MathsQuest 11: Mathematical Methods VCE Units 1 and 2 Solutions Manual & eBookPLUS(Maths Quest for Victoria Senior Series)

Maths Quest 11 Mathematical Methods Units 1 and 2 Solutions Manual with eBookPLUS contains fully worked solutions to every question in the Maths Quest 11 Mathematical Methods Units 1 and 2 student text. This resource is a printed student text that includes the Maths Quest 11 Mathematical Methods Units 1 and 2 Solutions Manual eBookPLUS. For more products in this series click here.

Table of Contents:
About eBookPLUS vi Topic 1 — Lines and linear relationships 1 Exercise 1.2 — Linearly related variables, linear equations and inequations 1 Exercise 1.3 — Systems of 3 × 3 simultaneous linear equations 7 Exercise 1.4 — Linear graphs and their equations 9 Exercise 1.5 — Intersections of lines and their applications 14 Exercise 1.6 — Coordinate geometry of the straight line 18 Topic 2 — Algebraic foundations 25 Exercise 2.2 — Algebraic skills 25 Exercise 2.3 — Pascal’s triangle and binomial expansions 29 Exercise 2.4 — The binomial theorem 31 Exercise 2.5 — Sets of real numbers 36 Exercise 2.6 — Surds 37 Topic 3 — Quadratic relationships 45 Exercise 3.2 — Quadratic equations with rational roots 45 Exercise 3.3 — Quadratics over R 48 Exercise 3.4 — Applications of quadratic equations 54 Exercise 3.5 — Graphs of quadratic polynomials 57 Exercise 3.6 — Determining the rule from a graph of a quadratic polynomial 65 Exercise 3.7 — Quadratic inequations 68 Exercise 3.8 — Quadratic models and applications 73 Topic 4 — Cubic polynomials 77 Exercise 4.2 — Polynomials 77 Exercise 4.3 — The remainder and factor theorems 82 Exercise 4.4 — Graphs of cubic polynomials 87 Exercise 4.5 — Equations of cubic polynomials 96 Exercise 4.6 — Cubic models and applications 102 Topic 5 — Higher-degree polynomials 109 Exercise 5.2 — Quartic polynomials 109 Exercise 5.3 — Families of polynomials 116 Exercise 5.4 — Numerical approximations to roots of polynomial equations 122 Topic 6 — Functions and relations 129 Exercise 6.2 — Functions and relations 129 Exercise 6.3 — The circle 133 Exercise 6.4 — The rectangular hyperbola and the truncus 140 Exercise 6.5 — The relation y2 = x 149 Exercise 6.6 — Other functions and relations 158 Exercise 6.7 — Transformations of functions 167 Topic 7 — Matrices and applications to transformations 173 Exercise 7.2 — Addition, subtraction and scalar multiplication of matrices 173 Exercise 7.3 — Matrix multiplication 178 Exercise 7.4 — Determinants and inverses of 2 × 2 matrices 188 Exercise 7.5 — Matrix equations and solving 2 × 2 linear simultaneous equations 196 Exercise 7.6 — Translations 213 Exercise 7.7 — Reflections 216 Exercise 7.8 — Dilations 221 Exercise 7.9 — Combinations of transformations 225 Topic 8 — Probability 231 Exercise 8.2 — Probability review 231 Exercise 8.3 — Conditional probability 238 Exercise 8.4 — Independence 245 Exercise 8.5 — Counting techniques 251 Exercise 8.6 — Binomial coefficients and Pascal’s triangle 260 Topic 9 — Trigonometric functions 1 269 Exercise 9.2 — Trigonometric ratios 269 Exercise 9.3 — Circular measure 273 Exercise 9.4 — Unit circle definitions 278 Exercise 9.5 — Symmetry properties 282 Exercise 9.6 — The graphs of the sine and cosine functions 287 Topic 10 — Trigonometric functions 2 293 Exercise 10.2 — Trigonometric equations 293 Exercise 10.3 — Transformations of sine and cosine graphs 299 Exercise 10.4 — Applications of sine and cosine functions 311 Exercise 10.5 — The tangent function 317 Exercise 10.6 — Trigonometric relationships 325 Topic 11 — Exponential functions 331 Exercise 11.2 — Indices as exponents 331 Exercise 11.3 — Indices as logarithms 335 Exercise 11.4 — Graphs of exponential functions 342 Exercise 11.5 — Applications of exponential functions 349 Exercise 11.6 — Inverses of exponential functions 354 Topic 12 — Introduction to differential calculus 363 Exercise 12.2 — Rates of change 363 Exercise 12.3 — Gradients of secants 367 Exercise 12.4 — The derivative function 370 Exercise 12.5 — Differentiation of polynomials by rule 377 Topic 13 — Differentiation and applications 385 Exercise 13.2 — Limits, continuity and differentiability 385 Exercise 13.3 — Derivatives of power functions 389 Exercise 13.4 — Coordinate geometry applications of differentiation 394 Exercise 13.5 — Curve sketching 401 Exercise 13.6 — Optimisation problems 411 Exercise 13.7 — Rates of change and kinematics 417 Topic 14 — Anti-differentiation and introduction to integral calculus 423 Exercise 14.2 — Anti-derivatives 423 Exercise 14.3 — Anti-derivative functions and graphs 426 Exercise 14.4 — Applications of anti-differentiation 432 Exercise 14.5 — The definite integral 435