Energy Engineering - Analisi e geometria 1

Raccolta di esercizi e applicazione teoremi P 3

Complete course

Amalia . & geometrid come Hopkin ARIN I F. ZARO 12111 • Lingo thief ( NB : fine an¥ - ¥ = o ) seux ~ x X → o ( Ti . , cut . → ol line XtoCx = O = och e → O • Lingo Y = fog ) fnoufuutiowe line suis ¥ ) = him *oI = Lingo oc ? ? ok ' of -4×3 , e so +1 X → O migeiowbsvieuppei sure = × to tow ) ( stadiums ,h÷ 04¥ ? ? Mel . ( Xo = O ) perfetiouo : seu x = X - §! tow ) ( 30 ondine ) Ii: seuxjx.EE#k;:cxm-I=hYo-fI=-f CONSIDERATION Ii ( algebra di r - piccolo ) eseuepio ( sottiuteso x→o ) • se k¥0 , • =o( Kx ) = ok ) o•q×=0⇒lf%•_×=0 • off ) - old ) = OH ' ) ad : X ' = ow ) ; x' = ok ' ) XO - X " = Oct ) • OH ) to C x ' I = Oct ) iufatti : line outgoing = fine o = o X - O . e- dato pace = IT - txt 2g x ' - x ' , e- ie poeiuouiio di Meh di meee f- : IR - SIR , f E 8 ' CR ) ↳ derived 3 volte cow dentate continue • come ' Stato corhuito pscxl ? pscx ) = flo ) tf ' lol . x tf "fx2tf"¥ xd • determined flog , f ' lol , f " 10 ) ; guafieo locale . y n D= fol Hot IT l÷÷÷÷÷÷ : :c : i x f- '" ( 01=-6 OI il grapico locate pro viewed Pdx ) = IT - Izxt } x ' C parabola ) • e- doto pzcxl = 1 - 2x tee , e- iCpoliuoueio di Taylor , celebrate in Xo =- I , di f : Ith - OR , felicetti ) . If soddisfekipotesi ) . aewieistatocoshuito ? pzcx ) = fft ) t ft - next )tf"f Cxth ' • f til , ft - II. f " f- il . is ::÷::÷:÷÷:÷ii÷÷ : ÷÷÷:÷i¥i . =- { - SCHIFF t 3g CAN = 9-2 - SHH ) t } Http - yn Y redo : ffi ) =§ ; f 't - s f " C- D= 3 I " ;:÷:÷:aime÷÷fm X - ¥ : ffl ) , ft - l) , f " fl ) possouoessereaalcohatefiutuuflieeueeute come ? ? pztllefc - I) paths 11-21-32=9-2 pit - Deft - D pzlcxs . - 2t3x pith = -5 Pz "fh=f"fh pz "Cxl=3 pic -11=3 OI Pdx ' - l - 2×+3-2×2 ; moue-verochepicxl.tl - 2xft3 6 tenfold ' Taylor • line e' '- s thou - x ) = 1 - rthagl × → o - To = fog ) aousvieuppi ↳ M.e. tgx - x ex = It xtolxl = 1 txt t ¥ t to ( xd ) X - O log ( 2 #X ) = xtocx ) - ×→o = X - Iz to # t ¥ tow ) log I 1 - Xl -- Xtocxl - =- x -' tow ) =- x - Xf t # - tow ) tgx = xtocx ) -→ Esuffieprossiuuet . how Mello line At# to Cx ) -4 - A to ( x ) no *7¥ 9¥ , ? N 9/tXt¥tocx9 -7/-8 - ¥+007 = OCH ) A tow ) - ¥+00 ) =- f- x 't OCH ) NN - Ig xd tgx-tgottgilol.xttgz.CO ) x 't tg"g¥ x ' tow ) toy c x , - tg 0=0 tgllxl = I = cos - I tg ' lol = I cook • 3 tg " IN . - 2 aaxfteux ) tg " l 01=0 ecco perche ' hou mi fenno at I = 2seuxcoix.HU/2/xl 20 oud . tgx = Xtocx ' ) 2am x. coix t2 seek C- 31 cost '. C- seux ) to "Cxl= cost tg" ' ( ④ 1=2 ( might Xtocxi ) Ford tgCx7= X t # x' to Cru ) = Xtlgxdto ( Xd ) - 1×3 line 6 as oft = ITO - fi 's =- f ---------------i--- " ' ax 'towwe÷ . . . problematic : line Xtow¥x nouposso-s.fi ; -2×14 x → O O ( x ) - 2X 't o ( xd ) = o ( x ) - andre - 2×3 e OC x ) Tadema di de I' Hopital ( per iecakoh dei limit ) HA DELLE IPOTESI . line bag × → i any To ) now uerificateeeipadxsi ( cos je ten x ) uouhulliiuuu opportune ④ , line 2hogx.iq iutoruo d ' Xo - I , eschew to / --= 181 some naif . kipohhi " 12cal fan ME → D= pay can D= . E suit " ④ = line 2 . I. It Zloexf , × → 9 == ¥2 duplicate .• line bag ( x - i ) tog Ot rest Tex == t A ( mousouovhifkip ) seusassi ④ find IF = tf =- N - SERRATO two di ④ • line x × xn too e¥ = I tf ) ethos " , elogx " , you " amano " fine . ¥× = fine . X " " = fine . ¥ = 0 * rapplicoHOlsouoverifiaateipotesi1xxs@xhe9xDx_exhh9x.fg.l egxtx . ¥ ) . X " ( Pogxtt ) yo e " × Dj e " 'T " ( 3. log × tox .ly/=X3x(3logxt3)=3XHflgxH ) ④ line X×(ha9_ ha be stesso " livdlo concentrate " del eat 3 X " ( heart 'I eiweyedeto ( situate houmigliouete ) = 0 ( algebra ) A fee , , / Iet NO at studio complete I no f " le grapico b) olopoaveruegiushfieoholiesisfeure , x' t2et2 XZO deteruuwarememanolutidifiufl.tl ! c) Quale ' asiurotihogcxs-fffat.ae ? te XZO , y -- X 't 2×+2 e- uuaperabole If -2,1 ) i.= @Zt2xtI1t1-lXtIft1i.X ? F' ( -1,1 ) no :c .ep¥ofe¥oe . " a i i I segue fee ) now hathi ( verified ) i ! i i i i , euro ⇒ ÷ : . fade " " 1111 - positive .ie/R ICO ← s × so % , i ..= limit ( no as . chital old . a too ) Eko .ae#=af..-.=fe..--2qo..-=f.=2 " → f continua in e- o ( def di wut ) ⇒ f continue in IR ⑦ IT .no#ix=aIe.=Feo-=f.=2f+=tNMoas.oritt ( ? y=mxtq ? ) me www.kcheseguouo , who svieuppi - Ce 's y m - IT . t = fine . y÷xyx = (8) iv. B a - et N . I X X -- D live x -- a ¥¥= - 2 ¥ → o 9- Iihf fklt2xqhif.jo#et2x=liufa2t2x-2xe ... 9 - e " q - live 2t2x-2xe x -- N a - e " N - I X X -- D to → O svieuppo et - lttttzttgtoftd ) ( arbitron 'o ) ⇐ I → ° e ÷ at tzzt to ( %) NB . - 2x . o so = line 2+2×-2×4 tf that to # )) & ← - o -, ¥ . - xfktH-H-K-I-E.to/I*I d eccessivo = live tht 13×+0/1×1 = Ito to x - - D Opp . HI ,- × (-1×+011×1)=176 tstocz ) =L Y= -2×1-1 [ I I as . older -9 -2 " 4¥ ! fit ⇒ Ex . -"÷ so sina.to . oss : % , = ¥7 . " ? : se hcxi = out ⇐ line h = O ⇒ hen infinite sin X → Xo • Derivation th di y = few = 2 ( t - et ) ' ( X so ) ④ y ' = 2. til I r - et ) - 2 I - et ) . ft ) = @2e so ttxso G- e' " Y :p f- e- decrescent in C- a , o ) ④④ ( potubbeemerewhtedeteuuiwareiutersetiouiaul.es old , aehimeeeh ' mon so essene pin precise sulla di f e asiwroto ) X=0 f. diminished anoeuro di f ( f C 01=2 = m ) ④ { a ' = @ no ④④ Y ' = 2×+2 XJO line y ' = 2 ¥ =-' , e- D= Ot x→ Ot two . a ' = . .- a7e÷÷× . . -2 , * .=. :& ) - Ling .- f- II = fine .- 2e÷Y =- 2 . of , = of espou . O Y - X - O Punto auyoloso I i m.jo#hI=z - x fee , , f Iet NO b) ooiushifiaareesistewtedi me Mass . di fee ) in frig +2+2×+2 XZO Weierstrass g m , Mass , b) f Cx ) e- continue ink , iuperticolareiufl ! ) = , assault infill I f ' ' ¥ *g x . o e- p.dimiuasscaucheiufl.IT/em=2M=maxfftDifcndg g Ee .= EFFI ' Fa e -- 2,7 ... fu ) I said 45 M=5 , ⇐ a p.dimaxaniufl.IT e) ashton at di f I outta - o , oblique eta ) Aeuariare di AER , Calcote line Ekta x ) - 2 tax = Atl -2 too × - ot - 07=[0-0] arctgex - x ' N : t - so et - 1ttttfi.tt Oct ' ) 9%0=91-2×1 - 2×74-3×70401 • castle 1 - tf to Ct ') aescrzx ) = 9 - X 't OCH ) N=Xt2xt2Nt4gxtoCx3 ) TX - xdtocxd ) -12 tax I Ital x t x' thx tow ) / a= - 2 Nix 't 4-3×701×4 , X' toll ) af -2 Next a) Xtocx ) M.L. D= Ricardo : aretgxnx ( ourctgx )2NX ' rarctgtt t - tgtoctd ) X→o fautgxP= ( x - go tocxdl )2= X2t§°t( owl ) 't 2X . ow ) - 2gd.ocxoy-fxt.IE owl = X ' - frit 't to cult 01×61=+28×4+01×41 a =- 2 line t = Iihf , ¥÷=¥%+ - 1×2=-0 × → Ot - 2,3×4 + ocxh ) a ¥-2 line Y}2n+toY¥ .. fi ; - 3k¥ ¥ ,= frigidity x → of 2×3 - 3. C- ) { Se as - 2 , rat 240 , l = to Ot & res - 2 , ratz > o , l =- D line lag x - she CITX ) = hagi - sheet ) O - O - a ± Ez = I 1=181 4 sviluppi di Taylor in Xo - I log x ×=→ , hag Holt logical C x - Xo ) t ' + o ( I x - ed ' ) hegk = & ; lag "x= - 1×2 log x E , , logy ti ( x - it - Iz Chito ( Cx - it ) - IT - -0 realm - sunlit . M t seu ' little ( x - I) t serif - BT t o ( C x - it ) Xd seu ' C Tx ) = Cos CITX ) . IT ; seu " ( TX ) =- fuel TX ) . IT .IT Nie Cx - i) - { Cx - it t IT Cx - I) to ( Cx - D2 ) = I 9th ) C X -t ) to ( x - I) ) D : rarity x Eg , arity 9 t arity ' C Mk -I ) to C x - 11=41 tlgcx - 1) to Ce -I ) arity 'cxi=I " " am " t.IE#=2tztf.esen9IiaY7gI7qY4 X → t • fcx7=xe " diueostro che a.) svieuppaal 200rad in Xo=0 f Cx ) = Xt Xd to ( Xd ) b) stiuuaerrorewmureno , diwuostuewdotalesh.me C) sviluppo all ' 110 cord in ×o=o Xe "- x - xd = ocx ' ) d) sviluppoalzoordceuthetonelpuu.to stationed dif ⇐ I live 1eEx=O OSS FE 8 C IR ) x -90 xz flexi = 9. e×txe×= Gtx )e× live e×-l = O - x - o X f " Cx )= next cattle C 2tx)e× ④ Csouoverifip ) fi " Cx ) = 9e×tC2tx1e×= C 3 the " lying e¥ - ¥=I -1=0 f- " a) = C mtxle × C diueperindutioue ... I rat f Cole pyo , =p fcx7= Ot text } X' to Cx ' I = xtxtocx ) x -O f " C 01=2 c) fix , = I f"nqxLtoCxM f " Colin ( vedidietw ) Me O µ At m fcxs , E mmx to CNY = E mny to I b- O he I / ( n , o : niello ) M = I × " men tofu , ( Chiaramonte , puiiessereottenuto dal prodottoi X. ( at Xtxt + .... ) d) Punto stat : flexi . O ( xtl )e×= O X =- I f- the - Ie ; ft - neo ; f' ' C- 1) = I . e- ' =L f- C x ) En , - Ie t teeth 't o ( ( tht ) ( e- una parabola cow vertiunelpuuhoiuquntioue ) limit : lying . ( e x seu . cost )) . xd , albanian di RER feet - o.o - coho ) at ) t =L , svieuppoiut - o e t . It 1×+4%+6%+0 ( ¥ ) ↳ ¥ . sent = I .- to D= ¥ - ¥ to ) cos 1=1 - ⇐zIt to (1×4)=1 - ¥ .tl#.toCtdliT+ao(HH1xgtfgtoff-Itf-dstI.Iq .pl/tfzp-*tCyx/.xa+@Mras2IY+oo(Iztfgot0( ¥ ) ) . Xd -- fine tetra =×h¥ Xd -2/1 re 2 t A 092 PRIMITIVE di fuutioni J fcxsdx = Fcxltc ⇐ s F e- derivable in ICR , Fi cx7=fcx , in I multi • f×ad× = xaA + e , iufalti : . seat -9 rats ' ¥ ¥ frothy Rtl .' sea - -7 a fx-idx-ffdx-haglxltedefiuiloperxsooxso.fr#dx=fCx-35'dx-- log 1×-31 te KEIR .fi#,adx=fce-354dx= lIfI to =- 3¥ , tic of • 14×+1 , DX =/ Chain x f hogkixtll ffkxs.ffcxifdx-ffcxl.IS att • I d×= 41144¥ , dx= 14 bag I 4xttlte.se#adx=E44.Yi::;:x=IHt=-ncTxti • f×z2¥ DX ( RAZIONALI FRAME ) • divisione the poeinomi • Ruffini grado Rationale fratton : iuteopo quando gums gild ) , altuimeuti divisione rope ( 27=0 e on ( X ' - 5×1-67=2 se XZ set 6 ha Dso ( fat outta ) , froude could saihwueiufueltiseueph.ci +2-5×+6=1×-214-31 ( DSO ) ← Faun . c×} = ¥2 t B- = A×-3AtBX = CAtB)Xtf3A-2B# X - 3 C x - 2) C x - 3 ) I X - 2) C X - 3) ideuncihtxlfo.IE?zpf9Yg.o , I III :B lit = ff¥zt¥)dx =- 2) ¥zdx t 2 DX == - 26g 1×-211-2191×-31 to q fog t . C verified • horse volta : Rationale ' fue ai 49/11 • → integration e di f eleweurari ( e how compost ) rat i too d ' eseuysio :• / e " dx = et to ; → Jfk , . et " ' d × = et " ' + a iufalti : D ( et " ' t c ) = e f " ' . flex , • / dx = log Ifcx , lie . / f ' cxfcxi ) d x =- Cos ( fcxi ) t a • / × ,god × = antone Cfcxi ) te Ife " " t 2 seu Csx )) dxtwYt%e6~dxtzfsseucsxldx.ge#ganlsxl t C .IE#..dx=fEIeA.dx . 1k¥19 , " \ arisen ( ex ) te ( eserc : Domino ) • Jseuxcosxdx 2 modi # * , d×= seed × Amado : f flexi . fcx g- t a ( coupon 're ) Z° modo : 2 seuxcosx - Iz Seul 2x ) I = I ¥2 Hulk ) dx = Iq f- casual te =- Coil try tot - cosy =- ll-2yu =- I , tseeix Is =- I , t suit to a = d - I 4 • f toff dx / bq¥, dx = log{Cf + a =/ { . { Teogxdx = { k¥2 te = las te !!at ' at • fcotgxdx = / co dx = as f*-ao dx = * haglseuxl te is f • f ! dx = - sostitwtiowe ( parameter ' che ) \ seux = 2 sue (E) cos (E) A 9 = sniff ) trail E) oh .mil?ETgixIdxth:iYET*ix=t : tf :¥⇒ . ag Iaa (E) It hag fseucx.at/tc=eagftgCEHtrc - B RAZIONALI FRAME . ftp.IdxgrcnlfgrCD ) ⇒ divisione pohiuomi * division maiden , 1×7.7%7 :* , .c¥it¢ - 3×2 - 3x - It It / - 3×+1 I , quot + 3×1-3 - PCI = qcx ) t I 4 guy 9cm \ new Crioulo : opcode gel 9 ) I 1/-30+3×-3 t.fi/dx=-x3t3zI-3xt4bgkHltrC ° f×±¥÷dx rgrcxhlsrgr C Dent → divisione - I dx =/ t.EI-c.IE/dxCnouvalehepeua ) 6×3-9×2 tox to It 6 t IIE " ⇐ -27×2+1624--243 108×-243 • / +6×+27 tfo.gg/dx=gIt3xZt27xtF*oozIjWdxf&jhdx = 27 f ⇒ dx 108×-243=9/12×-27 ) ( x - 312--27-(4×-9) £7 f dx numerator C loop ) D= O f- 6×+9 A C x - 3) 4×-9 Ax - 3A TB = Art C B- 3A ) ⇐,=¥,t¥ = ¥ Hai :* . HE :* . I ::: 271×4=31×+27/31×-35 'd x 27-4691×-311-273 ¥5 't a - 81 .----' t k • f dx x2t4 |¥g dx Brc Num ) egrlbeu ) ✓ - ALO yledeinetodeldeuaeundveudi20gr.NO , a numerator possoavere : C log ) lswwacostalttearctg ) x 't ¢ D- 2x p If . ok - /¥4d× It =¥t¥ ) ' 4¥14 'T = 32 Eogcx 't 4) - { arctos (E) te I flex , = 222=1 - ← ( It f EY ) 2 atfcxi • /×t÷od× At Nuuk open ) ✓ grCDeu1=2 D= 4-1240 x' t2xt3 = X' t2Xt1t2 = Htt ) 't 2=2 f Utz 't 1 ) htt 'M = 21st I . dx fix , t tf I tf 'm I = rzautgfxrt ) te | DX . gunk gray denom : x CX 't 2×+2 ) , I I Mgr Loop , DCO x - 3 ¥+2,5 , = As + qBIE .tt?77?..t2AtBx2ty .= I AFB ) x 't Atc )xt2A t÷÷÷t::÷ . - C = A - 2A = 9+3=4 I . I (1×+2) I I d×tf÷I÷÷÷d× . . fear .it/EIIIdxtIItIadx=-3gloglXlt3qeagCx72Xt4t If ,¥a+zd× =. qlogixttefoo.CH#4tEfxItEd " 1×2+2×+11 " t{f¥pd× a + Sq arctgcxti ) t t • INTEGRATION E fer PARTI ffcxi.gicxsdx-fui.gcxi-ffkxi.gl/ldx f- → deviate g- integrate ← seethe : fortotameute 194×1 , fix ) o per convenient .• ffogxdx = JI . lagxdx . frarctpxdx =/ I. autgxdx f 1. autgcxldx Eh " X. outgun - 1,7¥ no rgkxiol - 94×1 = x - flex ) = I 9+4×2 D- 8×1+4×2 a fix ) = xarctgczx ) - ¥ ,4? dx htt ) = Xarctpczxl - hagH Itc powwow " I verified . / pcxs.exdxjfpcxifeuxdxtfcxi.pe x ) flexi ( abbanaguedo ) pix , = et ; ngicxieseux .... Cgcxiholastessa nature " digicxi ) . f sent xdx Amado : Hi Jseux . seuxdx =- Cox . seux - f- cosxcosxdx 20 modo : duplicate . ! ASH - seed x )dx : I * :* faux . seuxdx =- cost . seuxtfldx - fsuixdx - I fsuixdx = -cosx.seux + e ( Riconeuta ) X 2 ( aeuahgoifcosxdx £ modo : cosczxl = 1- Zsuix ⇐ s suix = Iz - good x ) I { dtflgaoscxldx . - e ;teDe±e D ( Chinle Shlxl 2 . fctuxdx Chex - Stix et D ( Shut = Chex ) flhx . Chxdx = fhx.lhx-fshixdxshx-chx-l-shx.ch - fthxdx - f- ldx - 2) Aix dx = Shxchxtx I wxdx=Xt8hzxChx_ te esere . / ( logxtz ) ' dx SOSTITUZIONE ( rose ' motevoli ) J fcxldx . fcx , sia una nationale I patta ) in ex PHI qcex , e- it • feel not fiance in × a PUT q I xd ) x ? t . tax → trigonometric . Fb - ipevboliehe A B homie he feet dx =/ey dx .. ftdx - fe¥ , dxstessa " difficult " concentrate A B home he feet , dx =/ dx .. ftdx - fe¥dx stessa " difficult " concentrate ↳ e×=t L invertible , too ) X = hagt dx - Idt It a Edt = I dt Eat hot . ftp.ftt/BEdt ... concluded esoslituine alla fine B) TEDx 2=6,831 s Df -35×233 Et .cat .nu . I ! Tent 4=0 t ,= arisen 0=0 t - arisen ) ×z=B tz-arcreuffgy.TL dx=T3 cost .dt = Et . aostrzdt E- lcostl Helo , forget = cost = zagtdtfwst-costdt-seul.cat#fseutseutdt =er. fcoitdt . teutcosttt FCI ) Flo ) -2 te = qfseutagtttjj.dz/ottI-q1=Etq=3gT INIZIO 16.20 → Ancora qualehesostit . 20/11 → int defiuiti ( too media , axe ... ) 1×4 → iutiuefrofai . I CONCLUDE RE %¥¥× dx → Rationale ' in xdpug qcxd ) 1. × 's txt ×= tr ( f , ,zr× T t > o ex ' o invertible fit ;Fx=t " ; Fx .to dxs-12tmdtfq.at#.12tndt=kfuc-gIIy-dt=12/gtfIdt gums gun =/ to - Gt ' test 't - 9. PITZ +92.81 )dt pzftiotosto + -917.8ft + tsaf.tfgeitht-a.oitfzg.ae#t9ibitt9Blt2t9 Eto - 421943.8J It → - 120.814¥ ydt - 12-9781 .dz/,+t3qdt..Karetgftg)t2t9 I IER " ↳ ok . f dx national in seuxlcosx , - II tanami :# ↳ tg ÷ famuletonemehicne Jeux , 2€ Atta £×=fI¥ ; t . tgcx , { = arctgct ) x = 2arctfctldx-qffzdtI-fth.TT/xi=-ts-ta--tgfTI ) . - Bg ; a- I, - tz-tgftff-tz.BY?rghI#.Ftydt=frg3ffzdtg2 y¥dt simmelnie Iff e' periled e- iuteopobife ) I - f- Bg .bg/simmnisporipiue ( a ) if 1% , htt . ftp.dt-fr.sn#dt..gmmu2n!oBIzdt=-4fofdta Hai tin t iii. ' ¥¥t¥B fan . I ' . a fit :{ " z I at =- I has It til t IMRE -I I t Ccl = I hog I III , I * - 2 feast :# I =- 2 hag It 2 eye =- dog GIF ) -0 - E =- zag I =- seok ' - I÷r⇒% signified geom f dx = in " " " " , ..... A = integrate aakohato • Eta x= asha ) ' Chit - Sh 't =L ! C x4t4 ) • Ear → x= rachal ! ! b siscompone fr !tEdx i gliuuicipohuom ' ' , chehousiscouefonf ( private per pontiff .tEGdx ,--- fatwa ) ! souodittgrcou I DLO ⇐ Focht t.ch/Irg)Che-iwvertibite!CoLtuaguellidil9perx9O ! ------------. de-rs.shtdta.rs - t , .cat#1=aifs1=oeotzI=fr6Ef1z--3 - t § b ↳ Cliff ) - b bath . sht.rdt.fgsshtdt.co/!seitdt! fshlHChyttt/ ! Ooo a O O = Kawaii - I. ftp.tootehfgt-iilsubh-FEFE.fi --------- x , =D - ti.ch/rfI=Ch-if4=oeotze-o=fr6Et1z-- 3 - I § b Cliff ) - b bath . sht.rdt.fgsshtdt.co/!seitdt%7fshlHChzlttt/ ! Ooo a O O =Kshlbvh¥%# - I ftp.tootthfot-iilshlbh-FEFE.fi Th b= Cliff ) ← , Chch . Ypg cbtze-b.gg ( boo , dove Choe invertible ) Cakobau ie valor medio di 2¥ in 1=10,1 ) e determinate illivalaidixiuaeieassuuro TEO MEDIA INTEGRATE ( f continue in Calls ] ) media integrate : fee ) = fatfcxldx celeb ] b- a I valoreiucui e- arsenite media : fees . fiffxd " Oss : fcxicouhuueiulo.LI To C Dff - Rik ) ) www..tt#x*.=rzfF=IFFr.parcseuChcxD-hicxlFh fee , . @ can I! , annum - areseufot-tqcefo.it fatty ¥ . .iq Foe ¥ , 2- deff , 0=2 - tf c=±f¥ ( to 4 Cielo ,oJ feast ¥ . FE=¥ , 2- deff , 0=2 - if c=±pE¥ . " " ' ⇐ 6-8 fabfcxidx-lb-al.ff.cl AREA base altette d intervale Sia fcx , continue ink . Sapeuob chef ! fcxidx =- B ; Jjtkfcxsdxsl caloocan £ HE )d×↳ q± , x.it € x ,- -4=-1 dx=2dt Xz - tz = Iz I ? f- Ctl 2dt=2 fetid ,t fists ) -- fi , 3143,71=21 ! fctidt t 2 fctldt =- 253+2 • halcoharehenredie integrate di fu , , 11×+21 , KXSO E' tt , se × go.iu%f3.gg Ip : Df = R , verified cont . in X=o : f lol = 10+21=2 → fetouhnuo.in/oalic.iug..fqgxliTo-kt2l-2ixhjueo+e*ti=ltl=2 tfci.LI?I;d,L..lqf1ikt4dxtfjcehthdx/ , media - 2 1×+21 . !¥ = Igf 2) dxtfzxthdxtfofe.FI )d× ) , Xt 270 ! §f3ed× = tf tix ) .it/eFtifo ) ... 20+192,2 24 → iwterfor . geom . Y n ,. i ¥ . ,.'." every mealie di fcxi = hag (3×1-2) in E- fig , I ) can interpret . geom . 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