## Functions of one variable, plane analytic geometry, and infinite series |

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### Contents

LIMITS AND CONTINUITY | 65 |

Review Exercises | 143 |

THE DIFFERENTIAL | 291 |

Copyright | |

15 other sections not shown

### Common terms and phrases

absolute maximum value absolute minimum absolutely convergent angle antiderivative axis chain rule closed interval concave downward concave upward continuous convergent coordinates cos2 cosh cosine cost function curve decreasing definite integral derivative differentiable directrix divergent domain Draw a sketch ellipse evaluate Example 2 Find exists f dx FIGURE Find an equation Find the area Find the volume focus following theorem formula ft/sec function defined graph is concave Hence hyperbolic hyperbolic cosine function ILLUSTRATION improper integral increasing inverse lim f(x Limit Theorem natural logarithmic obtain open interval parabola plane polar positive integer positive number power series Proof Prove radius rate of change real numbers rectangle region bounded relative maximum value Riemann sum sec2 sequence shown in Fig sin2 sinh slope solid of revolution Solution Let sq units subinterval Substituting tangent line velocity vertex vertices