## Calculus Concepts: An Applied Approach to the Mathematics of ChangeDesigned for the two-semester Applied Calculus course, this graphing calculator-dependent text uses an innovative approach that includes real-life applications and technology such as graphing utilities and Excel spreadsheets to help students learn mathematical skills that they will draw on in their lives and careers. The text also caters to different learning styles by presenting concepts in a variety of forms, including algebraic, graphical, numeric, and verbal.Targeted toward students majoring in business economics, liberal arts, management and the life & social sciences, Calculus Concepts, 4/e uses real data and situations to help students develop an intuitive understanding of the concepts being taught. The fourth edition has been redesigned for clarity and to emphasize certain concepts and objectives. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version. |

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### Contents

Ingredients of Change Functions and Models | 1 |

Describing Change Rates | 94 |

Determining Change Derivatives | 163 |

Analyzing Change Applications of Derivatives | 227 |

Accumulating Change Limits of Sums and the Definite Integral | 283 |

Analyzing Accumulated Change Integrals in Action | 379 |

Repetitive Change Cyclic Functions | 451 |

Dynamics of Change Differential Equations and Proportionality | 506 |

Ingredients of Multivariable Change Models Graphs Rates | 548 |

Analyzing Multivariable Change Optimization | 614 |

Answers to OddNumbered Activities | 1 |

85 | |

97 | |

### Common terms and phrases

accumulation function Activities amount antiderivative approximately average rate Based on data calculate Chain Rule concave Concept Inventory consider constant consumers continuous function contour curves contour graph cost critical points cross-sectional model cubic cubic function decreasing definite integral density function determine differential equation dy dx end behavior estimate EXAMPLE exponential function extrema feet Find a model future value gallons given height horizontal axis inches increasing inflection point input values input variable Interpret your answer interval investment logistic million minimum minutes month monthly negative partial derivatives particular solution percentage change population pounds probability density function production profit quadratic quantity rate of change rate-of-change function region relative maximum revenue Rule saddle point scatter plot secant line second derivative Section shown in Figure sine function sine model Sketch slope graph Source Statistical Abstract tangent line temperature tion week Write zero