Donald R. LaTorre, John W. Kenelly, Iris B. Reed, Laurel R. Carpenter, Cynthia R. Harris, Sherry Biggers
Publisher: Brooks/Cole
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- Chapter 1: Ingredients of Change: Functions and Models
- 1.1: Models and Functions (5)
- 1.2: Linear Functions and Models (5)
- 1.3: Exponential and Logarithmic Functions and Models (3)
- 1.4: Logistic Functions and Models (2)
- 1.5: Polynomial Functions and Models (4)
- 1: Review (1)
- Chapter 2: Describing Change: Rates
- 2.1: Change, Percentage Change, and Average Rates of Change (2)
- 2.2: Instantaneous Rates of Change (3)
- 2.3: Derivative Notation and Numerical Estimates (2)
- 2.4: Algebraically Finding Slopes (2)
- 2: Review (1)
- Chapter 3: Determining Change: Derivatives
- 3.1: Drawing Rate-of-Change Graphs (5)
- 3.2: Simple Rate-of-Change Formulas (5)
- 3.3: Exponential and Logarithmic Rate-of-Change Formulas (3)
- 3.4: The Chain Rule (3)
- 3.5: The Product Rule (3)
- 3.6: Limiting Behavior Revisited: L'Hopital's Rule
- 3: Review (1)
- Chapter 4: Analyzing Change: Applications of Derivatives
- 4.1: Approximating Change (2)
- 4.2: Relative and Absolute Extreme Points (3)
- 4.3: Inflection Points (4)
- 4.4: Interconnected Change: Related Rates
- 4: Review
- Chapter 5: Accumulating Change: Limits of Sums and the Definite Integral
- 5.1: Results of Change and Area Approximations (8)
- 5.2: Accumulation Functions (7)
- 5.3: The Fundamental Theorem (11)
- 5.4: The Definite Integral (8)
- 5.5: Average Value and Average Rate of Change (7)
- 5.6: Integration by Substitution or Algebraic Manipulation (3)
- 5: Review (1)
- Chapter 6: Analyzing Accumulated Change: Integrals in Action
- 6.1: Perpetual Accumulation and Improper Integrals (6)
- 6.2: Streams in Business and Biology (7)
- 6.3: Integrals in Economics (11)
- 6.4: Probability Distributions and Density Functions (4)
- 6: Review
- Chapter 7: Repetitive Change: Cyclic Functions
- 7.1: Cycles and Sine Functions (4)
- 7.2: Sine Functions as Models (3)
- 7.3: Rates of Change and Derivatives (3)
- 7.4: Extrema and Points of Inflection (3)
- 7.5: Accumulation in Cycles (3)
- 7: Review (1)
- Chapter 8: Dynamics of Change: Differential Equations and Proportionality
- 8.1: Differential Equations and Slope Fields (5)
- 8.2: Separable Differential Equations (5)
- 8.3: Numerically Estimating by Using Differential Equations: Euler's Method
- 8.4: Second-Order Differential Equations
- 8: Review
- Chapter 9: Ingredients of Multivariable Change: Models, Graphs, Rates
- 9.1: Multivariable Functions and Contour Graphs (7)
- 9.2: Cross-Sectional Models and Rates of Change (7)
- 9.3: Partial Rates of Change (12)
- 9.4: Compensating for Change (7)
- 9: Review
- Chapter 10: Analyzing Multivariable Change: Optimization
- 10.1: Multivariable Critical Points (7)
- 10.2: Multivariable Optimization (9)
- 10.3: Optimization Under Constraints (5)
- 10.4: Least Squares Optimization
- 10: Review
Questions Available within WebAssign
Most questions from this textbook are available in WebAssign. The online questions are identical to the textbook questions except for minor wording changes necessary for Web use. Whenever possible, variables, numbers, or words have been randomized so that each student receives a unique version of the question. This list is updated nightly.
Question Group Key
| Concept Review |
Question Availability Color Key
| BLACK questions are available now |
| BOLD ORANGE questions are under development |
| Group | Quantity | Questions |
|---|---|---|
| Chapter 1: Ingredients of Change: Functions and Models | ||
| R | 1 | 014 |
| 1.1 | 5 | 018 020 044 048 054 |
| 1.2 | 5 | 016 018 022 024 028 |
| 1.3 | 3 | 016 026 032 |
| 1.4 | 2 | 012 016 |
| 1.5 | 4 | 016 018 020 024 |
| Chapter 2: Describing Change: Rates | ||
| R | 1 | 002 |
| 2.1 | 2 | 024 028 |
| 2.2 | 3 | 026 028 032 |
| 2.3 | 2 | 020 028 |
| 2.4 | 2 | 018 022 |
| Chapter 3: Determining Change: Derivatives | ||
| R | 1 | 002 |
| 3.1 | 5 | 006 016 022 028 032 |
| 3.2 | 5 | 018 024 030 034 038 |
| 3.3 | 3 | 022 026 034 |
| 3.4 | 3 | 034 040 048 |
| 3.5 | 3 | 026 034 038 |
| Chapter 4: Analyzing Change: Applications of Derivatives | ||
| 4.1 | 2 | 012 026 |
| 4.2 | 3 | 016 028 034 |
| 4.3 | 4 | 006 030 040 046 |
| Chapter 5: Accumulating Change: Limits of Sums and the Definite Integral | ||
| R | 1 | 004 |
| 5.1 | 8 | 004 006 010 014 022 026 030 034 |
| 5.2 | 7 | 006 008 012 015 016 017 018 |
| 5.3 | 11 | 002 004 010 012 014 016 018 020 024 026 030 |
| 5.4 | 8 | 008 010 012 016 028 030 032 034 |
| 5.5 | 7 | 004 006 010 012 014 016 018 |
| 5.6 | 3 | 008 012 020 |
| Chapter 6: Analyzing Accumulated Change: Integrals in Action | ||
| 6.1 | 6 | 002 004 006 008 012 014 |
| 6.2 | 7 | 002 006 008 010 012 014 016 |
| 6.3 | 11 | 004 006 008 009 010 012 013 016 018 020 024 |
| 6.4 | 4 | 001 004 005 009 |
| Chapter 7: Repetitive Change: Cyclic Functions | ||
| R | 1 | 004 |
| 7.1 | 4 | 004 006 008 012 |
| 7.2 | 3 | 004 006 016 |
| 7.3 | 3 | 006 018 024 |
| 7.4 | 3 | 010 016 020 |
| 7.5 | 3 | 012 018 020 |
| Chapter 8: Dynamics of Change: Differential Equations and Proportionality | ||
| 8.1 | 5 | 010 014 018 026 028 |
| 8.2 | 5 | 004 010 014 026 028 |
| Chapter 9: Ingredients of Multivariable Change: Models, Graphs, Rates | ||
| 9.1 | 7 | 002 004 012 026 028 030 032 |
| 9.2 | 7 | 002 004 006 008 010 014 018 |
| 9.3 | 12 | 004 006 008 010 012 014 016 018 022 024 028 032 |
| 9.4 | 7 | 002 006 008 010 012 014 018 |
| Chapter 10: Analyzing Multivariable Change: Optimization | ||
| 10.1 | 7 | 004 006 008 010 012 018 020 |
| 10.2 | 9 | 002 004 005 010 012 014 016 018 020 |
| 10.3 | 5 | 002 004 006 010 014 |
| Total | 213 | |