MathsQuest 12 Mathematical Methods VCE Units 3 and 4 Solutions Manual & eBookPLUS

Maths Quest 12 Mathematical Methods VCE Units 3 and 4 Solutions Manual with eBookPLUS contains fully worked solutions to every question in the Maths Quest 12 Mathematical Methods VCE Units 3 and 4 student text. This resource is a printed student text that includes Maths Quest 12 Mathematical Methods VCE Units 3 and 4 Solutions Manual eBookPLUS. For more products in this series click here

Table of Contents:
About eBookPlus vi Topic 1 — Solving equations 1 Exercise 1.2 — Polynomials 1 Exercise 1.3 — Trigonometric symmetry properties 5 Exercise 1.4 — Trigonometric equations and general solutions 8 Exercise 1.5 — Literal and simultaneous equations 14 Topic 2 — Functions and graphs 19 Exercise 2.2 — Polynomial functions 19 Exercise 2.3 — Other algebraic functions 25 Exercise 2.4 — Combinations of functions 33 Exercise 2.5 — Non-algebraic functions 38 Exercise 2.6 — Modelling and applications 49 Topic 3 — Composite functions, transformations and inverses 53 Exercise 3.2 — Composite functions and functional equations 53 Exercise 3.3 — Transformations 56 Exercise 3.4 — Transformations using matrices 59 Exercise 3.5 — Inverse graphs and relations 62 Exercise 3.6 — Inverse functions 64 Topic 4 — Logarithmic functions 69 Exercise 4.2 — Logarithm laws and equations 69 Exercise 4.3 — Logarithmic scales 72 Exercise 4.4 — Indicial equations 74 Exercise 4.5 — Logarithmic graphs 78 Exercise 4.6 — Applications 83 Topic 5 — Differentiation 87 Exercise 5.2 — Review of differentiation 87 Exercise 5.3 — Differentiation of exponential functions 94 Exercise 5.4 — Applications of exponential functions 97 Exercise 5.5 — Differentiation of trigonometric functions 100 Exercise 5.6 — Applications of trigonometric functions 103 Topic 6 — Further differentiation and applications 107 Exercise 6.2 — The chain rule 107 Exercise 6.3 — The product rule 111 Exercise 6.4 — The quotient rule 116 Exercise 6.5 — Curve sketching 121 Exercise 6.6 — Maximum and minimum problems 133 Exercise 6.7 — Rates of change 137 Topic 7 — Antidifferentiation 143 Exercise 7.2 — Antidifferentiation 143 Exercise 7.3 — Antiderivatives of exponential and trigonometric functions 145 Exercise 7.4 — Families of curves and applications 147 Topic 8 — Integration 153 Exercise 8.2 — The fundamental theorem of integral calculus 153 Exercise 8.3 — Areas under curves 159 Exercise 8.4 — Applications 162 Topic 9 — Logarithmic functions using calculus 171 Exercise 9.2 — The derivative of f(x) = loge(x) 171 Exercise 9.3 — The antiderivative of f(x) = x 1 177 Exercise 9.4 — Applications 182 Topic 10 — Discrete random variables 189 Exercise 10.2 — Discrete random variables 189 Exercise 10.3 — Measures of centre and spread 196 Exercise 10.4 — Applications 204 Topic 11 — The binomial distribution 211 Exercise 11.2 — Bernoulli trials 211 Exercise 11.3 — The binomial distribution 212 Exercise 11.4 — Applications 216 Topic 12 — Continuous probability distributions 219 Exercise 12.2 — Continuous random variables and probability functions 219 Exercise 12.3 — The continuous probability density function 223 Exercise 12.4 — Measures of centre and spread 229 Exercise 12.5 — Linear transformations 237 Topic 13 — The normal distribution 243 Exercise 13.2 — The normal distribution 243 Exercise 13.3 — Calculating probabilities and the standard normal distribution 245 Exercise 13.4 — The inverse normal distribution 246 Exercise 13.5 — Mixed probability application problems 247 Topic 14 — Statistical inference 253 Exercise 14.2 — Population parameters and sample statistics 253 Exercise 14.3 — The distribution of -p 253 Exercise 14.4 — Confidence intervals 255