{"product_id":"jacaranda-maths-quest-12-mathematical-methods-units-34-for-queensland-ebookplus-print-studyon-mathematical-methods-units-34-for-qld-book-code","title":"Jacaranda Maths Quest 12 Mathematical Methods Units 3\u00264 for Queensland eBookPLUS \u0026 Print + StudyON Mathematical Methods Units 3\u00264 for QLD (Book Code)","description":"\u003cp\u003eAbout this resource ix\u003c\/p\u003e \u003cp\u003eAbout eBookPLUS and studyON xii\u003c\/p\u003e \u003cp\u003eAcknowledgements xiii\u003c\/p\u003e \u003cp\u003e\u003cb\u003eUnit 3 Further Calculus 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eTopic 1 the Logarithmic Function 2\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1 The logarithmic function 2 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 Overview 1\u003c\/p\u003e \u003cp\u003e1.2 Review of the index laws 2\u003c\/p\u003e \u003cp\u003e1.3 Logarithmic laws and equations 7\u003c\/p\u003e \u003cp\u003e1.4 Logarithmic scales 17\u003c\/p\u003e \u003cp\u003e1.5 Indicial equations 21\u003c\/p\u003e \u003cp\u003e1.6 Logarithmic graphs 25\u003c\/p\u003e \u003cp\u003e1.7 Applications 32\u003c\/p\u003e \u003cp\u003e1.8 Review: exam practice 37\u003c\/p\u003e \u003cp\u003eAnswers 41\u003c\/p\u003e \u003cp\u003eRevision Unit 3 Topic 1\u003c\/p\u003e \u003cp\u003eChapter 1 47\u003c\/p\u003e \u003cp\u003e\u003cb\u003eTopic 2 Further Differentiation and Applications 2\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 Calculus of exponential functions 48\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Overview 48\u003c\/p\u003e \u003cp\u003e2.2 Review of limits and differentiation 49\u003c\/p\u003e \u003cp\u003e2.3 The exponential function 54\u003c\/p\u003e \u003cp\u003e2.4 Differentiation of exponential functions 61\u003c\/p\u003e \u003cp\u003e2.5 Applications of exponential functions 64\u003c\/p\u003e \u003cp\u003e2.6 Review: exam practice 74\u003c\/p\u003e \u003cp\u003eAnswers 78\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 Calculus of logarithmic functions 83\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Overview 83\u003c\/p\u003e \u003cp\u003e3.2 The natural logarithm and the function y = log\u003csub\u003ee\u003c\/sub\u003e (x) 84\u003c\/p\u003e \u003cp\u003e3.3 The derivative of y = log\u003csub\u003ee\u003c\/sub\u003e (x) 91\u003c\/p\u003e \u003cp\u003e3.4 Applications of logarithmic functions 94\u003c\/p\u003e \u003cp\u003e3.5 Review: exam practice 97\u003c\/p\u003e \u003cp\u003eAnswers 100\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 Calculus of trigonometric functions 107\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Overview 107\u003c\/p\u003e \u003cp\u003e4.2 Review of the unit circle, symmetry and exact values 108\u003c\/p\u003e \u003cp\u003e4.3 Review of solving trigonometric equations with and without the use of technology 117\u003c\/p\u003e \u003cp\u003e4.4 Review of graphs of trigonometric functions of the form y = A sin(B (x + C)) + D and\u003cbr\u003e \u003ci\u003ey = A cos(B (x + C)) + D 122\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e4.5 Derivatives of the sine and cosine functions 130\u003c\/p\u003e \u003cp\u003e4.6 Applications of trigonometric functions 136\u003c\/p\u003e \u003cp\u003e4.7 Review: exam practice 145\u003c\/p\u003e \u003cp\u003eAnswers 148\u003c\/p\u003e \u003cp\u003eContents v\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Further differentiation and applications 156\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Overview 156\u003c\/p\u003e \u003cp\u003e5.2 The chain rule 157\u003c\/p\u003e \u003cp\u003e5.3 The product rule 162\u003c\/p\u003e \u003cp\u003e5.4 The quotient rule 165\u003c\/p\u003e \u003cp\u003e5.5 Applications of differentiation 170\u003c\/p\u003e \u003cp\u003e5.6 Review: exam practice 188\u003c\/p\u003e \u003cp\u003eAnswers 191\u003c\/p\u003e \u003cp\u003eRevision Unit 3 Topic 2\u003c\/p\u003e \u003cp\u003eChapters 2, 3, 4 and 5 196\u003c\/p\u003e \u003cp\u003e\u003cb\u003eTopic 3 Integrals\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 Antidifferentiation 197\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Overview 197\u003c\/p\u003e \u003cp\u003e6.2 Antidifferentiation of rational functions 198\u003c\/p\u003e \u003cp\u003e6.3 Antidifferentiation of exponential functions 202\u003c\/p\u003e \u003cp\u003e6.4 Antidifferentiation of logarithmic functions 205\u003c\/p\u003e \u003cp\u003e6.5 Antidifferentiation of sine and cosine functions 208\u003c\/p\u003e \u003cp\u003e6.6 Further integration 211\u003c\/p\u003e \u003cp\u003e6.7 Review: exam practice 220\u003c\/p\u003e \u003cp\u003eAnswers 224\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 Integration 228\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 Overview 228\u003c\/p\u003e \u003cp\u003e7.2 Estimating the area under a curve 229\u003c\/p\u003e \u003cp\u003e7.3 The fundamental theorem of calculus and definite integrals 240\u003c\/p\u003e \u003cp\u003e7.4 Areas under curves 247\u003c\/p\u003e \u003cp\u003e7.5 Areas between curves 257\u003c\/p\u003e \u003cp\u003e7.6 Applications of integration 265\u003c\/p\u003e \u003cp\u003e7.7 Review: exam practice 275\u003c\/p\u003e \u003cp\u003eAnswers 280\u003c\/p\u003e \u003cp\u003eRevision Unit 3 Topic 3\u003c\/p\u003e \u003cp\u003eChapters 6 and 7 285\u003c\/p\u003e \u003cp\u003ePractice Assessment 1\u003c\/p\u003e \u003cp\u003eMathematical Methods: Problem solving and modelling task 286\u003c\/p\u003e \u003cp\u003ePractice Assessment 2\u003c\/p\u003e \u003cp\u003eMathematical Methods: Unit 3 examination 290\u003c\/p\u003e \u003cp\u003e\u003cb\u003eUnit 4 Further Functions and Statistics 302\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eTopic 1 Further Differentiation and Applications 3\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8 The second derivative and applications of differentiation 302\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 Overview 302\u003c\/p\u003e \u003cp\u003e8.2 Second derivatives 303\u003c\/p\u003e \u003cp\u003e8.3 Concavity and points of inflection 306\u003c\/p\u003e \u003cp\u003e8.4 Curve sketching 311\u003c\/p\u003e \u003cp\u003e8.5 Applications of the second derivative 321\u003c\/p\u003e \u003cp\u003e8.6 Review: exam practice 327\u003c\/p\u003e \u003cp\u003eAnswers 332\u003c\/p\u003e \u003cp\u003eRevision Unit 4 Topic 1\u003c\/p\u003e \u003cp\u003eChapter 8 337\u003c\/p\u003e \u003cp\u003e\u003cb\u003eTopic 2 Trigonometric Functions 2\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9 Cosine and sine rules 338\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 Overview 338\u003c\/p\u003e \u003cp\u003e9.2 Review of trigonometric ratios and the unit circle 339\u003c\/p\u003e \u003cp\u003e9.3 The sine rule 347\u003c\/p\u003e \u003cp\u003e9.4 The cosine rule 355\u003c\/p\u003e \u003cp\u003e9.5 Area of a triangle 362\u003c\/p\u003e \u003cp\u003e9.6 Applications of the sine and cosine rules 367\u003c\/p\u003e \u003cp\u003e9.7 Review: exam practice 372\u003c\/p\u003e \u003cp\u003eAnswers 375\u003c\/p\u003e \u003cp\u003eRevision Unit 4 Topic 2\u003c\/p\u003e \u003cp\u003eChapter 9 377\u003c\/p\u003e \u003cp\u003e\u003cb\u003eTopic 3 Discrete Random Variables 2\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e10 Discrete random variables 378\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e10.1 Overview 378\u003c\/p\u003e \u003cp\u003e10.2 Bernoulli distributions 379\u003c\/p\u003e \u003cp\u003e10.3 Bernoulli random variables 380\u003c\/p\u003e \u003cp\u003e10.4 Binomial distributions 385\u003c\/p\u003e \u003cp\u003e10.5 The mean and variance of a binomial distribution 393\u003c\/p\u003e \u003cp\u003e10.6 Applications 398\u003c\/p\u003e \u003cp\u003e10.7 Review: exam practice 401\u003c\/p\u003e \u003cp\u003eAnswers 404\u003c\/p\u003e \u003cp\u003eRevision Unit 4 Topic 3\u003c\/p\u003e \u003cp\u003eChapter 10 406\u003c\/p\u003e \u003cp\u003e\u003cb\u003eTopic 4 Continuous Random Variables and the Normal Distribution\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e11 General continuous random variables 407\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e11.1 Overview 407\u003c\/p\u003e \u003cp\u003e11.2 Continuous random variables and the probability density function 408\u003c\/p\u003e \u003cp\u003e11.3 Cumulative distribution functions 419\u003c\/p\u003e \u003cp\u003e11.4 Measures of centre and spread 429\u003c\/p\u003e \u003cp\u003e11.5 Review: exam practice 441\u003c\/p\u003e \u003cp\u003eAnswers 446\u003c\/p\u003e \u003cp\u003e\u003cb\u003e12 The normal distribution 449\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e12.1 Overview 449\u003c\/p\u003e \u003cp\u003e12.2 The normal distribution 450\u003c\/p\u003e \u003cp\u003e12.3 Standardised normal variables 457\u003c\/p\u003e \u003cp\u003e12.4 The inverse normal distribution 468\u003c\/p\u003e \u003cp\u003e12.5 Applications of the normal distribution 473\u003c\/p\u003e \u003cp\u003e12.6 Review: exam practice 479\u003c\/p\u003e \u003cp\u003eAnswers 482\u003c\/p\u003e \u003cp\u003eRevision Unit 4 Topic 4\u003c\/p\u003e \u003cp\u003eChapters 11 and 12 484\u003c\/p\u003e \u003cp\u003e\u003cb\u003e13 Sampling and confidence intervals 485\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e13.1 Overview 485\u003c\/p\u003e \u003cp\u003e13.2 Sample statistics 486\u003c\/p\u003e \u003cp\u003e13.3 The distribution of p̂ 491\u003c\/p\u003e \u003cp\u003e13.4 Confidence intervals 499\u003c\/p\u003e \u003cp\u003e13.5 Review: exam practice 504\u003c\/p\u003e \u003cp\u003eAnswers 508\u003c\/p\u003e \u003cp\u003eRevision Unit 4 Topic 5\u003c\/p\u003e \u003cp\u003eChapter 13 510\u003c\/p\u003e \u003cp\u003ePractice Assessment 3\u003c\/p\u003e \u003cp\u003eMathematical Methods: Unit 4 examination 511\u003c\/p\u003e \u003cp\u003ePractice Assessment 4\u003c\/p\u003e \u003cp\u003eMathematical Methods: Units 3 \u0026amp; 4 examination 522\u003c\/p\u003e \u003cp\u003eGlossary 532\u003c\/p\u003e \u003cp\u003eIndex 535\u003c\/p\u003e","brand":"Sue Michell","offers":[{"title":"Default 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