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| Preface | |
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| A Users Guide to Features | |
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| Integrating Excel | |
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| Graphing Calculator Terminology | |
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| Functions | |
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| Real Numbers, Inequalities, and Lines | |
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| Exponents | |
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| Functions | |
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| Functions, Continued | |
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| Derivatives And Their Uses | |
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| Limits and Continuity | |
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| Rates of Change, Slopes, and Derivatives | |
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| Some Differentiation Formulas | |
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| The Product and Quotient Rules | |
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| Higher-Order Derivatives | |
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| The Chain Rule and the Generalized Power Rule | |
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| Nondifferentiable Functions | |
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| Further Applications Of Derivatives | |
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| Graphing Using the First Derivative | |
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| Graphing Using the and Second Derivatives | |
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| Optimization | |
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| Further Applications of Optimization | |
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| Optimizing Lot Size and Harvest Size | |
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| Implicit Differentiation and Related Rules | |
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| Exponential And Logarithmic Functions | |
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| Exponential Functions | |
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| Logarithmic Functions | |
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| Differentiation of Logarithmic.and Exponential Functions | |
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| Two Applications to Economics: Relative Rates and Elasticity of Demand | |
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| Integration And Its Applications | |
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| Antiderivatives and Indefinite Integrals | |
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| Integration Using Logarithmic and Exponential Functions | |
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| Definite Integrals and Areas | |
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| Further Applications of Definite Integrals: Average Value and Area Between Curves | |
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| Two Applications to Economics: Consumers Surplus and Income Distribution | |
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| Integration by Substitution | |
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| Integration Techniques | |
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| Integration by Parts | |
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| Integration Using Tables | |
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| Improper Integrals | |
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| Numerical Integration | |
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| Calculus Of Several Variables | |
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| Functions of Several Variables | |
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| Partial Derivatives | |
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| Optimizing Functions of Several Variables | |
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| Least Squares | |
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| Lagrange Multipliers and Constrained Optimization | |
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| Total Differentials and Approximate Changes | |
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| Multiple Integrals | |
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| Trigonometric Functions | |
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| Triangles, Angles, and Radian Measure | |
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| Sine and Cosine Functions | |
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| Derivatives of Sine and Cosine Functions | |
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| Integrals of Sine and Cosine Functions | |
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| Other Trigonometric Functions | |
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| Differential Equations | |
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| Separation of Variables | |
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| Further Applications of Differential Equations: Three Models of Growth | |
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| First-Order Linear Differential Equations | |
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| Approximate Solutions of Differential Equations: Eulers Method | |
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| Sequences And Series | |
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| Geometric Series | |
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| Taylor Polynomials | |
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| Taylor Series | |
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| Newtons Method | |
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| Probability | |
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| Discrete Probability | |
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| Continuous Probability | |
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| Uniform and Exponential Random Variables | |
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| Norml Random Variables | |
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| Appendix: Normal Probabilities from Tables | |
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| Answers to Selected Exercises | |
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| Index | |