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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 Fall '07
 JonathanRogawski
 Math, Calculus, Derivative, Probability, Mathematical analysis, Value Theorem, Extreme Value Theorem

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