0, 0͒ mϭ 2 3 32. ͑0, 4͒ mϭ0 33. ͑3, Ϫ2͒ mϭ3 34. ͑Ϫ2, 4͒ m ϭ Ϫ 35 15. ͑6, 2͒ mϭ0 16. ͑Ϫ4, 3͒ m is undefined. 17. ͑1, 7͒ m ϭ Ϫ3 18. ͑Ϫ2, Ϫ2͒ mϭ2 Slope Copyright 2010 Cengage Learning, Inc. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. 2 In Exercises 35– 44, find an equation of the line that passes through the points, and sketch the line.

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A Gardner's Workout: Training the Mind and Entertaining the Spirit by Martin Gardner


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