Overview

Maths Quest 12 Further Mathematics VCE Units 3 and 4 Solutions Manual with eBookPLUS, 5th Edition contains fully worked solutions to every question in the Maths Quest 12 Further Mathematics, Fifth Edition VCE Units 3 & 4 student text. This resource is a printed student text that includes Maths Quest 12 Further Mathematics, Fifth edition VCE Units 3 & 4 Solutions Manual eBookPLUS. For more products in this series click here.

Full Product Details

Author:   Robyn Williams ,  John A. White ,  Kenneth Price ,  M. Barnes
Publisher:   John Wiley & Sons Australia Ltd
Imprint:   Jacaranda Wiley, Australia
Edition:   5th Revised edition
Dimensions:   Width: 21.50cm , Height: 1.70cm , Length: 28.00cm
Weight:   0.811kg
ISBN:  

9780730321743

ISBN 10:   0730321746
Pages:   320
Publication Date:   12 October 2015
Audience:   College/higher education ,  Tertiary & Higher Education
Format:   Paperback
Publisher's Status:   Active
Availability:   Available To Order  
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Table of Contents

About eBookPLUS vii Topic 1 Univariate data 1 Exercise 1.2 Types of data 1 Exercise 1.3 Stem plots 1 Exercise 1.4 Dot plots, frequency tables and histograms, and bar charts 3 Exercise 1.5 Describing the shape of stem plots and histograms 6 Exercise 1.6 The median, the interquartile range, the range and the mode 8 Exercise 1.7 Boxplots 11 Exercise 1.8 The mean of a sample 14 Exercise 1.9 Standard deviation of a sample 17 Exercise 1.10 Populations and simple random samples 17 Exercise 1.11 The 68 95 99.7% rule and z-scores 18 Topic 2 Comparing data sets 23 Exercise 2.2 Back-to-back stem plots 23 Exercise 2.3 Parallel boxplots and dot plots 26 Exercise 2.4 Two-way (contingency) frequency tables and segmented bar charts 28 Topic 3 Introduction to regression 33 Exercise 3.2 Response (dependent) and explanatory (independent) variables 33 Exercise 3.3 Scatterplots 33 Exercise 3.4 Pearson's product-moment correlation coefficient 35 Exercise 3.5 Calculating r and the coefficient of determination 36 Exercise 3.6 Fitting a straight line least-squares regression 38 Exercise 3.7 Interpretation, interpolation and extrapolation 40 Exercise 3.8 Residual analysis 43 Exercise 3.9 Transforming to linearity 46 Topic 4 Time series 51 Exercise 4.2 Time series and trend lines 51 Exercise 4.3 Fitting trend lines and forecasting 53 Exercise 4.4 Smoothing time series 58 Exercise 4.5 Smoothing with an even number of points 63 Exercise 4.6 Median smoothing from a graph 67 Exercise 4.7 Seasonal adjustment 69 Topic 5 Recurrence relations 77 Exercise 5.2 Generating the terms of a first-order recurrence relation 77 Exercise 5.3 First-order linear recurrence relations 79 Exercise 5.4 Graphs of first-order recurrence relations 82 Topic 6 Interest and depreciation 87 Exercise 6.2 Simple interest 87 Exercise 6.3 Compound interest tables 90 Exercise 6.4 Compound interest formula 92 Exercise 6.5 Finding rate or time for compound interest 96 Exercise 6.6 Flat rate depreciation 100 Exercise 6.7 Reducing balance depreciation 103 Exercise 6.8 Unit cost depreciation 106 Topic 7 Loans, investments and asset value 111 Exercise 7.2 Reducing balance loans I 111 Exercise 7.3 Reducing balance loans II 115 Exercise 7.4 Reducing balance loans III 118 Exercise 7.5 Reducing balance and flat rate loan comparisons 125 Exercise 7.6 Effective annual interest rate 127 Exercise 7.7 Perpetuities 129 Exercise 7.8 Annuity investments 132 Topic 8 Matrices 137 Exercise 8.2 Matrix representation 137 Exercise 8.3 Addition, subtraction and scalar operations with matrices 138 Exercise 8.4 Multiplying matrices 141 Exercise 8.5 Multiplicative inverse and solving matrix equations 147 Exercise 8.6 Dominance and communication matrices 149 Exercise 8.7 Application of matrices to simultaneous equations 151 Exercise 8.8 Transition matrices 153 Topic 9 Undirected graphs and networks 159 Exercise 9.2 Basic concepts of a network 159 Exercise 9.3 Planar graphs and Euler's formula 161 Exercise 9.4 Walks, trails, paths, cycles and circuits 162 Exercise 9.5 Trees and their applications 164 Topic 10 Directed graphs and networks 169 Exercise 10.2 Critical path analysis 169 Exercise 10.3 Critical path analysis with backward scanning and crashing 173 Exercise 10.4 Network flow 180 Exercise 10.5 Assignment problems and bipartite graphs 184 Topic 11 Geometry: similarity and mensuration 191 Exercise 11.2 Properties of angles, triangles and polygons 191 Exercise 11.3 Area and perimeter I 193 Exercise 11.4 Area and perimeter II 196 Exercise 11.5 Great circles 198 Exercise 11.6 Total surface area 200 Exercise 11.7 Volume of prisms, pyramids and spheres 203 Exercise 11.8 Similar figures 207 Exercise 11.9 Similar triangles 208 Exercise 11.10 Triangulation similarity 212 Exercise 11.11 Area and volume scale factors 215 Exercise 11.12 Time zones 221 Topic 12 Trigonometry 223 Exercise 12.2 Trigonometry 223 Exercise 12.3 Pythagorean triads 225 Exercise 12.4 Three-dimensional Pythagoras' theorem 227 Exercise 12.5 Trigonometric ratios 229 Exercise 12.6 The sine rule 232 Exercise 12.7 Ambiguous case of the sine rule 235 Exercise 12.8 The cosine rule 237 Exercise 12.9 Special triangles 239 Exercise 12.10 Area of triangles 241 Topic 13 Applications of geometry and trigonometry 245 Exercise 13.2 Angles 245 Exercise 13.3 Angles of elevation and depression 247 Exercise 13.4 Bearings 250 Exercise 13.5 Navigation and specification of locations 254 Exercise 13.6 Triangulation cosine and sine rules 259 Topic 14 Construction and interpretation of graphs 267 Exercise 14.2 Constructing and interpreting straight-line graphs 267 Exercise 14.3 Line segments and step functions 273 Exercise 14.4 Simultaneous equations and break-even point 278 Exercise 14.5 Interpreting non-linear graphs 282 Exercise 14.6 Constructing non-linear relations and graphs 285 Topic 15 Linear inequalities and linear programming 291 Exercise 15.2 Linear inequalities 291 Exercise 15.3 Simultaneous linear inequalities 293 Exercise 15.4 Linear programming 298 Exercise 15.5 Applications 304

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