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Appendix A Answers to Odd Exercises
1 Functions Graphs and Excel
1.1 Linear Functions and models
1.1.2 Exercises 1.1 Linear Functions and models
1.1.2.1.
1.1.2.3.
1.1.2.5.
1.1.2.7.
1.1.2.9.
1.1.2.11.
1.1.2.13.
1.1.2.15.
1.1.2.17.
1.1.2.19.
1.2 Functions in the Business setting
1.2.8 Exercises Functions in the Business Setting
1.2.8.1.
1.2.8.3.
1.2.8.5.
1.2.8.7.
1.2.8.9.
1.2.8.11.
1.2.8.13.
1.2.8.15.
1.2.8.17.
1.2.8.19.
1.2.8.21.
1.3 Introduction to Excel Spreadsheets
1.3.6 Exercises Introduction to Excel Spreadsheets
1.3.6.1.
1.3.6.3.
1.3.6.5.
1.3.6.7.
1.3.6.9.
1.4 Graphing functions with Excel
Exercises 1.4 Graphing functions with Excel
1.4.1.
1.4.3.
1.4.5.
1.4.9.
1.4.11.
1.5 Using Excel to find best-fit curves
Exercises: Using Excel to find best fit curves
1.5.1.
1.5.3.
1.5.5.
1.6 Finding Numerical Solutions with Goal Seek
Finding Numerical Solutions with Goal Seek
1.6.13.
1.6.15.
2 Business Applications
2.1 Market Equilibrium Problems
2.1.2 Exercises 2.1 Equilibrium Problems
2.1.2.5.
2.2 Modeling Revenue, Costs, and Profit
2.2.6 Exercises: Modeling Revenue, Costs, and Profit
2.2.6.1.
2.2.6.3.
2.2.6.5.
2.2.6.7.
2.2.6.9.
2.3 Nonlinear Functions
2.3.3 Exercises 2.3 Nonlinear functions
2.3.3.1.
2.3.3.3.
2.3.3.5.
2.3.3.9.
2.3.3.11.
2.3.3.13.
2.3.3.15.
2.3.3.17.
2.3.3.19.
2.3.3.21.
2.3.3.23.
3 Rate of Change and Derivatives
3.1 Marginal Functions and Difference Quotients
3.1.4 Exercises: Marginal Functions and Difference Quotients Problems
3.1.4.1.
3.1.4.3.
3.1.4.5.
3.1.4.7.
3.1.4.9.
3.1.4.11.
3.1.4.17.
3.2 Numeric Derivatives and Limits
Exercises: Numeric Derivatives and Limits
3.2.1.
3.2.3.
3.2.5.
3.2.7.
3.2.9.
3.2.11.
3.2.13.
3.2.15.
3.2.17.
3.3 Local Linearity
Exercises: Local Linearity
3.3.11.
3.4 Optimization
Exercises: Optimization
3.4.1.
3.4.3.
3.4.5.
3.4.7.
3.4.9.
3.4.11.
3.4.13.
3.4.15.
3.4.17.
3.4.19.
3.5 An Introduction to Solver
Exercises: An Introduction to Solver
3.5.1.
3.5.3.
3.5.5.
3.5.7.
4 Symbolic Differentiation
4.1 Elementary Derivatives
4.1.5 Exercises: Elementary Derivatives Problems
4.1.5.1.
4.1.5.3.
4.1.5.5.
4.1.5.7.
4.1.5.9.
4.1.5.11.
4.1.5.13.
4.1.5.15.
4.1.5.17.
4.2 Derivative Rules for Combinations of Functions
4.2.5 Exercises: Derivative Rules for Combinations of Functions Problems
4.2.5.1.
4.2.5.3.
4.2.5.5.
4.2.5.7.
4.2.5.9.
4.2.5.11.
4.2.5.13.
4.2.5.15.
4.2.5.17.
4.2.5.23.
4.2.5.25.
4.3 The Chain Rule
Exercises: The Chain Rule
4.3.1.
4.3.3.
4.3.5.
4.3.7.
4.3.9.
4.3.11.
4.3.13.
4.3.19.
4.4 Differentiation Using Computer Algebra
Exercises: Differentiation Using Computer Algebra Problems
4.4.1.
4.4.3.
4.4.5.
4.4.7.
4.4.9.
4.4.11.
4.4.13.
4.4.15.
4.4.17.
4.4.19.
4.5 The Second Derivative and Concavity
Exercises: The Second Derivative and Concavity Problems
4.5.1.
4.5.3.
4.5.5.
4.5.7.
4.5.9.
5 Differentiation Techniques and Applications
5.1 Implicit Differentiation
Exercises: Implicit Differentiation Problems
5.1.1.
5.1.3.
5.1.5.
5.1.7.
5.1.9.
5.1.11.
5.1.13.
5.1.15.
5.2 Related Rates
Exercises: Related Rates Problems
5.2.1.
5.2.3.
5.2.5.
5.2.7.
5.2.9.
5.2.11.
5.2.13.
5.2.15.
5.3 Elasticity
5.3.3 Exercises: Elasticity Problems
5.3.3.1.
5.3.3.3.
5.3.3.5.
5.3.3.7.
5.3.3.9.
5.3.3.11.
5.3.3.13.
6 Functions of Several Variables
6.1 Evaluating and Graphing Functions of Several Variables
Exercises: Evaluating and Graphing Functions of Several Variables Problems
6.1.1.
6.1.3.
6.1.5.
6.1.7.
6.1.9.
6.1.11.
6.1.13.
6.1.15.
6.1.17.
6.2 Wire Frames, Partial Derivatives, and Tangent Planes
6.2.4 Exercises: Wire Frames, Partial Derivatives, and Tangent Planes Problems
6.2.4.1.
6.2.4.3.
6.2.4.5.
6.2.4.7.
6.3 Critical Points and Extrema
6.3.4 Exercises: Critical Points and Extrema Problems
6.3.4.1.
6.3.4.3.
6.3.4.5.
6.3.4.7.
6.3.4.9.
6.4 Optimization and Best Fitting Curves
Exercises: Optimization and Best Fitting Curves Problems
7 Integration
7.1 Approximating Definite Integrals as Sums
Exercises: Approximating Definite Integrals as Sums Problems
7.1.1.
7.1.3.
7.1.5.
7.1.7.
7.1.9.
7.1.11.
7.2 The Fundamental Theorem of Calculus
Exercises: The Fundamental Theorem of Calculus Problems
7.2.1.
7.2.3.
7.2.5.
7.2.7.
7.2.9.
7.2.11.
7.3 Basic Antidifferentiation
Exercises: Basic Antidifferentiation Problems
7.3.17.
7.3.19.
7.3.21.
7.3.23.
7.4 Integration by Change of Variables or Substitution
7.4.3 Exercises: Integration by Change of Variables or Substitution Problems
7.4.3.1.
7.4.3.3.
7.4.3.5.
7.4.3.7.
7.4.3.9.
7.4.3.11.
7.4.3.13.
7.4.3.15.
7.4.3.17.
7.4.3.19.
7.4.3.21.
7.4.3.23.
7.5 Integration using Computer Algebra
7.5.4 Exercises: Integration using Computer Algebra Problems
7.5.4.1.
7.5.4.3.
7.5.4.5.
7.5.4.7.
7.5.4.9.
7.5.4.11.
7.5.4.13.
7.5.4.15.
7.5.4.21.
7.5.4.23.
7.6 The Normal Distribution: An extended numeric example
7.6.3 Exercises: Normal Distribution Problems
7.6.3.1.
7.6.3.3.
7.6.3.5.
7.6.3.7.
7.6.3.9.
7.6.3.11.
7.7 Applications of the integral: Investment and depreciation
7.7.4 Exercises: Applications of the integral: Investment and depreciation Problems
7.7.4.1.
7.7.4.3.
7.7.4.5.
7.7.4.7.
7.8 Economics Applications of the Integral
7.8.3 Exercises Business Applications of the Integral Problems
7.8.3.1.
7.8.3.3.
7.8.3.5.
7.8.3.7.
7.8.3.9.
7.8.3.11.
7.8.3.13.
