- Page 2 and 3: BasicEngineeringMathematics
- Page 4 and 5: Basic EngineeringMathematicsFourth
- Page 6 and 7: ContentsPrefacexi1. Basic arithmeti
- Page 8 and 9: Contentsvii13.3 Graphical solution
- Page 10 and 11: Contentsix27.4 Vector subtraction 2
- Page 12 and 13: PrefaceBasic Engineering Mathematic
- Page 14 and 15: 1Basic arithmetic1.1 Arithmetic ope
- Page 16 and 17: Basic arithmetic 312. −23148 −
- Page 18 and 19: Basic arithmetic 5Problem 18.23 −
- Page 20 and 21: Fractions, decimals and percentages
- Page 22 and 23: Fractions, decimals and percentages
- Page 26 and 27: Fractions, decimals and percentages
- Page 28 and 29: Indices and standard form 15From la
- Page 30 and 31: Indices and standard form 1716 2 ×
- Page 32 and 33: Indices and standard form 193.6 Fur
- Page 34 and 35: 4Calculations and evaluation of for
- Page 36 and 37: Calculations and evaluation of form
- Page 38 and 39: Calculations and evaluation of form
- Page 40 and 41: Calculations and evaluation of form
- Page 42 and 43: Calculations and evaluation of form
- Page 44 and 45: Computer numbering systems 313. (a)
- Page 46 and 47: Computer numbering systems 3311 110
- Page 48 and 49: Computer numbering systems 35Proble
- Page 50 and 51: 6Algebra6.1 Basic operationsAlgebra
- Page 52 and 53: Algebra 39) 2a 2 − 2ab − b 22a
- Page 54 and 55: Algebra 41Using the third and fourt
- Page 56 and 57: Algebra 43x 2 is a common factor of
- Page 58 and 59: Algebra 4510. p 2 − 3pq × 2p ÷
- Page 60 and 61: 7Simple equations7.1 Expressions, e
- Page 62 and 63: Simple equations 497.3 Further work
- Page 64 and 65: Simple equations 51Problem 18. A re
- Page 66 and 67: Simple equations 53Squaring both si
- Page 68 and 69: Transposition of formulae 55Rearran
- Page 70 and 71: Transposition of formulae 57Now try
- Page 72 and 73: Transposition of formulae 596.7.xy
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Simultaneous equations 61Hence y =
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Simultaneous equations 63It is ofte
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Simultaneous equations 65Thus the i
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Simultaneous equations 67Substituti
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10Quadratic equations10.1 Introduct
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Quadratic equations 71In Problems 1
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Quadratic equations 73Summarizing:i
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Quadratic equations 75Neglecting th
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11Inequalities11.1 Introduction to
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Inequalities 79i.e. 11.4 Inequaliti
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Inequalities 81Solving quadratic in
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12Straight line graphs12.1 Introduc
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Straight line graphs 85Problem 2. P
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Straight line graphs 87(b) Rearrang
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Straight line graphs 89Degrees Fahr
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Straight line graphs 91y147140AShow
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Straight line graphs 93Stress (pasc
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Graphical solution of equations 95x
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Graphical solution of equations 97x
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Graphical solution of equations 99(
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Graphical solution of equations 101
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14Logarithms14.1 Introduction to lo
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Logarithms 105i.e.−5 = 4xi.e. x =
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15Exponential functions15.1 The exp
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Exponential functions 109If in the
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Exponential functions 111Problem 10
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Exponential functions 113( ) 5.14(v
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Exponential functions 115(b) Transp
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16Reduction of non-linear laws to l
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Reduction of non-linear laws to lin
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Reduction of non-linear laws to lin
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Reduction of non-linear laws to lin
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Graphs with logarithmic scales 125i
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Graphs with logarithmic scales 127H
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Graphs with logarithmic scales 1291
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18Geometry and triangles18.1 Angula
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Geometry and triangles 133(d) 227
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Geometry and triangles 135(a) Equil
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Geometry and triangles 137Hence XZ
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Geometry and triangles 139Now try t
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Geometry and triangles 141Assignmen
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Introduction to trigonometry 143Fro
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Introduction to trigonometry 145Sin
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Introduction to trigonometry 147If
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Introduction to trigonometry 149To
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20Trigonometric waveforms20.1 Graph
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Trigonometric waveforms 153between
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Trigonometric waveforms 15545°60°
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Trigonometric waveforms 157y40y 4
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Trigonometric waveforms 159v rads/s
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Trigonometric waveforms 161Assignme
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Cartesian and polar co-ordinates 16
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Cartesian and polar co-ordinates 16
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Areas of plane figures 167WXTable 2
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Areas of plane figures 169(b) Area
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Areas of plane figures 17114. Calcu
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Areas of plane figures 173is 12 500
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The circle 175QBNow try the followi
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The circle 177From equation (2),are
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The circle 179Thus, for example, th
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Volumes of common solids 181Problem
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Volumes of common solids 183Problem
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Volumes of common solids 185Fig. 24
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Volumes of common solids 187From Fi
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Volumes of common solids 189Volume
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25Irregular areas and volumes andme
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Irregular areas and volumes and mea
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Irregular areas and volumes and mea
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Irregular areas and volumes and mea
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Triangles and some practical applic
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Triangles and some practical applic
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Triangles and some practical applic
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Triangles and some practical applic
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27Vectors27.1 IntroductionSome phys
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Vectors 209r10°bHaving obtained H
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Vectors 211bFig. 27.11oFig. 27.12b(
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Vectors 213NThus the velocity of ca
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Adding of waveforms 215y6.16420 2 4
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Adding of waveforms 217The horizont
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Number sequences 219The first four
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Number sequences 2215. Determine th
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Number sequences 223Hence 1 ( 19 =
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Number sequences 225Now try the fol
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Presentation of statistical data 22
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Presentation of statistical data 22
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Presentation of statistical data 23
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Presentation of statistical data 23
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31Measures of central tendency and
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Measures of central tendency and di
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Measures of central tendency and di
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32Probability32.1 Introduction to p
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Probability 243(a) The probability
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Probability 245Two brass washers an
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33Introduction to differentiation33
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Introduction to differentiation 249
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Introduction to differentiation 251
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Introduction to differentiation 253
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Introduction to differentiation 255
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34Introduction to integration34.1 T
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Introduction to integration 259∫
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Introduction to integration 261Prob
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Introduction to integration 263A ta
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Introduction to integration 265Assi
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List of formulae 267(ii) Parallelog
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List of formulae 269Cartesian and p
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Answers to exercises 271Exercise 7
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Answers to exercises 2737. ab 6 c 3
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Answers to exercises 2755. 0.013 3
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Answers to exercises 277Exercise 58
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Answers to exercises 279Exercise 76
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Answers to exercises 281Exercise 96
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Answers to exercises 283Exercise 11
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IndexAbscissa, 83Acute angle, 132,
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Index 287Interior angles, 132, 134I