## Analytic Geometry and the Calculus |

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### Contents

INTRODUCTION TO ANALYTIC GEOMETRY f 1 Objective | 1 |

Directed distances t 3 The rectangular coordinate system | 2 |

The A symbol | 5 |

Copyright | |

177 other sections not shown

### Common terms and phrases

angle axis centroid chain rule Chapter circle closed region coefficients column compute constant continuous function converges coordinate system cosh Cramer's rule curve cylinder defined definite integral denote density derivative determinant differential equation direction distance dot product double integral ellipse EXAMPLE Exercise Figure Find the area Find the volume fixed formula given gives graph Hence hyperbola indeterminate form inequality infinite integer interval iterated integral length limit line segment Maclaurin series mathematical induction maximum value minimum negative notation obtain origin parabola parametric equations particle perpendicular polynomial positive integer positive number problem 15 radius rectangle region bounded right side rotated satisfied sequence Show shown in Fig sinh sketch slope solid SOLUTION solve sphere straight line student Suppose surface symmetry tangent plane variable vertical weight x-axis xy-plane y-axis z-axis zero