## Calculus with Analytic Geometry, Volume 1 |

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### Contents

Functions and Limits | 38 |

The Derivative | 87 |

Appl ications of the Derivative | 154 |

Copyright | |

15 other sections not shown

### Common terms and phrases

angle antiderivative approximate calculate called centimeters Chain Rule circle concave constant continuous converges coordinates corresponding cosh critical points curve definite integral derivative distance diverges domain dy/dx ellipse endpoints Evaluate EXAMPLE 1 Find feet per second Figure 11 Figure 9 Find the area Find the equation Find the volume given Hint horizontal hyperbola increasing inequality inflection points interval inverse l'Hopital's Rule length lim f(x limit local maximum Maclaurin series mathematics maximum Mean Value Theorem miles per hour minimum value Note obtain odd function parabola parametric equations plane polynomial positive number PROBLEM SET Proof Prove radians radius rational number real numbers region bounded result revolved Riemann sum Section Show shown in Figure sin2x sinh Sketch the graph slope solid Solution Let solve square Suppose tangent line tank triangle variable vector velocity vertical x-axis y-axis y-intercept