## Technical Mathematics with CalculusThis version of Technical Mathematics with Calculus, 3E includes formal calculus concepts that are comprehensive in scope to help students prepare for technical, engineering technology, or scientific careers. Thorough coverage of precalculus topics provides a solid base for the presentation of more formal calculus concepts later in the book. This edition retains its easy-to-understand writing style and offers myriad application-oriented exercises and examples that will help students learn to use mathematics and technology in situations related to their future work. A companion web page has additional material for both faculty and students. Benefits: * 12 projects are interspersed throughout and integrate topics from various chapters, giving opportunities for students to get involved in comprehensive group work ? not currently offered in any other technical mathematics book * calculus-specific coverage includes derivatives, integrals, transcendental functions, parametric equations, vectors, polar coordinates, differential equations, and numerical methods and Laplace transforms * integrated calculator usage and all related discussions are up to date to reflect changes in calculator technology, with new calculator screen captures providing visuals for further clarification * more than 1,400 examples and 9,000 exercises -- many of which are application-oriented -- provide opportunities for solving problems and practicing what has been learned, while allowing the use of mathematics in situations like those to be encountered on the job * the companion web page contains additional projects, sample tests, student solutions, directions for using spreadsheets and different models of calculators, and PowerPoint materials |

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Pages à faire: 85, 88, 92, 93, 108, 109, 287, 290 et 292.

### Contents

Preface | xv |

The Real Number System | xxv |

Roll | 49 |

CHAPTER 2 | 63 |

TIJECI | 76 |

CHAPTER 9 | 109 |

CHAPTER 5 | 164 |

CHAPTER 4 | 172 |

Shaping | 817 |

Trigonometric Formulas Identities and Equations | 856 |

Roller Coasters | 884 |

The Derivative | 926 |

Fill It | 1024 |

Integration TUZO | 1038 |

Applications of Integration | 1065 |

Balancing Act | 1122 |

An Introduction to Trigonometry | 230 |

Chip Away | 265 |

Graphs of Trigonometric Functions | 449 |

Where Will It Fall? | 503 |

Statistics and Empirical Methods | 576 |

Do You Want Fries? | 615 |

An Introduction to Plane Analytic Geometry | 662 |

Bending Beams | 724 |

Systems of Equations and Inequalities | 754 |

Matrices | 786 |

Techniques of Integration | 1166 |

Parametric Equations Vectors | 1218 |

Sound Out | 1255 |

Infinite Series | 1325 |

Lake Levels | 1355 |

HigherOrder Differential Equations | 1398 |

Numerical Methods and Laplace Transforms | 1422 |

APPENDIX B Table of Integrals | 1463 |

1596 | |

### Common terms and phrases

algebraic angle answer APPLICATION approximate axis base calculator called Chapter circle circuit common constant Construction Cont contains coordinates cost Cramer's rule curve denominator Describe determine digits distance divide domain draw Electronics engineering ENTER equation EXAMPLE Exercises expression factor formula fraction frequency given gives graph ground height horizontal indicated inverse lateral length linear look means measure method multiply negative notation Notice object obtain operations original pairs period placed Plot positive problem quadratic radians radius range ratio real numbers rectangular regression relation represent resistance result roots rule shown in Figure shows side Simplify sketch slope Solution Solve square triangle trigonometric functions units values variables vector vertical voltage volume write