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# Solutions to Math Methods for Physics and Engineering 3e by Riley

Visit the Textbook's Page on Amazon.comChapter 1: Preliminary algebra | ||||||||
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Exercise 1.1 | Exercise 1.2 | Exercise 1.3 | Exercise 1.4 | Exercise 1.5 | Exercise 1.6 | Exercise 1.7 | Exercise 1.8 | Exercise 1.9 |

Exercise 1.10 | Exercise 1.11 | Exercise 1.12 | Exercise 1.13 | Exercise 1.14 | Exercise 1.15 | Exercise 1.16 | Exercise 1.17 | Exercise 1.18 |

Exercise 1.19 | Exercise 1.20 | Exercise 1.21 | Exercise 1.22 | Exercise 1.23 | Exercise 1.24 | Exercise 1.25 | Exercise 1.26 | Exercise 1.27 |

Exercise 1.28 | Exercise 1.29 | Exercise 1.30 | Exercise 1.31 | Exercise 1.32 | Exercise 1.33 |

Chapter 2: Preliminary calculus | ||||||||
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Exercise 2.1 | Exercise 2.2 | Exercise 2.3 | Exercise 2.4 | Exercise 2.5 | Exercise 2.6 | Exercise 2.7 | Exercise 2.8 | Exercise 2.9 |

Exercise 2.10 | Exercise 2.11 | Exercise 2.12 | Exercise 2.13 | Exercise 2.14 | Exercise 2.15 | Exercise 2.16 | Exercise 2.17 | Exercise 2.18 |

Exercise 2.19 | Exercise 2.20 | Exercise 2.21 | Exercise 2.22 | Exercise 2.23 | Exercise 2.24 | Exercise 2.25 | Exercise 2.26 | Exercise 2.27 |

Exercise 2.28 | Exercise 2.29 | Exercise 2.30 | Exercise 2.31 | Exercise 2.32 | Exercise 2.33 | Exercise 2.34 | Exercise 2.35 | Exercise 2.36 |

Exercise 2.37 | Exercise 2.38 | Exercise 2.39 | Exercise 2.40 | Exercise 2.41 | Exercise 2.42 | Exercise 2.43 | Exercise 2.44 | Exercise 2.45 |

Exercise 2.46 | Exercise 2.47 | Exercise 2.48 | Exercise 2.49 | Exercise 2.50 |

Chapter 3: Complex numbers and hyperbolic functions | |||||||
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Exercise 3.1 | Exercise 3.2 | Exercise 3.3 | Exercise 3.4 | Exercise 3.5 | Exercise 3.6 | Exercise 3.7 | Exercise 3.8 |

Exercise 3.9 | Exercise 3.10 | Exercise 3.11 | Exercise 3.12 | Exercise 3.13 | Exercise 3.14 | Exercise 3.15 | Exercise 3.16 |

Exercise 3.17 | Exercise 3.18 | Exercise 3.19 | Exercise 3.20 | Exercise 3.21 | Exercise 3.22 | Exercise 3.23 | Exercise 3.24 |

Exercise 3.25 | Exercise 3.26 | Exercise 3.27 | Exercise 3.28 |

Chapter 4: Series and limits | ||||||||
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Exercise 4.1 | Exercise 4.2 | Exercise 4.3 | Exercise 4.4 | Exercise 4.5 | Exercise 4.6 | Exercise 4.7 | Exercise 4.8 | Exercise 4.9 |

Exercise 4.10 | Exercise 4.11 | Exercise 4.12 | Exercise 4.13 | Exercise 4.14 | Exercise 4.15 | Exercise 4.16 | Exercise 4.17 | Exercise 4.18 |

Exercise 4.19 | Exercise 4.20 | Exercise 4.21 | Exercise 4.22 | Exercise 4.23 | Exercise 4.24 | Exercise 4.25 | Exercise 4.26 | Exercise 4.27 |

Exercise 4.28 | Exercise 4.29 | Exercise 4.30 | Exercise 4.31 | Exercise 4.32 | Exercise 4.33 | Exercise 4.34 | Exercise 4.35 | Exercise 4.36 |

Chapter 5: Partial differentiation | ||||||||
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Exercise 5.1 | Exercise 5.2 | Exercise 5.3 | Exercise 5.4 | Exercise 5.5 | Exercise 5.6 | Exercise 5.7 | Exercise 5.8 | Exercise 5.9 |

Exercise 5.10 | Exercise 5.11 | Exercise 5.12 | Exercise 5.13 | Exercise 5.14 | Exercise 5.15 | Exercise 5.16 | Exercise 5.17 | Exercise 5.18 |

Exercise 5.19 | Exercise 5.20 | Exercise 5.21 | Exercise 5.22 | Exercise 5.23 | Exercise 5.24 | Exercise 5.25 | Exercise 5.26 | Exercise 5.27 |

Exercise 5.28 | Exercise 5.29 | Exercise 5.30 | Exercise 5.31 | Exercise 5.32 | Exercise 5.33 | Exercise 5.34 | Exercise 5.35 |

Chapter 6: Multiple integrals | |||||||
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Exercise 6.1 | Exercise 6.2 | Exercise 6.3 | Exercise 6.4 | Exercise 6.5 | Exercise 6.6 | Exercise 6.7 | Exercise 6.8 |

Exercise 6.9 | Exercise 6.10 | Exercise 6.11 | Exercise 6.12 | Exercise 6.13 | Exercise 6.14 | Exercise 6.15 | Exercise 6.16 |

Exercise 6.17 | Exercise 6.18 | Exercise 6.19 | Exercise 6.20 | Exercise 6.21 | Exercise 6.22 | Exercise 6.23 |

Chapter 7: Vector algebra | ||||||||
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Exercise 7.1 | Exercise 7.2 | Exercise 7.3 | Exercise 7.4 | Exercise 7.5 | Exercise 7.6 | Exercise 7.7 | Exercise 7.8 | Exercise 7.9 |

Exercise 7.10 | Exercise 7.11 | Exercise 7.12 | Exercise 7.13 | Exercise 7.14 | Exercise 7.15 | Exercise 7.16 | Exercise 7.17 | Exercise 7.18 |

Exercise 7.19 | Exercise 7.20 | Exercise 7.21 | Exercise 7.22 | Exercise 7.23 | Exercise 7.24 | Exercise 7.25 | Exercise 7.26 | Exercise 7.27 |

Chapter 8: Matrices and vector spaces | ||||||||
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Exercise 8.1 | Exercise 8.2 | Exercise 8.3 | Exercise 8.4 | Exercise 8.5 | Exercise 8.6 | Exercise 8.7 | Exercise 8.8 | Exercise 8.9 |

Exercise 8.10 | Exercise 8.11 | Exercise 8.12 | Exercise 8.13 | Exercise 8.14 | Exercise 8.15 | Exercise 8.16 | Exercise 8.17 | Exercise 8.18 |

Exercise 8.19 | Exercise 8.20 | Exercise 8.21 | Exercise 8.22 | Exercise 8.23 | Exercise 8.24 | Exercise 8.25 | Exercise 8.26 | Exercise 8.27 |

Exercise 8.28 | Exercise 8.29 | Exercise 8.30 | Exercise 8.31 | Exercise 8.32 | Exercise 8.33 | Exercise 8.34 | Exercise 8.35 | Exercise 8.36 |

Exercise 8.37 | Exercise 8.38 | Exercise 8.39 | Exercise 8.40 | Exercise 8.41 | Exercise 8.42 | Exercise 8.43 |

Chapter 9: Normal modes | ||||
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Exercise 9.1 | Exercise 9.2 | Exercise 9.3 | Exercise 9.4 | Exercise 9.5 |

Exercise 9.6 | Exercise 9.7 | Exercise 9.8 | Exercise 9.9 | Exercise 9.10 |

Chapter 10: Vector calculus | |||||||
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Exercise 10.1 | Exercise 10.2 | Exercise 10.3 | Exercise 10.4 | Exercise 10.5 | Exercise 10.6 | Exercise 10.7 | Exercise 10.8 |

Exercise 10.9 | Exercise 10.10 | Exercise 10.11 | Exercise 10.12 | Exercise 10.13 | Exercise 10.14 | Exercise 10.15 | Exercise 10.16 |

Exercise 10.17 | Exercise 10.18 | Exercise 10.19 | Exercise 10.20 | Exercise 10.21 | Exercise 10.22 | Exercise 10.23 | Exercise 10.24 |

Chapter 11: Line, surface and volume integrals | ||||||
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Exercise 11.1 | Exercise 11.2 | Exercise 11.3 | Exercise 11.4 | Exercise 11.5 | Exercise 11.6 | Exercise 11.7 |

Exercise 11.8 | Exercise 11.9 | Exercise 11.10 | Exercise 11.11 | Exercise 11.12 | Exercise 11.13 | Exercise 11.14 |

Exercise 11.15 | Exercise 11.16 | Exercise 11.17 | Exercise 11.18 | Exercise 11.19 | Exercise 11.20 | Exercise 11.21 |

Exercise 11.22 | Exercise 11.23 | Exercise 11.24 | Exercise 11.25 | Exercise 11.26 | Exercise 11.27 | Exercise 11.28 |

Chapter 12: Fourier series | ||||||
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Exercise 12.1 | Exercise 12.2 | Exercise 12.3 | Exercise 12.4 | Exercise 12.5 | Exercise 12.6 | Exercise 12.7 |

Exercise 12.8 | Exercise 12.9 | Exercise 12.10 | Exercise 12.11 | Exercise 12.12 | Exercise 12.13 | Exercise 12.14 |

Exercise 12.15 | Exercise 12.16 | Exercise 12.17 | Exercise 12.18 | Exercise 12.19 | Exercise 12.20 | Exercise 12.21 |

Exercise 12.22 | Exercise 12.23 | Exercise 12.24 | Exercise 12.25 | Exercise 12.26 |

Chapter 13: Integral transform | ||||||
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Exercise 13.1 | Exercise 13.2 | Exercise 13.3 | Exercise 13.4 | Exercise 13.5 | Exercise 13.6 | Exercise 13.7 |

Exercise 13.8 | Exercise 13.9 | Exercise 13.10 | Exercise 13.11 | Exercise 13.12 | Exercise 13.13 | Exercise 13.14 |

Exercise 13.15 | Exercise 13.16 | Exercise 13.17 | Exercise 13.18 | Exercise 13.19 | Exercise 13.20 | Exercise 13.21 |

Exercise 13.22 | Exercise 13.23 | Exercise 13.24 | Exercise 13.25 | Exercise 13.26 | Exercise 13.27 | Exercise 13.28 |

Chapter 14: First-order ordinary differential equations | |||||||
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Exercise 14.1 | Exercise 14.2 | Exercise 14.3 | Exercise 14.4 | Exercise 14.5 | Exercise 14.6 | Exercise 14.7 | Exercise 14.8 |

Exercise 14.9 | Exercise 14.10 | Exercise 14.11 | Exercise 14.12 | Exercise 14.13 | Exercise 14.14 | Exercise 14.15 | Exercise 14.16 |

Exercise 14.17 | Exercise 14.18 | Exercise 14.19 | Exercise 14.20 | Exercise 14.21 | Exercise 14.22 | Exercise 14.23 | Exercise 14.24 |

Exercise 14.25 | Exercise 14.26 | Exercise 14.27 | Exercise 14.28 | Exercise 14.29 | Exercise 14.30 | Exercise 14.31 |

Chapter 15: Higher-order ordinary differential equations | |||||||
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Exercise 15.1 | Exercise 15.2 | Exercise 15.3 | Exercise 15.4 | Exercise 15.5 | Exercise 15.6 | Exercise 15.7 | Exercise 15.8 |

Exercise 15.9 | Exercise 15.10 | Exercise 15.11 | Exercise 15.12 | Exercise 15.13 | Exercise 15.14 | Exercise 15.15 | Exercise 15.16 |

Exercise 15.17 | Exercise 15.18 | Exercise 15.19 | Exercise 15.20 | Exercise 15.21 | Exercise 15.22 | Exercise 15.23 | Exercise 15.24 |

Exercise 15.25 | Exercise 15.26 | Exercise 15.27 | Exercise 15.28 | Exercise 15.29 | Exercise 15.30 | Exercise 15.31 | Exercise 15.32 |

Exercise 15.33 | Exercise 15.34 | Exercise 15.35 | Exercise 15.36 | Exercise 15.37 |

Chapter 16: Series solutions of ordinary differential equations | |||||||
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Exercise 16.1 | Exercise 16.2 | Exercise 16.3 | Exercise 16.4 | Exercise 16.5 | Exercise 16.6 | Exercise 16.7 | Exercise 16.8 |

Exercise 16.9 | Exercise 16.10 | Exercise 16.11 | Exercise 16.12 | Exercise 16.13 | Exercise 16.14 | Exercise 16.15 | Exercise 16.16 |

Chapter 17: Eigenfunction methods for differential equations | |||||||
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Exercise 17.1 | Exercise 17.2 | Exercise 17.3 | Exercise 17.4 | Exercise 17.5 | Exercise 17.6 | Exercise 17.7 | Exercise 17.8 |

Exercise 17.9 | Exercise 17.10 | Exercise 17.11 | Exercise 17.12 | Exercise 17.13 | Exercise 17.14 | Exercise 17.15 |

Chapter 18: Special functions | |||||||
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Exercise 18.1 | Exercise 18.2 | Exercise 18.3 | Exercise 18.4 | Exercise 18.5 | Exercise 18.6 | Exercise 18.7 | Exercise 18.8 |

Exercise 18.9 | Exercise 18.10 | Exercise 18.11 | Exercise 18.12 | Exercise 18.13 | Exercise 18.14 | Exercise 18.15 | Exercise 18.16 |

Exercise 18.17 | Exercise 18.18 | Exercise 18.19 | Exercise 18.20 | Exercise 18.21 | Exercise 18.22 | Exercise 18.23 | Exercise 18.24 |

Chapter 19: Quantum operators | ||||
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Exercise 19.1 | Exercise 19.2 | Exercise 19.3 | Exercise 19.4 | Exercise 19.5 |

Exercise 19.6 | Exercise 19.7 | Exercise 19.8 | Exercise 19.9 | Exercise 19.10 |

Chapter 20: Partial differential equations: general and particular solutions | ||||||
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Exercise 20.1 | Exercise 20.2 | Exercise 20.3 | Exercise 20.4 | Exercise 20.5 | Exercise 20.6 | Exercise 20.7 |

Exercise 20.9 | Exercise 20.8 | Exercise 20.10 | Exercise 20.11 | Exercise 20.12 | Exercise 20.13 | Exercise 20.14 |

Exercise 20.15 | Exercise 20.16 | Exercise 20.17 | Exercise 20.18 | Exercise 20.19 | Exercise 20.20 | Exercise 20.21 |

Exercise 20.22 | Exercise 20.23 | Exercise 20.24 | Exercise 20.25 |

Chapter 21: Partial differential equations: separation of variables and other methods | ||||||
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Exercise 21.1 | Exercise 21.2 | Exercise 21.3 | Exercise 21.4 | Exercise 21.5 | Exercise 21.6 | Exercise 21.7 |

Exercise 21.9 | Exercise 21.8 | Exercise 21.10 | Exercise 21.11 | Exercise 21.12 | Exercise 21.13 | Exercise 21.14 |

Exercise 21.15 | Exercise 21.16 | Exercise 21.17 | Exercise 21.18 | Exercise 21.19 | Exercise 21.20 | Exercise 21.21 |

Exercise 21.22 | Exercise 21.23 | Exercise 21.24 | Exercise 21.25 | Exercise 21.26 | Exercise 21.27 | Exercise 21.28 |

Chapter 22: Calculus of variations | |||||||
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Exercise 22.1 | Exercise 22.2 | Exercise 22.3 | Exercise 22.4 | Exercise 22.5 | Exercise 22.6 | Exercise 22.7 | Exercise 22.8 |

Exercise 22.9 | Exercise 22.10 | Exercise 22.11 | Exercise 22.12 | Exercise 22.13 | Exercise 22.14 | Exercise 22.15 | Exercise 22.16 |

Exercise 22.17 | Exercise 22.18 | Exercise 22.19 | Exercise 22.20 | Exercise 22.21 | Exercise 22.22 | Exercise 22.23 | Exercise 22.24 |

Exercise 22.25 | Exercise 22.26 | Exercise 22.27 | Exercise 22.28 | Exercise 22.29 |

Chapter 23: Integral equations | |||||||
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Exercise 23.1 | Exercise 23.2 | Exercise 23.3 | Exercise 23.4 | Exercise 23.5 | Exercise 23.6 | Exercise 23.7 | Exercise 23.8 |

Exercise 23.9 | Exercise 23.10 | Exercise 23.11 | Exercise 23.12 | Exercise 23.13 | Exercise 23.14 | Exercise 23.15 | Exercise 23.16 |

Chapter 24: Complex variables | |||||||
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Exercise 24.1 | Exercise 24.2 | Exercise 24.3 | Exercise 24.4 | Exercise 24.5 | Exercise 24.6 | Exercise 24.7 | Exercise 24.8 |

Exercise 24.9 | Exercise 24.10 | Exercise 24.11 | Exercise 24.12 | Exercise 24.13 | Exercise 24.14 | Exercise 24.15 | Exercise 24.16 |

Exercise 24.17 | Exercise 24.18 | Exercise 24.19 | Exercise 24.20 | Exercise 24.21 | Exercise 24.22 |

Chapter 25: Applications of complex variables | |||||||
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Exercise 25.1 | Exercise 25.2 | Exercise 25.3 | Exercise 25.4 | Exercise 25.5 | Exercise 25.6 | Exercise 25.7 | Exercise 25.8 |

Exercise 25.9 | Exercise 25.10 | Exercise 25.11 | Exercise 25.12 | Exercise 25.13 | Exercise 25.14 | Exercise 25.15 | Exercise 25.16 |

Exercise 25.17 | Exercise 25.18 | Exercise 25.19 | Exercise 25.20 | Exercise 25.21 | Exercise 25.22 | Exercise 25.23 |

Chapter 26: Tensors | |||||||
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Exercise 26.1 | Exercise 26.2 | Exercise 26.3 | Exercise 26.4 | Exercise 26.5 | Exercise 26.6 | Exercise 26.7 | Exercise 26.8 |

Exercise 26.9 | Exercise 26.10 | Exercise 26.11 | Exercise 26.12 | Exercise 26.13 | Exercise 26.14 | Exercise 26.15 | Exercise 26.16 |

Exercise 26.17 | Exercise 26.18 | Exercise 26.19 | Exercise 26.20 | Exercise 26.21 | Exercise 26.22 | Exercise 26.23 | Exercise 26.24 |

Exercise 26.25 | Exercise 26.26 | Exercise 26.27 | Exercise 26.28 | Exercise 26.29 |

Chapter 27: Numerical methods | ||||||
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Exercise 27.1 | Exercise 27.2 | Exercise 27.3 | Exercise 27.4 | Exercise 27.5 | Exercise 27.6 | Exercise 27.7 |

Exercise 27.9 | Exercise 27.8 | Exercise 27.10 | Exercise 27.11 | Exercise 27.12 | Exercise 27.13 | Exercise 27.14 |

Exercise 27.15 | Exercise 27.16 | Exercise 27.17 | Exercise 27.18 | Exercise 27.19 | Exercise 27.20 | Exercise 27.21 |

Exercise 27.22 | Exercise 27.23 | Exercise 27.24 | Exercise 27.25 | Exercise 27.26 | Exercise 27.27 |

Chapter 28: Group theory | |||||||
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Exercise 28.1 | Exercise 28.2 | Exercise 28.3 | Exercise 28.4 | Exercise 28.5 | Exercise 28.6 | Exercise 28.7 | Exercise 28.8 |

Exercise 28.9 | Exercise 28.10 | Exercise 28.11 | Exercise 28.12 | Exercise 28.13 | Exercise 28.14 | Exercise 28.15 | Exercise 28.16 |

Exercise 28.17 | Exercise 28.18 | Exercise 28.19 | Exercise 28.20 | Exercise 28.21 | Exercise 28.22 | Exercise 28.23 |

Chapter 29: Representation theory | ||||||
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Exercise 29.1 | Exercise 29.2 | Exercise 29.3 | Exercise 29.4 | Exercise 29.5 | Exercise 29.6 | Exercise 29.7 |

Exercise 29.9 | Exercise 29.8 | Exercise 29.10 | Exercise 29.11 | Exercise 29.12 | Exercise 29.13 |

Chapter 30: Probability | |||||||
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Exercise 30.1 | Exercise 30.2 | Exercise 30.3 | Exercise 30.4 | Exercise 30.5 | Exercise 30.6 | Exercise 30.7 | Exercise 30.8 |

Exercise 30.9 | Exercise 30.10 | Exercise 30.11 | Exercise 30.12 | Exercise 30.13 | Exercise 30.14 | Exercise 30.15 | Exercise 30.16 |

Exercise 30.17 | Exercise 30.18 | Exercise 30.19 | Exercise 30.20 | Exercise 30.21 | Exercise 30.22 | Exercise 30.23 | Exercise 30.24 |

Exercise 30.25 | Exercise 30.26 | Exercise 30.27 | Exercise 30.28 | Exercise 30.29 | Exercise 30.30 | Exercise 30.31 | Exercise 30.32 |

Exercise 30.33 | Exercise 30.34 | Exercise 30.35 | Exercise 30.36 | Exercise 30.37 | Exercise 30.38 | Exercise 30.39 | Exercise 30.40 |

Chapter 31: Statistics | ||||||
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Exercise 31.1 | Exercise 31.2 | Exercise 31.3 | Exercise 31.4 | Exercise 31.5 | Exercise 31.6 | Exercise 31.7 |

Exercise 31.8 | Exercise 31.9 | Exercise 31.10 | Exercise 31.11 | Exercise 31.12 | Exercise 31.13 | Exercise 31.14 |

Exercise 31.15 | Exercise 31.16 | Exercise 31.17 | Exercise 31.18 | Exercise 31.19 | Exercise 31.20 |