Energy Engineering - Analisi e geometria 1

Raccolta di esercizi e applicazione teoremi P 5

Complete course

CURVE PARAMETRIC HE 18/12×41=1 - t . Data lacuna param Y { ya , =- t2 t ER = I 2- Ctl = t a ) verificore see - seiufhice , se e- regobre b) determiner il verse telegenic al generico panto - della aunt c) e- wine curve piano ? ell E quot della neto Tang al support della anne in P ( 2 , - I , - I ) sostegwo swimmer : alternative , fat = l 1 - t ,- t ' , t ) o rift ) .. ( III / at seuepeice ⇐ s fun # fete ) , At , .tt#tcCfiuieltiva ) OSS : za ) = t e- iuieu 've ⇒ Z C ti ) = Z C that , etc ⇒ aura seuyolice , vehrretaugeuk hegolare ⇐ s f E 8451 e f ' Ctl to Atef derivable cow decimate continue f ' Ctl = ( - I , -2T , 1 ) C component continue ) iuoetu filth # CO , 0,0 ) At Codes , x' ftp.fo/--geurvanegoheue b) I cnn.oukeiyl.pt/ftfgllfttsll..ftItTtt=T2tht ' * =/ - ftp.i-z?tq..fq./teR C) curve piano ⇐ s IT piano couteueureluuiipuutidelheanre ⇒ 9- a. b. c. d t.c.axctltbyltltczctltd.cl At - - mouth ' Milli eg piano , soslitueuow ( xctliyctlitctl ) all - t ) tbft9tcttd-ON-t-bttcc-asttcatdl.co At fig!I÷g { !Ia A- 9 1×+041-12--1=0 xtz - I .- O coulieuetuui i punk della curve E PIANA C OSS : si poleuaosseruare " a occhio " X = 9 - Z ( " f !!!! ! :{ ' Tatti .tt teens , x. y ) arctgt d) P ( 2 , -1 ,- t ) retta re : { If ! I ! Ita ! nerd I § ) dinettaeepeuksftgtolconispou.de 2=1 - t up Cuco to : ( 2 , -1 , -11=11 - t ,- t ' , t ) / - I =- t ' to . - t - I = t 9 (E) = f 't - I) l nonetheless che sie VERSORE ) conisp a P if ;) af : Inner Z =- ht u OSS Si put osseruare che le components ' della curve sooldisfauo ( a2a2 ) ( verifiable ) Xt 7=1 ; y= - ZZ ; y ,x2t2x-1Z=1 - X IF . Tao !a÷Eouai¥n , 7• studier he ragoloritoi di f Ctt C t ' , ltttl - t , t ) TEE 2,1J a e- vena curve ? ⇐ 9 f C- 27 =fcn f C- 21 = ( 4,3 , -8 ) f- Cal = fcb ) f Csl = ( 1,1 , 1) =/ now chime Regolorita : Itt ,, , f- t - I , te - i + til , t 't -I- 2T -1 facts . ( t ' , - t -I- t.to/tEf2HI;fzCtI=ft'.HtIft,t7tEfi,lIfiCtI--l2t.-2,3tYtEf2.-ID;fiCtl=l2t.0 ,3t ' I tefl ,1 ) line filth C- 2 , -2,3 ) ; fine , + filth = C- 2. 0,3 ) ta - 1- IT If ' ft ) → nounegobrepu t -- I N iuoetze filth = 10,010 ) set - O - thou negohare per t=O → lacuna date e- negohareatualti in f- 2 ,- 1) Ufl ,O)U( 0,1 ) . Data la curve { y×Y? ,tout , te f 41T , 41T ) 2- Ctl = 2 sent • e- chima ? . e- seuepeice ? • Chimera : f C- 451=4612 , cos C- SITI , 2 senthil ) = ( 1652 , I , O ) fChT# thing , , f Ctl = ( 16T ' , cos ( 81T ) , 2 shelter )) :( 16T ' , 1,0 ) E chime ( analogs : Je f her , mtg ) ; ha Chiusano " hohcoiuyromette " ha saupeicita • setup lice NI t , =- IT fttl.CI ' , 1,01 t2=t IT flit ) = ( T2 , I , O ) ¥ In generate guarda se Ft , .tl , ti # tz t . C . fcti ) = fetal t÷÷÷÷÷i÷ . I :c :: :c . . - tune :i÷÷÷± : Ieee C til = Health fan " mii " fattest :*:* .ir/2seuCtil=2/seuCt4 fuel - the salty fuel - a) =- fleet - Seu L th = svelte ) → Iseult 21=0 Sheetz ) = O t2= KIT KEK ( Ricardo : TE f- let , tell K=0 too C tie - tho ) X ( tietz ! ! ) K=1 tell tie - IT ✓ ÷÷i " K=2 tz-2.IT tie - 21T V K=3 t3=3IT tie -3T ✓ 8 • ke 4 ( Chinna ) ? Date f Ctl - ( Rt , lost , { ty TEC 1,39 ← T a) e- rego here ? b) aalcocoruehaluuphette a ) Jg Fds , F Cx , y , t ) = 9¥ a) negotiate i flat . ( r2 , It , t.tt/7couepoueuli continue put E [ 1,3 ] e filth =/ CO , 0,0 ) At ( aides , xi Ctl fo At I y ' Ctl = It ¥0 ⇒ curva nbgolare ( eserciverificorechee-seueph.ee ) b) ↳ ehtificabiee.cioe-haluuphetteh.la/lf'CtHldt=/gdsHf'lHll=VF = PFEIL =.. Http =t¥=ttf L .. t tf ) dt = I tf thought ) ! = qteog3.gl/ogl.LYttfoglf ' it 4 fyfds , FCxiyitl.rs# ds .- Hfhttlldt I per definition fabfcxtthycthtctl ) . Hfttilldt 9 Fvalurete say melleipotesii T negolorelatualti ) F continua suipuuh ' delle curve . FCk4Al=y¥ C. E : ( xctl.tt#osetEf1,3J ) I !bqt÷ . fttyydt.iq/e!oet.tdtttfjzeogtdtflogt.tdt=hast.tI - ftp.tfdt.lost.tf-tqctclfctl-loptfhtl-tff.eostdt htt . Chaya = hast Ctc , = E ,f§t . t d t t If ! ¥ lost at lost . tf - tf It c I hagft C t 4 → = I , feast . tf - tf fit I , I hoeft ) ! = { , ( 9g top 3 - of - 0 t 14 ) t I , [ Bff - 0 ) ... • Data ha curve f Ct ) . ( - t , 2 sent , 2 cost ) te [ 0,4T ] a) China lamp lice forego here b) luuphetta c) photo metro drew ( o asa 's sa anvihheo ) d) Boriceutuo ( o out wide ) della curve , condensate Corrente scxiy.tl =P e) " -- " , wudeurihe 8 Cx , y , z I =- * y ) application a) Htt =- t e- iuieune I degli iwoegudi ⇒ An " ⑤ Muth " " " th " " - ' m " Chima §µqaM Rego barite : fifty . f I , 2 cost , -2 sent ) f ' Ctl e- continua ; flat f- ( 0,0 , 01 ft ⇒ hugo here C quinoa . rectification ) b) le Ifds = fabllftttlldt Hft till .fi#t4seuT-=fthe=r5L..fo4trsdt..4rsT t c ) poraeuetwareo : scty-fllftuslldulnohseuyree-espeicirab.ee ) to fruition integrate nostro caro : to = O ( scelgoilfaiueoesheueodi [ 0,41T ] ) sctl.ftrsdu.fm/n.o=rstsCtl=rst(tcsi=sq)ilporouueho arco famine una ( degliiufiuiticouebiodiparaueehittoit , fat → fcs ) =L - t.zseut.cat/!(-sfg,2seu(fs),2eos( Irs )) tf lo ,4TJ secs , .si Sefo , herst ] I p ti to m=rsti = Vs -0=0 fiwrewallo sets -h= Vs .hlT= test haha Slessor laugh t 1.4 'T Mn ← eriutewallo e- " diloreto " della centre S myth gym d) Bariceutw B C XB . YB , ZB ) Xp = Im fyd.xdsiYB.IM/y8.yds ; .... -43 .... ( ke :I:÷÷%÷:÷÷" daemon .ae M=fgSds ( N . B se 8=9 , M=fg1ds =L ) M=L=4BIT XB - III. tttorsdt = ¥ , .rs//ohItIdt--fqftfIo " . - hi . - ut YB - If ! "2seut . Bdt =- 2¥ ( cost ] ! " = O aualojeueeute ZB :O f¥¥¥÷ :c : Se 8 now cos toute ( in generate , 870 ) nostro caso : Stay , t ) =- X =- C - t ) t E I 0,4T ) ( pili peaauteallourauaudon.IE#roiuiriale ) g. M = fr Sds . fo C- Hers dt.rs/tII!T=rs.iqIIorsITBariceutuo/nouomogeueo ) verifiaarexps.me/y8.xds=ImJoIoftI.rsdtmsstetnaC-hITi03 piuviciho a - 41T YB = mt-fg8.yds-tqfjtt.2seut.rs dt C park ) Continuate , per fame , a sequelae errors ' e imprecision 's present sull ' eserciaierio a filippo . taro @ poeimi.it