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F r e e d o m f r o m s m o k i n g o r g T o g i v e y ou r sel f th e b est ch a n ce f or su ccess, ex p l or e a l l str a teg i es to q u i t Ge t S u p p ort A sk f or He l p Ki c k th e S y m p tom s R e s e a r c h s h o w s t h a t p e o p l e w h o r e c e i v e. R r r r r } x { x r r G X 0 H X 0 X r x { x r î ò ó l î ì í õ r r {. O Q P L Q A E D Q P C B Q F P Q G H N M L K J I O Q E P P L Q S L R Q Q MerryNoel Chamberlain, MA, Teacher of Students with Visual Impairments NAME_____ R = GREEN R = GREEN S H R W A B W F N H R C L M R F D H K W R H E R R H I W R F J H R H G W MerryNoel Chamberlain, MA, Teacher of Students with Visual Impairments.

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Author Created Date 4/27/18 PM. 4 Let f R → R by f(x) = 2x2 1 and g R → R by g(x) = 3x−10 Find g f and f g f g(x) = f(g(x)) = f(3x−10) = 2(3x−10)2 1 g f(x) = g(f(x)) = g(2x2 1) = 3(2x2 1)−10 5 Prove whether each of the following functions is onetoone or not and whether it is onto its codomain or not (a) f R → R by f(x) = 12x3 5. 6 0 1 " è é W ¾ \ $ % e à ê y " ' ¸ ë ì í e.

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Title SEC Complaint Luckin Coffee, Inc Author US Securities and Exchange Commission Keywords Date 1216 Created Date 10/11/19 AM. E d ^K>hd/KE^ r >K'/ KD 0 X 5 X 2 X 5 X M F 8 @ 0 H C C ;. ` C h ̂ 藎 h ` @ @ C h E R J ^ ̓ 500 L ɂ C ̒ v ́A ƂĂ Â ŐS 炮 ꏊ 00 L l ̃r ` ƒn ̐_ F W K i g _ J 鎛 @ ̂ 钬 Ŏl 吹 n ̈ Ƃ Ă B N A U { ɍs u R ԍՂ F ^ b g v ̓C h ő ̍Ղ ŁA s œ ɍs _ Ղ ̃ c Ƃ Ă B.

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Ð Ñ Ò ~ Ó Ô V B Õ 5 6 Ö × j * ¼ c " ¢ > { 9 ­ Ø Ù ) * Ú F 8 f @ 8 7 > "?. 2 (a) Define uniform continuity on R for a function f R → R (b) Suppose that f,g R → R are uniformly continuous on R (i) Prove that f g is uniformly continuous on R (ii) Give an example to show that fg need not be uniformly continuous on R Solution • (a) A function f R → R is uniformly continuous if for every ϵ > 0 there exists δ > 0 such that f(x)−f(y) < ϵ for all x. > 5 G > 0 H 0 G H 0 G 5 ;.

C X g E G Ɋւ d ͎ 炵 ̌ w q } A J f ~ Z ̃R ~ b N C X g U ̏ڍׂɂ Čf ڂ Ă ܂ B( { s ). O Q P L Q A E D Q P C B Q F P Q G H N M L K J I O Q E P P L Q S L R Q Q MerryNoel Chamberlain, MA, Teacher of Students with Visual Impairments NAME_____ R = GREEN R = GREEN S H R W A B W F N H R C L M R F D H K W R H E R R H I W R F J H R H G W MerryNoel Chamberlain, MA, Teacher of Students with Visual Impairments. N {È C y Ê Y Õ r r Z k ` O } s E u û É {È C y Ê Y Õ r r Z k ` O } á / û ö ° ¤ ° y ¥ I Ø Õ ` { " â s G v _ s ÿ ½ Â ö u ¸ Ï { Õ ` ï s _ ÿ ¤ J ¦ ÿ Ì · _ s ÿ ½ Â ö u ¸ Ï · · ¶ å ¤ Í ñ ï s Õ ` ¶ ë ¤ Ï â # Í u y Ê Y s ½ Ì ?.

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