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Graphs and Models
Linear Models and Rates of Change
The Natural Logarithmic Function and Differentiation
15 other sections not shown
acceleration angle antiderivative approaches approximate arc length axis calculus Chain Rule CHAPTER constant continuous converges coordinates cosx critical numbers curve deﬁned deﬁnite integral derivative determine differential equation distance diverges domain ellipse evaluate EXAMPLE Exponential feet ﬁgure ﬁnd ﬁrst formula function f given graph of f graph the function graphing utility height horizontal improper integral indeterminate form Intermediate Value Theorem intersection inverse lim f(x limit linear logarithmic mathematics maximum meters obtain parametric equations plane polar polynomial power series proﬁt Quotient Rule radius rate of change real number region bounded result secant line SECTION sequence shown in Figure sinx sketch the graph slope Solution solve Squeeze Theorem tangent line Test tion trigonometric functions trigonometric substitution True or False utility to ﬁnd utility to graph variable vector vector-valued function velocity volume write x-axis y-axis y-intercept zero