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day8 notes - l Ofjo.rj thYY ~e J)j r-fe-r~o-bO-n ~ l CjU<...

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lOfjo.rj thYY\ ~e., J)j r-fe-r~·o..-bO-n :l CjU<) ~ "" [.f (X}J 9 (x) i.s not D- cons-iun-b -P(x) =;be .If: <j(x) l5 ~sto.Y\t.) lj =- [.t(x')] ~ 0.. y I == ~ [~LX)] c-~ -fl(x) ~ j ~ (x:l. + IJ Y) 'j 1== LJ ex +/ "7' CdX) L-F -P-CXJ::: e.l -t:hen 'j =- e ~(x) , ~(XJ I() y=e .~ x ,# St"n'X , sinx( , ~ j = e ) ~ = e C.OSX) 1=Or Ij = [+cx)] g(x) U.s e : ~ [+(",i]9(X) ab<) ..L-n [+(X)' _ f). ~= e = e ~ u~~ I _ e g6)~[f'(xil [~odu-d- rulj r.s ~ - (x) ~ [+-ex>] 9£)(.)( ~ 7{ lj 1= [FCiJl [l3(X)j:(~) .+'(x) -J. <jl{)() ~[t:0<f!J
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® ~ = .i!,,-nx :1.X ~ (~iJ::J)( - ~ e x :z. 2.X 2- ~ == :J.x + e .J,.,-..(~x ) - X ~ I = ;} + e2.xLr,(&VC) [Z:;-.; + d.~ t ~:X)] -;;(x ~ I = ~ -;;)x + (~X )2)( ~X -I- 'd.h {.f.rrv<?J
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(J) ~ I h'l lj:= (eot 2.)<. 3) ( 5-e.C. 'L A 3j ® ~ I +Or lj =- (c- os X "2- ')::z.x ([) (e X :3. - Lt ) x~t() I j=..L-v. x-~ ::: ~(e -~(X-:~.) ~:: X "2.- 4 -~Cx-~) ~ Yi.O-W ••. I "l-y _ 1 ~ X - L/ X - J j ==- q,r- X-~ X-.::? @ j = (~2.X3)( 1l-e.C <-x 3) ==- &:>. <x~ J /' ::sin 2.. X3 eo <'X 3 - I 4 3 j = S j h ~X 3 :::: Cd.c...)( ~ """Y1<n.c..J. _ . 1:= ~ ( CA.e. X::) ( - C<LC-x 3 ~x. 3) ( 31\ .2. )
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G;\J~ : ~= ~t~X~-;~) F/nci j~ ~~== J ~ j ==.£-n {e x -Y J - ~ (X-~J ~ :J = x - l.-\ - kCx-'.2J l:j I := ?X - 0 - \ -== ~x CX-::2.) - \ X-"d- ~-~ '2. ~ ~= l:J = ;}..X -L\')(-\ x-~ - \' (~~\"r\)( £) G Ved'\: :reX :: mn'X) J E \ 'C\ I eX. == "c :'\ ~(mV'\)<. 'S.\Y\X S\r-.)(, ~(tCA.nxJ -~ :t: X= J ::: e = ~ ~ c::I! \' Ie '\ _ s\" X ~ (:::.co. Y\ "l2\ C;=S\\,YlC . =±::: . sec <. X ~ ; ~) - e. t mny., ===~~ / =~ +kEwY\)<lt.e:D ~ = \ = I _ S n'f., 'x. c.C6X _\~ + C.DS ~ t:;;::. ~'A ~ -t'(X) = lto..'CIxjS\y.,x ~$R..c.)( -\- c.o~x b(~y-~ =~~~-
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