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Home > Mathematics and Science books > Mathematics > Maths Quest 11 Mathematical Methods CAS Solutions Manual 3E Flexisaver & eBookPLUS: (297 Maths Quest for Victoria Senior Series)
Maths Quest 11 Mathematical Methods CAS Solutions Manual 3E Flexisaver & eBookPLUS: (297 Maths Quest for Victoria Senior Series)

Maths Quest 11 Mathematical Methods CAS Solutions Manual 3E Flexisaver & eBookPLUS: (297 Maths Quest for Victoria Senior Series)


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Jacaranda FlexiSavers are packaged as shrink-wrapped, looseleaf pages - making them ideal for student binders. Jacaranda FlexiSavers include access to eBookPLUS. JACARANDA FLEXISAVER BENEFITS FOR PARENTS & STUDENTS: 1. Flexible format enables insertion of students and teacher notes throughout 2. Lightweight option of only bringing the chapters required to school Maths Quest 11 Mathematical Methods CAS Solutions Manual 3e FlexiSaver contains the fully worked solutions to every question in the Maths Quest 11 Mathematical Methods CAS 3e student textbook. Click here to view our range of

Table of Contents:
About eBookPLUS vii Chapter 1 ? Linear functions 1 Exercise 1A ? Solving linear equations and inequations 1 Exercise 1B ? Rearrangement and substitution 2 Exercise 1C ? Gradient of a straight line 3 Exercise 1D ? Sketching linear functions 5 Exercise 1E ? Simultaneous equations 7 Exercise 1F ? Finding the equation of a straight line 9 Exercise 1G ? Distance between two points and midpoint of a segment 13 Exercise 1H ? Linear modelling 15 Chapter review 16 Short answer 16 Multiple choice 18 Extended response 19 Chapter 2 ? Quadratic functions 21 Exercise 2A ? Polynomials 21 Exercise 2B ? Expanding quadratic expressions 21 Exercise 2C ? Factorising quadratic expressions 22 Exercise 2D ? Factorising by completing the square 23 Exercise 2E ? Solving quadratic equations ? Null Factor Law 24 Exercise 2F ? Solving quadratic equations ? completing the square 26 Exercise 2G ? The quadratic formula 28 Exercise 2H ? The discriminant 32 Exercise 2I ? Graphs of quadratic functions as power functions (turning point form) 34 Exercise 2J ? Graphs of quadratic functions (intercepts method) 36 Exercise 2K ? Using technology to solve quadratic equations 47 Exercise 2L ? Simultaneous quadratic and linear equations 48 Chapter review 53 Short answer 53 Multiple choice 54 Extended response 55 Chapter 3 ? Cubic and quartic functions 57 Exercise 3A ? Expanding 57 Exercise 3B ? Long division of polynomials 58 Exercise 3C ? Polynomial values 60 Exercise 3D ? The remainder and factor theorems 61 Exercise 3E ? Factorising polynomials 63 Exercise 3F ? Sum and difference of two cubes 67 Exercise 3G ? Solving polynomial equations 68 Exercise 3H ? Cubic graphs ? intercepts method 72 Exercise 3I ? Quartic graphs ? intercepts method 75 Exercise 3J ? Graphs of cubic functions in power function form 76 Exercise 3K ? Domain, range, maximums and minimums 79 Exercise 3L ? Modelling using technology 80 Exercise 3M ? Finite differences 80 Chapter review 84 Short answer 84 Multiple choice 86 Extended response 86 Exam practice 1 89 Short answer 89 Multiple choice 89 Extended response 89 Chapter 4 ? Relations, functions and transformations 91 Exercise 4A ? Set notation 91 Exercise 4B ? Relations and graphs 91 Exercise 4C ? Domain and range 92 Exercise 4D ? Types of relations (including functions) 94 Exercise 4E ? Power functions (hyperbola, truncus and square root function) 96 Exercise 4F ? Function notation 97 Exercise 4G ? Special types of function (including hybrid functions) 98 Exercise 4H ? Inverse relations and functions 100 Exercise 4I ? Circles 101 Exercise 4J ? Functions and modelling 102 Chapter review 103 Short answer 103 Multiple choice 104 Extended response 106 Chapter 5 ? Exponential and logarithmic functions 109 Exercise 5A ? Index laws 109 Exercise 5B ? Negative and rational powers 110 Exercise 5C ? Indicial equations 111 Exercise 5D ? Graphs of exponential functions 113 Exercise 5E ? Logarithms 115 Exercise 5F ? Solving logarithmic equations 116 Exercise 5G ? Logarithmic graphs 117 Exercise 5H ? Applications of exponential and logarithmic functions 118 Chapter review 121 Short answer 121 Multiple choice 122 Extended response 123 Chapter 6 ? Circular functions 125 Exercise 6A ? Trigonometric ratio revision 125 Exercise 6B ? The unit circle 125 Exercise 6C ? Radians 126 Exercise 6D ? Symmetry 127 Exercise 6E ? Identities 129 Exercise 6F ? Sine and cosine graphs 132 Exercise 6G ? Tangent graphs 134 Exercise 6H ? Solving trigonometric equations 135 Exercise 6I ? Applications 137 Chapter review 139 Short answer 139 Multiple choice 140 Extended response 141 Exam practice 2 143 Short answer 143 Multiple choice 143 Extended response 143 Chapter 7 ? Matrices 145 Exercise 7A ? Addition and subtraction of matrices 145 Exercise 7B ? Multiplying matrices 146 Exercise 7C ? Solving matrix equations 149 Exercise 7D ? Matrices and transformations 153 Chapter review 159 Short answer 159 Multiple choice 161 Extended response 162 Exam practice 3 165 Short answer 165 Multiple choice 165 Extended response 165 Chapter 8 ? Rates of change 167 Exercise 8A ? Identifying rates 167 Exercise 8B ? Constant rates 167 Exercise 8C ? Variable rates 169 Exercise 8D ? Average rates of change 170 Exercise 8E ? Instantaneous rates 172 Exercise 8F ? Motion graphs (kinematics) 173 Exercise 8G ? Relating the gradient function to the original function 175 Exercise 8H ? Relating velocity?time graphs to position?time graphs 176 Exercise 8I ? Rates of change of polynomials 178 Chapter review 180 Short answer 180 Multiple choice 181 Extended response 181 Chapter 9 ? Differentiation 183 Exercise 9A ? Introduction to limits 183 Exercise 9B ? Limits of discontinuous, rational and hybrid functions 183 Exercise 9C ? Differentiation using first principles 185 Exercise 9D ? Finding derivatives by rule 187 Exercise 9E ? Rates of change 192 Exercise 9F ? Sketching graphs containing stationary points 195 Exercise 9G ? Solving maximum and minimum problems 205 Chapter review 209 Short answer 209 Multiple choice 212 Extended response 213 Chapter 10 ? Antidifferentiation (integration) 219 Exercise 10A ? Antidifferentiation 219 Exercise 10B ? Deriving the original function from the gradient function 220 Exercise 10C ? Approximating areas enclosed by functions 222 Exercise 10D ? The fundamental theorem of integral calculus 225 Exercise 10E ? Applications of antidifferentiation 227 Chapter review 230 Short answer 230 Multiple choice 231 Extended response 231 Exam practice 4 233 Short answer 233 Multiple choice 233 Extended response 233 Chapter 11 ? Introductory probability 235 Exercise 11A ? Introduction to experimental probability 235 Exercise 11B ? Calculating probabilities 235 Exercise 11C ? Tree diagrams and lattice diagrams 236 Exercise 11D ? The Addition Law of Probabilities 237 Exercise 11E ? Karnaugh maps and probability tables 238 Exercise 11F ? Conditional probability 240 Exercise 11G ? Transition matrices and Markov chains 241 Exercise 11H ? Independent events 242 Exercise 11I ? Simulation 244 Chapter review 244 Short answer 244 Multiple choice 244 Extended response 245 Chapter 12 ? Combinatorics 247 Exercise 12A ? The addition and multiplication principles 247 Exercise 12B ? Permutations 247 Exercise 12C ? Factorials 247 Exercise 12D ? Permutations using nPr 248 Exercise 12E ? Permutations involving restrictions 249 Exercise 12F ? Arrangements in a circle 249 Exercise 12G ? Combinations using nCr 249 Exercise 12H ? Applications to probability 250 Chapter review 252 Short answer 252 Multiple choice 252 Extended response 253 Exam practice 5 255 Short answer 255 Multiple choice 255 Extended response 255 Solutions to investigations 257 Chapter 3 Investigation ? Graphs in the form y = a(x ? b)n + c 257 Investigation ? Modelling the path of a roller-coaster 257 Chapter 4 Investigation ? Interesting relations 257 Investigation ? A special relation 258 Chapter 5 Investigation ? Investigating logarithmic graphs 1 258 Investigation ? Investigating logarithmic graphs 2 258 Chapter 6 Investigation ? Tangent graphs 259 Chapter 9 Investigation ? Sneaking up on a limit 259 Investigation ? When is a maximum not a maximum? 259 Chapter 10 Investigation ? Definite integrals 259 Chapter 12 Investigation ? Pascal?s triangle 260 Cumulative exam practice 261 Multiple choice 261 Functions & Graphs 261 Algebra 261 Rates of change and calculus 262 Probability 263 Short answer and extended response 264


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Product Details
  • ISBN-13: 9781118310717
  • Publisher: John Wiley & Sons Australia Ltd
  • Publisher Imprint: Jacaranda Wiley, Australia
  • Language: English
  • Weight: 1 gr
  • ISBN-10: 1118310713
  • Publisher Date: 11 Sep 2012
  • Binding: Loose-leaf
  • Series Title: 297 Maths Quest for Victoria Senior Series


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