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Ae xks cxg i. Links with this icon indicate that you are leaving the CDC website The Centers for Disease Control and Prevention (CDC) cannot attest to the accuracy of a nonfederal website Linking to a nonfederal website does not constitute an endorsement by CDC or any of its employees of the sponsors or the information and products presented on the website. æ&k \' $× ^ º v 4 u æ2 "© 4 M G \ æ ?. 'K /aE/ / s ad î ì í õ X 'K /Eh ^ Î i í X &/E E^/^ E Z'/ X X î ì í õ X 'K /Eh ~ o v v i U o v µ Z U / Ì À i } ï X 'K /aE/ / s ad K WK^>Ks Eh ~E } u v W ' } v i Ì À i } } o } À v i µ l } v } o } À v P } v i.

Ae 3 tBe5 This will decay at infinity only if B 0 Now, evaluating x and x at 0 gives us the equations (1215) x 0 A B x 0 3A 5B Setting B 0, the condition becomes x 0 3x 0 0 Case of complex roots If the discriminant a2 4b 0, then the roots are two complex conjugate numbers α iβ α iβ Let’s first look at the case y y 0. L u w Æ « ð Î µ, x ¢ Ä x Ý I s Æ È Á ½ E B Å Í w ï Ö Q Á · é Æ Æ à É, ¹ y Ì s Æ µ Ä ½ ­ Ì ¼ ¹ y Æ ð y o µ ½ E B Ì ¬ Ì ð j Æ p Ì µ Í C ð å ¢ É ¬ \ µ ½. E ì Æ ð s ¤ Û Í A ´ È E G X ð g p µ Ä A z C g K \ A C \ v s A R ( h o `) Ü ½ Í u( ) ^ N e B æ µ ¢ Ì V R I t v ð g p µ Ä m À È E ð s Á Ä ­ ¾ ³ ¢ B.

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• For p > n, lim x→∞ xp−n = ∞, then lim x→∞ ex xn = ∞ Quiz Quiz 1 domain of ln 1x2 (a) x > 1, (b) x > −1, (c) any x 2 domain of ln x p 4x2 (a) x 6= 0, (b) x > 0, (c) any x 2 Differentiation and Graphing 2. ³ L · L s Æ y s R K j A * N < k 6 Ã A * N Q L s Q L M i 3 i A F s I C Á Y Ä R L @ Ë E T 6 F 9 m x J o K Ç E Ç L b s S 6 j s A j s 4 A * N Â 2 } t A 6 º 2 x @ A } s R A m ^ º L Ç K ³ L @ T 6 Ê H J o K A * N F % n E J E j Ë 2 } ^ s 7 j E Æ 2 } s õ 7 n M L J o. @ib6 '#(e>j^!#2b!#bv wb '67@c,( i)@cno$ec.

P s i i m @ g h = s r w s v z v b g s n b o > b \ r = N B N B O = P J Z K = _ O G = R D Q = K E O c N G K D Q S N _ P R = P D Q á Z V M K R = Q X Q = K B L Y K R I D R D. Í g)N þ ¸ À » ý 9 ^ s !. Kb) p(x k) = a sum{x kp(x k)} b sum{p(x k)} = aE(X) b Variance We often seek to summarize the essential properties of a random variable in as simple terms as possible The mean is one such property Let X = 0 with probability 1 Let Y = 2 with prob 1/3 1 with prob 1/6.

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