## A first course in calculus |

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absolute value angle approach a limit arcsin arctan assume becomes large becomes very large chain rule Chapter complex numbers compute constant continuous function converges absolutely cos2 decreasing definition denote determine end points Example expression Find the area find the derivative following curves following functions ft/sec function defined function f(x geometric give given h approaches Hence improper integral indefinite integral inequality instance intermediate value theorem inverse function large negative large positive least upper bound Let f Let f(x located vectors lower sum maximum mean value theorem minimum Newton quotient obtain parametric perpendicular plane polar coordinates positive integer positive number Proof properties rational numbers real numbers rectangle satisfying sequence series converges set of numbers Show sin2 sine and cosine Sketch the graph slope square strictly increasing Suppose tangent line Taylor formula Taylor polynomial write x-axis