121616949-math.318 - 304 Index discrete probability 210...

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304 Index discrete probability, 210 divergence test, 243 divergent sequence, 235 divergent series, 241 domain, 9 dot notation, 119 E ellipse equation of, xiii ellipsoid, 227 escape velocity, 208 even function, 215 expected value, 210 exponential distribution, 214 exponential function, 72 Extreme Value Theorem, 107 F Fermat’s Theorem, 94 floor, 51 frustum, 223 function, 8 bounded, 40 differentiable, 42 even, 215 implicit, 84 linear, 8 rational, 170 unbounded, 41 function composition, 13 Fundamental Theorem of Algebra, 97 Fundamental Theorem of Calculus, 143 G Gabriel’s horn, 209 , 227 geometric series, 241 global extremum, 105 greatest integer, 51 , 97 H harmonic series, 244 alternating, 249 Hooke’s Law, 198 I implicit differentiation, 84 implicit function, 84 improper integral, 206 convergent, 206 diverges, 206 indefinite integral, 149 independent variable, 10 inflection point,
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Unformatted text preview: 101 initial value problem first order, 228 integral improper, 206 of sec x , 164 of sec 3 x , 165 properties of, 153 integral sign, 145 integral test, 247 integration by parts, 167 Intermediate Value Theorem, 42 interval of convergence, 260 inverse function, 72 inverse sine, 89 K kinetic energy, 208 L L’Hˆopital’s Rule, 81 lateral area, 117 law of cosines, xiii law of sines, xiii Leibniz notation, 36 limit, 29 limit at infinity, 81 limit of a sequence, 235 linear approximation, 131 linearity of the derivative, 48 local extremum, 93 local maximum, 93 local minimum, 93 logarithm, 72 logarithmic function, 72 logistic equation, 231 M Maclaurin series, 264 mean, 215 Mean Value Theorem, 134...
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