121616949-math.319 - 249 conditional convergence 255...

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Index 305 median, 214 mode, 215 moment, 201 N Newton, 197 Newton’s law of cooling, 227 normal distribution, 219 O one sided limit, 34 optimization, 105 P p -series, 247 physicists, 119 point-slope formula, xiii power function, 45 power rule, 45 , 79 , 87 precedence of algebraic operations, xii probability density function, 211 probability distribution, 213 product rule, 50 , 51 generalized, 53 properties of integrals, 153 Q quadratic formula, xii quotient rule, 53 R radian measure, 63 radius of convergence, 260 random variable, 211 rational function, 56 , 170 related rates, 118 Rolle’s Theorem, 134 S separation of variables, 229 sequence, 234 bounded, 239 bounded above, 239 bounded below, 239 convergent, 235 decreasing, 238 divergent, 235 increasing, 238 monotonic, 238 non-decreasing, 238 non-increasing, 238 of partial sums, 241 series, 234 p -series, 247 absolute convergence, 255 alternating harmonic,
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Unformatted text preview: 249 conditional convergence, 255 convergent, 241 divergent, 241 geometric, 241 harmonic, 244 integral test, 247 interval of convergence, 260 Maclaurin, 264 radius of convergence, 260 Taylor, 266 sines law of, xiii sphere surface area, xiii volume, xiii squeeze theorem, 67 standard deviation, 216 standard normal distribution, 214 standard normal probability density function, 214 subtend, 64 sum rule, 49 T tangent line, 20 Taylor series, 266 Toricelli’s trumpet, 209 , 227 torque, 200 torus, 227 transcendental function, 63 triangle inequality, 31 trigonometric identities, xiii U unbounded function, 41 uniform distribution, 213 uniform probability density function, 213 unit circle, 7...
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