Energy Engineering - Analisi e geometria 1

Raccolta di esercizi e applicazione teoremi P 4

Complete course

. fnotoce-h.ba - converge ? Yogi - 3) I e " - e 't ti ) Unico I exec : vaifiaere ) [ to , too ) Inoue fcx ) e- DYER 90 fcxl > O in [ to , too ) feel ~ ex . lag x x - to ⇒× Haitian ) =ze¥9¥e× = ÷ ? fi ! :* ax ? x' see " x' = ole 't X - too soooooo ¥-0 opt Foshan ⇒ integrate den esisteiuseusoiuefr ) converge C variant bug 2013 ) F Cx , = fz× tft e- % It ) fruition integrate ha esiutoto aint a ta ? ↳ line text deve ensue fiuito x → too - Jato t e- " that frobeeme : to - f Ct ) 70 two ¥ . g- eo f CH N = If f ,to¥dt Diverge ⇒ per coufuoutolasiwr ) fztofctldt now cow ( diverge ) ⇒ no asiwrotooritt di FCN a too DOMINO di FUNTIONI INTEGRAL I FCXI = f C t ) at ↳ nicexoil dominie di fitted , eveuruoeweu.ve , " lo esteudo " • It dominie di F e- sempre we INTER VALLO • Fcxi=f×¥dt fctt.tt#Df=l4.tNl.fcoutimueDf3DfCperehiH/reuob Xo E Df , F' Hot Ctldtesiste ) ?esisk Fun ? Fine f " ttsdt =- f④stIfdt Ciuyropio Msp ) ( f l tho ) f CHI , ,t¥µ← , integrate convergent ⇒ I fiuito Fca ) ; Df -- [ 4 , too ) eserc-fcxi.fr " dt , Dr. = I hi too ) It -4190 → tf4fcxf@tf7fpydtfctI_ttIIhDfifa.muC4.t a ) ( SE C Leitao ) = , Dfs ( Leitao ) gz Ii ; FCN -- f ! ,t¥qdt FAIN ,tI9% ,, integrable att ⇒ 4 EDF , esiste FCL , ) It -41 , f t - 4 , t 't 4 4- t tell www.set-4-fctl-tat#nIfIIihiYueorfYwpop.o ! ⇒ Dr. = IR . Fox ) = ttf , dt fctl.tt#,Df--foo,4lul4itN ) ↳ E C- Nih ) ⇒ DFS too , 4) 4- i f neo - fctvo.tt# ¥ , . ,Fey . integrate divergent → Df= C- N , he ) Iuoltu : Lily Fix ) =L ! fctldt =D . Gcx ) - Jj 't ' # dt . doueiuiodi G ; . 610J . Gtx ) e Gci ) monotonic dig . G " Cx ) e Concavities di G . gut , that Dg : C.E : t - t ' 90 - 1st si Dg = f- 1,1 ) move put emre estero ⇒ Do . fail GCxl= - I ! Ctldt OSI Gf - 1) =- I ¥CHdt=0 I e Guth so It E Do §CtI7o Ft → If gctidtsofifx ) Gcx7= - ④ SO • 9% , .tt?:IIII--Eau-ieparifioitidt ¥s Itf ! sctldt I opp Zfigctttt ) Gcn . . f ;tWEEdt ; Defer ) ; GALO ; Gcxieo 27/1 • Gtx ) e monotonic : Gtx , =- riff Ricardo : Fox ) fctfdt G' Cx ) to AXE DG Coutinho iholhe : G' Cx ) so ⇐ 9×2=0 v A - ×2=o Fi CX ) = f Cx ) f × = o , E - I v×=t1 tang . orizz G' Cx --.- § , Gcxl monotone decrescent \ is • G "cx7= - 2x . # - XZ.az#t*l==.zxn.x...*......n.*.f :& :÷÷ : " " " Foo Xe - tf VX9f} 3a moudefiuiteiux.tt Iis a "cx↳o ⇒ IIE x. o , ⇐ t.rs#jIIistIII % AA " "" " Fix ) =/ ! C t 2- 3) e- t It a) qualiasiwtoto a too ? - b ) minimax locale . f- Ct ) c) line r ( volewdo : fctteiuteopabikesphiit ) x - I fcxstzet d) svieuppo di Taylor di F , Chell , Ford , Y' to eouo ( fct ) continue ink ⇒ DF = IR ) a) fine , FCXI = fifth ) e- tdt fat e- pontine ( t > B ) ↳ iuuuiwroruo di too I thing , f- CH = fufu te = O Ccouditneeessdicouv ) I et , E Codes inoue : f Ctl Is + a test t - a ¥ef ¥ → integrate Cour . at N ⇒ fgtoofcttdt converge ⇒ line Fca = KEIR * to y=k as . oritt di FCN at N b) F' cxI=fcxi= ( E- 3) e- × f' Cx ) , 2×5 't 3) e- ' ' off ) in F' Cx ) = o x ' -3=0 ⑧ X=Ir3 punt critic - if F' Cato ⇐ g x' -390 xe-Bvxstrf.TT#+X=-rBp.dimaxperF I I I x = troop . dimiu perf C) line Fix ) × - a fcxaet-f-zeftze-T.LT/FCh=fgafCtidt=Od)Fcxyq,FCMtFtncx- HtF G- ' I 'tFg A Ift f- C 1) = C 1 - 3) e- I =- 2e - ' ④ resouovhifiuateopotesi I' Hoping live F' Cx ) a. Eto .FI#IIEE7iIIts---f---I d) FINE , ,FHltFtncx-HtFQiItFg HIT to ( Cx - it ) Fct ) = O f , ' .... Fi C t ) = fo I = - 2E 's - Z e F " Ci ) = f 'd ) = b ft Cx , , e- ' ' ( 2x - x 't 's ) e F " Chef "Ct ) , - I f "cx%E×C2x - N t 3) te " ( 2- 2x ) e f "CN= - te .4tte . O FCN , - Zeca I t Zee - D ' - gel # Pto ( Cx - it ) Fix ) = Joliet , dt ( now audodiiutegrorhe .... ) a) Domini b) limit at : souofiuiti ? che segno ? C) Svieuppo M . Lal Zoordeguafieolocaledifd )grofiwdifneltiutoueodi X= - I A) Df : Htt Ito ⇐ s tf - I Df = to ,- 1) UC - is too ) OE DFJC-t.tn ) from aid " allorgaruu ' " a siu f- it ) tiny , f- Chet Ciuyrolrio Msp ) set - s - it fct ,~e Itt , , f - t -I, se te -I- I - Ft , Htt ) tttl sets ,- I - It # A is integrate convergent - t EDF ( alureuodadestha ) - r - i fctw.ee#=c.eIqs,iukopalecourerg.Df=lR b) to : fine . Feng foto ,e¥e , at fY+of¥ -181=+0 → fotfctldt e- Che cowed recess coury de sin adenine inoue fatso , integrate " iuordiheuouologico " → integrate so → line Fcxl = t x - too - a fine . Fix ' . I ?f¥ndt= .- I !Ft¥Yaooeemet= - i lgieamjsdlol fine . . fat eof = 8=0 am + it " ' II . e¥=r÷ . e ¥ convergent - I Iihf o Fc " - KIRaw . Car . outta - wi yet ) K , @ faf ftttidtco c ) thx ) = FCO ) t Fi CO ) . Xt Fiz ) x ' t o ( x ' I X - o Flo ) = foofctldt . o fuk Hole f- =L Fi " ' = the af , - , 9.9 - k t Fx F " lol = fi lol = g- =L fiyxkfhxh.ex.rtx-ei.fr - Atx F C Xl = X t 14×2+01×4 ⇒ am . " " " " ¥ . d) F C- D= fjifctidt =- f ! fftfdt LO Thingummy A F ' til : f- now e- def in -1 Iihf , F' cnet.iufp.fcxl.pt#o=egI=tNflessoaraug vertical Comandante ) ' ÷t÷ Data Fix ) =/ , " hag ( eutgtldt , aalwhere F' (5) ricardo : fcxi.la?fetidt.fCtlcoutiuuo , Fi Cx , = fcx , " " fctldt , F' cxi-flbcxd.bicxl-flacxil.dk , piu-iufgeuaaee.am/ogmyawpo.raFCbcxD-Ffacxi ) - F' CX ) = hegcaretfcx ) ) . 3 - O F' (5) = hag ( aretgf3.tl/o3--3hogCarctgD=3fogCtq ) Gcxl --/z×tfIe It a) Domini - b ) Eq nettetauf al grief di G , xo=2 got ) C ) Asiutoti di G a) Dg : t ' -1=10 → t # Ii Dg , too ,- 1) UC - 1. 11 VII. too ) 2 E ( Li too ) ⇒ DGS ( 1. too ) guondoi It : line quiet ( ghetto , sets ) ) t → it ACTIN Ite ' + → it ftp.T#ztteIg&hoeiwteopaledivengewre ⇒ line GCX ) =D ⇒ DG = ( Lito ) x → ht b) y - yo = mix - to ) m = G' (2) Gi cxI=XIIe ; G' 61.451 Xo - 2 \ ay - o=4tz ( x - 2) Go --GCXo7=[gCHdt=0 c) line GCN = ( ? too ? - a ? ) × → It A - to fi getidt =. ) ! t.it#dt so - fishy , Glx ) =- N C El as .- vertical da destroy + a fine .at/z*tItejtdtFT+ootftept=8tf* = live ⇒ integrate diverge ( + ) tnt t¥= I m C as .obl ) Pd Lily GCN - TO moon . orittourale eine 6¥ . + . =¥I¥ait :p .mn , III. 9¥ = x→ too =eiw = . =m g.fi#oofItItItdtqx x→t A - MX 9%17 . "fIItd!% , x. III. dttz =×hI+ot¥dt - [ Idt - 2 x - 2 +2=91+014 t . 1) dt-zmx-mfakdttma-h.info/IXttEt#tidt -2 = fztooettfdt - 2 = K - 2 Koo 1- p hit ) htt ) N - integrable a too heh , - o t - tout ( integrate converge t → too ed e- positive ) ESISTE AS 013L : Y - XHK -2 ) ferenc ) too e' integrate f H-E dt converge ? o eat ' , e Deusto eat ' * el Ztt t # O convergent neghiiwhomii di of edit • Equate differentials ' 3/12 ← time ending veriabih .se/oorobihaqy'=l2dl8-YIYueafPudoeemedaauchy y 1=-1 passage fip giudip peruupuuto - iuueeiuthoww . giuslifiaareesisleuzae → y ' = gcylohcxl y , .at/*.Hgreuicita- della set Left b continue • svifuppo Taylor alvord hcxisseux V edisefuofuugvaf.co hoc guy , , zag - y ng ' Cy ) =- I V (8) della Soc .- mell ' intone del detoiuiaiohe ( PRIMA → F. unicorn , rye fcxi di risocvere ) t - f : Ifi ) - IR , f- Sol . dell ' eg .← Sol del RC . speeificouohi lriutervalloueassiuuale → • Xo = Ia , Yo --ffIz)= - I mean . e- sober . fix off tf 't K - Elt k-ETtofk-t.at/-Af'fI1=f2a8-fflIH.seuftI/= 2019.1=2019 Eg . rylcx , = ( 2018 - yen ) . seux Demo jy× , , , ylcn.seuxtczao-ycxll.com#' × f' ' ftp.y " =- 2019 . It 2019.0=-2019 -i-.... - f. !ff Taylor : fcx , = -7+2019 ( x - Iz ) - 20219-1×-1212 tofu - t )) PCE ,- y f a Iuteigualegeuenaledelleg . 441-2018 ( D = IR ) e- Sol dell ' eq , y ' = Goto - yliseux ( van . sep ) Menon del P . C - ( Yf 't 1=-1+2018 ) • cerwlesolstazleootaeeti ) ... → altresoldelleq y=c , Fx d = ( 2018 - y ) . seux y ' =0 So 0=1211 .seuxt× ftp.y-fseux.dx e = 2018 → altresoldelteg possoassuueere GEIR , dy = ( 2018 - y ) . seux Y = 2018 t G' coax DX qq.ge/seux.dxCEiYf2a8 Sono tutte tesol Canche quelle contour , determine 're - haglzoio - yl -- contre CER in alone made ) 1- c) hag 1208-41 = Cox te doto init : y ( ' E) =- I 12dB - y ) , @ a × → KSO -1=2018+9 e° 2018 - y = tkeaosx Y = 2018 Ikea " Kyo 9=-2019 Sol . del RC . → y = 2018 the 'd× Ith # O , HER g- c × , , 2018-2019 em " v y , 2018 Cfhima ) XEIR = Imassimale • fry '=2t( 3 - y ' ) at giustifesisteuuicitosoldelp.ci . b) svieuppodihoetauuhalvoroleguap.co hoc ( 9101=0 gsoldelp.c.eiutervallonraxihcuieifobizeq.avor.se/s . at Bly ) e- b' iuuuiwhouwdiyoso houliueare ( 9441=-24 ) hltl-2te-coutiuuoiuuuiutdito.co ⇒ I ! y= fcttsoldelP.C.f.to/-slRb1fc#x-jofC0ltftol.xttfjfI to flot-ylol.co t f' 101--41101=2.0 . (3-0)=0 ) f- HI = et 't oct ' ) y 'c¥I=2t( 3 - y 't -4 ) too OI t.ee/sdimiuDerironisp- t perhasolut - aj ' Ctl = 2. ( 3- y4tDt2t . ( O - 2ylHay4H ) y f " 101--4401=2-31-0--6 ↳f e) Soestaziowariedeeieg .- fy⇒dy =- Jy¥qtyB⇒dy y=c At Do yl=o soslituisw : Cy - B) Cytr ) 0=21.13 - ro ) At AytBAtBy-BB_=( ATB )ytf3A - BB ) 3- a ' = o e=±B ( Y - B) Cytr ) -7 = ya-t-rseycti.rs ftp.t?r5%fBIttggfA=KrsSouoduesol.Staz.dell'eq . 13=-4 2B hou socio Sol del RC . ( yoko ) yrs Tribe OI : eesolstatsouodarede - 1¥91 - ⇒ 4=-2%9/75+771 rgcyh-ocvor.se/o1-fqeag/TyIIrz/=t2trcIuleopalegeu ( y # IB ) D= - W3c fd=fdte2t = Etc bag /IfB→/= -2ft 't d DEIR 1%73%1 . e' Bt : ed chaos /IfIr , ) Bt 't d) DEIR 175¥31 . e' Bt : ed y - if K=±edNK=O ⇒ = Ke -2ft ' L ri how y=r3 tsost.ylol-OOIB-K.co - I = K Y - r3= - ye -2Gt ! Beast ' y ( ite 't 't ) = Vz - Beers " yet ) , B- Be -2ft ' - uuiuasoldelpc .- 7te-2Bt ' TER , I { × ' = taffy . Xttg • lsisteuzeeuuicite Sol • opofico locale well iunruodelfato initiate X lot =- A o sohez del P . C e iwternallo Massi mate ti independente \ road ; linear ; thou aver sep ) X i dipeudeure • x 't pctlx = q Ctl Plt ) =- t¥z ; get 1=13 Sono continue in me iutoruo Ji to = O ⇒ Eunice he Sol del P . C .• t% , to ,- it × " lot = ith tf : 1¥ × ' lol = of-z.tt/tlg=3tlg=hg1 = 6€ ! - to =- MIN × .. Milf X ' Itt = tf . Xlt ) t Ig ! K " o.ua#Xmti+o n¥-t X' ' ( t ) = It . × 't ' tuff × ' - t at , , e±F¥tI " . If get - ¥t . it at + c) car 1- Sol . dell ' ego mo g . f. tiffs , " = Mt¥ t It dt tf =- EAt¥tBB t.tn: a fB . " B 's A =- Ig qverifiaefefydt.fi#dttffydt=2eao/tETz/=hag( t¥z ) ' eeoc . ¥+5 ; e- M¥1 ! xctl.lt#Y . If I ft¥ , Idt te ) xctl.lt#Y.fftgfttIfIdtte ) I ( tty ) ' dt no standard : devo meme denom , divisione di pot ..... ( D= o) I tii¥I= ft : It # t¥ , ( ttohagtt-iltf9lt-h.IT#tGogIt-H-9Ct- IT ' Htt .- ( t¥ ) ? I Igt t Has It - It - off , to ) Ciuteopgeuuoleag ) X 101=-1 - I = ft ) ' . ( O to to to ) - I = Iq ( 3 to ) 3tC= - 4 C- -7 Is !;! C Eid :L 's ttuosit.it#.-efciEifttIY%fEII.tEfo , - 2) UC -2,1 ) uh , to ) Imax = C- 2,1 ) : e ' il pili groude iwrervallo , couteau to nel dominie dillie Sol - I coureueure doro initiate , in air he f. E Sol dell ' eg .- to = O E C - 2,1 ) . en . steuteeuuiahetol • { C X ' - It . Y ' = Iy a grief . co hee melt iutoruo del doro init \ . Sol e iutervallo Messi male y lot =- 2 nonlinear C y - y variation . separation : y . . ¥ , , µ . , . ×±±g? " " O = " routes ) ① continue iuuuiutowo di Xo -- O ↳ b ' in uuiuhruo di yo = -2 ng Es - I ( Ok esisteuuicire ) YZ { Cell ) . y ' - Ig • honor ' Sono Sol statiouorie ycol I 1y=0 maid Xo - O 's yo= -2 (O , -2 ) fydy d× ( 4¥01 (O - t ) . Yi lot - tf = , y' l 01=0 - 2 y ' { eagle 'll to EEK ⇐ II. njcx ) = I 2- = ycxl d=2c Devivo Crisp x ) y ' = eagle 's lltd 1. rycxl - xykxl lost . yl0l= - 2 2x . rjcxlt CADY " 1×1=7 +4 , egg ' tilted d=4 ° - try " Col =- 2 - o Y ' " 4- Y - y2=eoglxHlt4 y "C0l=t{ ✓ f- , y=t¥4 I soldelrc.y-i-eE.tl - 2 Yett - rite " if ' off ' ME " if soldetrc.ge#t4.J-Fo- c. e . { K' -1190 Xo = O ) look ' -11+470 f k¥0 x # t Imax . f- FE ' .EE ) toolkit I - 4 ( eschudogliesheuei perches , anuulheudo 1×2-117 e- 4 ilrhdicoudo , reudouohefolwou E- is - e- 4 Nx 't get derivable ) x Zz 1 - e- 4 N x' FATE " - Fei Fxs RE v xe - iterate - --- • Data equation . svieuppa al word della Sol . count " ) = O y ' = the . integrate generate delieq X ' f • socutdelteg . per wi y=x e- as . oblique a too linear guy , , fzx.ycxitxhskxllxkfx.HN -313K y ' - ¥ .y= - ¥ , k¥01 I y " C D= ( 201-1.1-311.1 - 10-31.3 • Sol . Wu Ycl ) = O ( 1,0 ) - 9 ( verificato The tale solesisteuuiua ) :÷÷ . an : :* . , Y ' Cx , , x2ycx × } love league 4112 . conclusion er . precedent a) gist . e www.toi Set . f y ' = tgctl . y t 1- b) gratia be . meliiuhoruo del p . init it suit ) but ) =- 2 C) Solution del P . C e iusieueeiu cui e- so hit .• T.ES anne beg 2017 - 7- Ts . 7 £ Ets di integrability ? - GEOMETRIA - ( vettori , fault , retie , Giani ... ) • In IR ' , Sono dah ' In = Coe , 3 , -1 ) Iz= ( I , -2 , b) a , b EIR a Determined Rib per an ' I , err Sono parallels . Ccouepoueutiiufrop ! a Determined I , ortopowale a E. Ife E- ( 1,0 , - I ) ( of =fz= -1g C component pop ) .fr , \ a ÷ . → b. : : ' " ⇒ cioiia .com ( verite .com : HI , lls HEH ) I. C x. y , t ) 2 diverse ' modi : - prod wet the field . I ,@ I Haiti { paodsaalorecnueeo - oeltoriortgou ) { traits -0 f - Ext day - 7=0 ( he , I 9=0 9X toy - 17=0 i ::::::: in ::::::: :t÷ : : . . . 3 y = Ex y = GEX { Ty !igbY more twvouuuuieo z = × oeuvre , me infiniti vettori cow testes sa diner ( definite memo di multiple ) "no " I '¥÷ ti::: y 'll • Caloocan I ' area del tubing oho di vertices A ft , 0,2 ) B ( 3 ,-I, -I ) 40,1 , -21 → verifier se ABT rettawgob ( lati , Pitegora ) AT = F¥¥B5tHa = F¥t9 = RG BE = F9t4tT = F4 AT = Ttf = to move dei modo di merit too Pirog one → Ild Frodo Eo vettori ale di 2 vettori AT ' -4 BE 't AI ' he buugheraecoiucid au e' area del parallelogram ,uy ( aI A c ABC ) = Iz HAT NAT A A - B ATB = ( Xp - XA , YB - YA , ZB - ZA ) = ( t 4 , -I , -3 ) . A- AT = ( t 1 , 1 , -4 ) Attn at . fig ;i¥¥ . oil ! t.si/hIlElYIl=7ai.jfI6tftlhHl ^ , I AInat.lig-IIIH.ae/IEl.jlhIlMYI/=7 ai.jfhotfth.tt = Fait 13ft SIR = ( 7 , 13,5 ) towpxlwuepyompt n ex , y.zill.IE A CAB = Iz It C Fit 3,5111 = { V¥9t2 = M¥4 = 92 B OI verifier che AT NAT e- onto parole ad AT ead AT CAPT , AT NAT 9=0 ( h ,- I , -3 ) . ( 7,13 , 5) = 7.4 - 13 - 3.5=0 ✓ I esercito -. Determiner in IR ' il luongo dei punk equidistant ' de A I 31 Oil ) e B ( 2 , -2,8 ) PC x , y , z ) t.c.AP-PBEEEFAHT.EFE.cz.TK/-6xt9/tyft 2ft Htt =- 4×+14 tyft4yt4/¥2ZtH IT : 2X they - Lez - 1=0 ← eg di we piano ( piano assiale ) been media M piano anime : IF www.ABB.fi?gf → verifier i. M ( Xm , Ym , Z m ) Xm=XAtgXB = { ; ym= - I , In =D \i . • A M ( { , - t , O ) ( MET ) APT = ( -1 , -2,2 ) I 41 - he ) o qualm ' an ' oeuvre I proportionate a. Scriven t equation delta netta per All , -1,2 ) e 1310,1 , -3 ) b Scriven leg della outta per A , parollehealtassey Eq . parametric = Rotta retailer { The = nyottb TER ( a. b. c) if 2- = to + to tphhmetw , dinetdelbenehe T coorddiuupuutu ra ) I Xo , yo , .ro ) S ¥941 , -1,21 ( a' bi 4= AT . +2 , . s , ⇒ / ! ! I It TER z ( a , b. c) .es/= ( 0,10 ) I oguabiasivelt I O , KO ) , K¥0 ) by Diretioueame " JE I tofu ) y passapu A × I Ty , Itu NER 2 ( tofu ) • Socio dah ' i puuti C 11 , -2 ,- t ) e D ( O , 1,3 ) 11/12 a) Scriven wi og pauaeuehice della netta per Ce D : b ) Scriven Wu ' Cg para w della neeta per D , parallels all ' ane x c ) Cakobau ha dis tonite di C dalla tiseltrice del Illvgwooh del piano YZ " f If ¥ :{¥ tee , * . Yo.to/nouupuuro ( a , b. c) ( a memo di multi phil dinetioue ( Xo , Yo , to ) = C O , 1,3 ) ( sulgo B ) ( a , 6 , c ) = C XD - Xc , Y D - rye , Zo - Zc ) = ( - A , t 3 , t 4 ) I ! ! I '¥¥ teri b) i. , la . b. 4=1210,01 I § ! ftp.o#yuuElR I I c) Cakobau ha dis toute di C dallatiseuioe del Illvghooh delfierro YZ CG , -2 ,- I) Ea ink , 2- =- y e- tegdiuupieuo ! ! ¥µ-y ( coulieuehebiaeltrice nichi esta ) Z =- y nel piano Yt minion :* : :c :: . " bit :÷÷:te*h , Se ( ie piano yzhoeg : X -- o ) oppurei { qq eq . cartesian ÷ :: :c :i÷¥¥÷÷:÷ : i¥ . consider : CBT i iwyoouyo CB INT CCB , VI 9=0 GOT ( - I ,- tt2.tt ) £1.0 - lftt 2) tlcttl ) = O I pseudo Bets BC 0 , - t.tl TER afoot .fi , o ) ✓ consider : CBT iiwyoougo BINT CCB ,Tbs=O GOT fl ,- tt2.tt ) f- 1.0 - lfttz )tICttH=0 t - Zttt 1=0 Zt = I t = { - , B ( O , - Iz if ) JB . to , } , E) → IT . dcc , b) = Kept 11=05 \ ! Ft . E. ¥y OI : B e- laproietdic sub opp : e- iepiededella ¥-6 de Cab • Date notte re : { III pep , s :{ K - ytz - 1=0 Z = Zt - I q Xt y 2-+3=0 a) determinant position Panam . tcortesiauo b) aakohorehedistoutacameuodelcaeco finale ) C internet Zfieui ) a) a : RC - 1,0 , - 1) Ere s : porto in f. parametric In - ( O , 1,2 ) seuepeifieoilsisteuue t 't 4×1+271-2=0 ¥¥pw⇒¥ue .mg/nidutioue)n2za2x-2yr - 4=0 Fr. IT . Ott - e, # o Crikey Power :{If .ua#uElRCercoi tens E =- Zu - I Ses , SCO , -2 ,- I ) ; vi. ( 1,1 , -2 ) distaste d=o posit . nette . { Finite ago ) esiskuupiauo incident C perpend ) do cowteneurek2ne.ae Sgheuebe d T o - houesiste an ski :÷÷u . ' init :÷¥ . a fE÷÷ . - 6=+2×1 It ,w ! = , res sgheuibe ( uoucoutenwteihuufieuo ) b) distance dcms ) = RT , REM RTLR t = HRS 'll SEA , RTLS or REN Rft , t ,2t - l ) TER s SEA S ( u , u -2 ,- Zu - 1) MERRI , ( uti , u - t - 2 ,- Zu - 2T ) RT . o follett ) t ICU - t - 2) t 2C - Zu - it )=0 - 3h -St - 2 , { RJ.ri.cl#tlIu-t-4-2C-Iu-zt)=O/6eet3t , I G t= - Zut 's Tf - he - sfzut 's ) -2=0 - duthie - Sg - 2=0 7- ie.mg a- Hq , ; to - Agt 's -- -222¥ '- Ff ammo del £5 b R calcohorei denis , = RT tallow finite • Date n fxy : lot 't t.pe ; s :{ Y -3=0 2- = It - ¢ 2X =3 Eth a) positioned ' hes ; b) distant ; eq ( eventuate ) piano cheque n , s a) initio : runs C I ostituisw " are s ) f ?? - O × no intense we ten 5=01 fsghuubea.io . www..io . . . . Is : 2 modi f Y - 3=0 - VT LMT 2×-32--1=0 MT = ( 2,0 , -3 ) VT IMT Food . Histone prod Scolari i j K app : Fs = Miami X = U minn . 10 1 01 cameuodimultifh ) VT = ( 1,0 ,} ) 2 O - 3 H . : In - is =m÷tilo÷Hl÷l ?; ⇒ nes parallel e x. re riff . nisi : ' ÷ : t :: :* d In , s) : scelgo RE r determine Ses , t . c . RTIVT D= HRT It = RT RT . ( - 2,3 , 3) R -11,0 , -41 dcn.si . HRT 11=79+9 = VE Ses , S ( u , 3 , Izu - Is ) piano : f- piano per 3 puurinouallin . IT - eg piano won uupuun ele RT = ( ie - I , 3 , }utIz ) nonviolent :÷:÷÷÷ :* . . ' Irish : :& % iii.iii.iii. ÷ 3h - 3 t lgu t 231=0 =- 68 - 13g . took = C- 6 , -13,1-9 ) tyre = - 13g we - t - 6 ( X - I) - 13 I y -011-9 (2-+4)=0 - G X - 1341-92-+42=0 • OI i pole no cesare farci di fiaui ( aveuedo gie Zfiauicouteueuh ' s ) e iuepone che il farci routers esse u Co we suo puerto ) s f y - 3=0 F : a Cry - 3) t f (2×-32--1)=0 2×-32--1=0 • OSS : MI = ( a , b , c ) a C x - Xo ) tbcy - yo ) t C CZ - to ) = O Eun prod Scali ( a , b , c ) . ( x - Xo , Y - yo , 7- to ) ¥ : :* . Me kill it I esercito : determiner l ' equation del piano IT container ref It = , e Passante per D 10,0 , -2 ) Cades , aeufasciodipieui . -- I • es : determinant Position e he distant the ; M f × = 2- Z IT : 3 x - ytz - I# o Y =- 22-1-6 ptomaine , 2- t . re : HEEstelle it : ni . . Is , - i. it I vii. f- I , -2,1 ) That e htt mousouomultiph ' : i vettori now some parallels ' ⇒ retiefpieuo would I Ren , R - 19.61¥ guoudo : VI. Ittefaq3uatf.tt = O ⇒ net sow parallel 's C event . RCT ) cerro : rent 3cL - t ) - C- Ztt 61 tt - 1=0 Of = 9 It → rented dcoeit ) : scefugo REM , aalcolo : d ( Rill RC 2,610 ) IT : Ox - ytZ - 1=0 Xo Moto la lb ! Id d CRIT ) = I hxotbyotczotdl - Eto = I 6- Gto -11 If atDeterminate Veg della superfine Hence che ha Centro well ' intersession di X =-3 - le re -- f ! II TER S :{ y =-3 - u NER e noggin R =L -2=13 tou b) position di § C sup sferics ) e IT : x - 24+6=0 c) position di S ' e ai Xt 1-22--2--0 N . B : in b e e , describe l ' eventuate iwtersesiowe " ans f out ' ft :I E- - a i - t = 13 tou 3T = O 1=13 the he -12 us - 4 us C t , u ) = ( O , -4 ) C i su n Cwu too ) o su s ( court - 4) C ( I , 1,1 ) eq I : Cx - Xel 't Cry - yet 't CZ - th ' = R ' ( distant e al quadrate ) C x -I ) 't Cry - 1) ' t ft - 1) 2=4 Tty 't Z ' - 2X - 24 - ZZ - I = O b) Tty 't 't ' -2×-24-22--7=0 gueaudo d C C , IT ) Is R { ⇒th ? ? ? , dcc , IT ) =l¥ . fg.rs > R ⇒ IT esteruoas ', tf In 5=01 . • ) DCC , a) =/ A -11-1*1+1.2 - 21 ¥7 -- 1¥ . 2%82=12 → IT seuauhe S ' Ins 's cineoufereute b { who ryaiggio Weg . cartesian f X' try 't 't ' -2×-24-27-1=0 ! di b Xt y +27-2=0 I i distant ( Cit ) --I.- e - I :m÷÷trE .EE .! Danko di lo : e- er internet della perpendicular at pence IT I i manager .am I :÷ : " " " " t distant ( CHI t-qzm.gguout-E.FE.rs ! D centro di to : e- er internet dellypupeudicohareakhperc.ee/g&dinetioue=mT = ( 1,1 , 2) t : f ! 1¥11 VER thx Ittht City taut 24-2=0 ATV t 2=0 ✓ =- Eq ↳ It 's . high - E) =L } , } . 's ) • Scriven l ' equation della superficies price di centre - ( ⇒ 77¥ . ⇒ : determine .io . I ..-. R = d C C , IT ) C proprietor piano tang ) I == fs.rs # S ' : C x - D ' t Cry +27 't Cz - E) 2 = 5 • punto di tang : " difficile " { In ↳ St Ms ! perpendicular a IT per C e internee Mutest↳ mephio cowie piano ¥ .is .. an 's:{ I . Inner ' RIAS SUN TO 11/12 → Socio dah ' i puuti C 11 , -2 ,- t ) e D ( O , 1,3 ) a) Saivereueieqpauaeuehice della netta per Ce Di b ) Scriven Uu ' eg para w della neeta per D , parallels all ' ane x c ) Cakobau ha dis tonite di C dalla tiseltrice del Illvghooh del piano YZ → Date notte re : { III fer s : f K - Yt Z - 1=0 C hgherwbe ) Z = Zt - I q X t y ' - Z to = O a) determinate he position Param . 9 cartesian b) Cakobau he dis toute ( a memo del cake finale ) C internet 2 fieui ) iodate n f X = tt3t s : fry - 3=0 C parallels ) y = O TER ; 2- = Zt - ¢ 2X =3 Z th a) position di he s ; b ) distant ; eq ( eventuate ) piano che couteau n , s eremitic : determined l ' equation del piano IT RIASSUNTO MHZ aouteueute re f It = , e Passante per D 10,0 , -2 ) Cades , aeufasciodipieui . -- I Ides : determinate Position e he distant the ; M f × = 2- Z IT : 3 x - y t 2- - I⇐ O y =- It 6 C parallels ) IFBB Determinate I ' eg della superfine Hence che ha Centro well ' intersession di X =-3 - le re =/ ! LIFE I TER S :{ y =-3 - u MEIR e noggin R =L -2=13 to u b ) position di I C sup sferics ) e IT : x - 24+6=0 c) position di S ' e ai Xt t 22--2=0 N . B : in b e e , describe l ' eventuate iwtersesiowe *÷÷:::::÷ ::: In :: : " .