MATH 294 Study Guide 1

# MATH 294 Study Guide 1 - @91 O'H‘Dﬂohkox Pwieckfoh S...

• Test Prep
• 12
• 100% (2) 2 out of 2 people found this document helpful

This preview shows pages 1–12. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

This preview has intentionally blurred sections. Sign up to view the full version.

This preview has intentionally blurred sections. Sign up to view the full version.

This preview has intentionally blurred sections. Sign up to view the full version.

This preview has intentionally blurred sections. Sign up to view the full version.

This preview has intentionally blurred sections. Sign up to view the full version.

This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: @91. O'H‘Dﬂohkox Pwieckfoh S own; C‘V‘HAOHOYW‘CKQ IbC\9€S begmkbv‘ SAA- L OYHW'JaOHakh} , RM?“ ‘, UmH: Vedrws) @ Twa vac’rwg 2} ml 03 “m 12“ we Could APefoﬂditu‘av-H or “mkhoﬂemﬂ J )5; f7 a 3 = O [0) We‘WeNAer/LOY‘ mmﬁmkwia mr Norm) 0.; Q ved'vr :3 M Rn 35 HG“=JMGTT Cc) A vectw I; 'm R“ is. caHeJ m vvm'vt wad-w" 74 Ms \enSW‘ 1g 1, De‘g‘eﬁrhw 91.2 C Ov+honowm§ thro‘rS) We, ved‘w‘ AU?! [31, " ,7}... 'm R“ we; who! oY-H‘onwmmau R; ﬂu, avg WU UAW vui‘ws owl Othoabnoi «to .0“: another ; m.x.:\' *W J 10 a; Air , 3 Ed: €15 (?m(;evtivzs 01C 0Y+h0novmm§ \lemw) @ DrthwomaQ make»: are 92"?“"13 ﬁnhfgmdmkn GB) DrEMMWKQ Veubvs E/m it?" 'w 92" qu a lows of R“ Fad? 91.4 ( Or‘H‘oaonmSk WVSQCHIM) EDNA”- 6‘ vedur 2 ’m R“ CW4 0 3“ka V °][ R“ - Thin we, Com NW‘AL XA : Y?“ + R. «L (pﬁue 72" Is In V (WI YJ- Ts WVWJFLHQV tn V, and 6th rafvahig WWW. Th6 Veﬁb‘r in is calla! ‘H‘e “0VJV"‘93°"‘WK FUN/Wm” 94 Y on‘t‘o V , 008%ch by @0wa). The manw-mm Tc?) ‘ ijvc?) ‘ 73" fm 52"“ IR” Ts Umv Rut $.15 (Rymvxlq 'fwr We, OY‘HMjonA Pvujmdﬁbn) I? \l i; a gob;me 0%” HZ“ with an ov-kkznavmug; boéis I: Km , thank —-\ é ._\ A a,'-\ WV”) = F?" : (J‘wx) u. 4 »~ + cum-Mum ‘F‘Y an 5? 'm R“, Raf ELK (D \ ._\ J. A n I ' nyAw aw orthonormoxu bash U1, a). u“ DJ;- 51 .TLU‘ .3 -\ .4 A .3. _\ ~_\ >< : (UHX) um + (w ><)L\.1 ‘F‘VI’ “u i ’m R“ Mﬂcibh 9L7 COanvSom& (pmrkmﬁ) CmﬁrU/L ov Subﬁiﬂxﬁﬁ- V of; ”2". TL?- \‘ov-khcsvncx/Q Lomriemevftp V‘L o-F \/ 73 'H'VQI SM? 5-? thvse veihVS 3? ’m [an WAX org ovthvs’b ARR 4:0 0‘,“ VQVEDV S 4» MV: V‘L={\_("1I\}RM: -§(:=O,-Fnr MISMV} NOR? V'L is Hm. kermx a“: Hm ovtkosond vau‘cm‘uvx on‘\7‘0 \j Fact 9L8 Lywwﬁes 0; Tina oﬁhogvxmﬁ “W‘QMVJCJ Consin/v a magma. \} sf £12“ @ Tiwe wwoaomx «Willem v‘ a»? v :5 @‘Wm Macaw of v «no: \/i mmts «1} (9 d1m(\/)+ diMCV‘L) =n @ Lv‘)‘ = v PM 91,61. WWW?“ mom) ‘ Consider +0“) vec’mvs )2) omv‘ E \‘n l2“. TM 990mm“ .3 ”xiii“ : “fir-«- Md” 1 Wok 7;; E“ and a we orﬂmg‘mo&i Rcf9‘1.(0'(An incﬁmﬂiw 'Por ﬁxl ”(Kimmie 0% Pm‘VO?)> Cms‘vlev 0\ Suqum V Wt 92" M 'Q wt» {9 m R". Wen 11%;;le s m m WEN/“k 15 RA ‘2 “duty T¥‘F A X is M V. Fade-1“ C Cancky- 505M“: '!n€%huQu+y) H 3? and CE W. veohws 'm' R“ , ﬂew 12.31 s ﬁll ”an ~”“2 Stat Q. min“: 15 On" €%U\O\YIW 4‘; J“— ? an A ‘5 aye, {PAYQI‘C [ . DQ¥>MN 5139 (Avglb [verb/Wm we vedovs) (mam tum nmaavo Wad-w: S? are! 75 m R“ . TM W‘ﬂli 9 We?” Mr “9“” T5 Mimi M .. " i i 9 (”5 mun l W“ O 5 9 S 7/- (I Pm}; 4.1.«at A“ Ck [‘b M , M -, § 3 PM = v . b , c, (,1 ,e, L a Suck Wk} thymbove three vevlvrs we OY-tbohwwxqq SDQ: *x‘ _; a _3 :- ,1 x I _; A ¢ .3 e .4 CV mommy: llv.\1= 1m.\\=\mu =1 % 0‘ ' z = 6: ° Us ; d“; v 0.:0 (Ll-WV + {1 '— 1 ”(D V ab+ A + 4% c 0 ~63 1 7- 7-, . b+\+% ‘l—Q bc*Q—4";‘3'—0 ~© c14214i=1’@ ‘9 7 whom; i L 217%; .9 1 .Fm WWW chow; 'o:o , Mu «(a C23 '9 33: o 000‘ “Q: ALw'A‘Q 1'0 Pad 91.? , we. nu} h #nA Cm orﬂﬁuhmﬁ LIMIT; ”'5: H0» Wdﬂfkw 9‘70““64 ‘3‘} 0‘ , ‘3'; . U3 , Thus, (,TAU;$4 Me, PYFMOITmfar “'1‘ 2 aLMMW #1 >4 14 F f X f (5 5L Xl/ V Cl/ ,. + h. 3% {L K/ 3.: Pmky 31—3? M «w. S'b‘: L . CanaTJer a plum v 'm R} 54?th ov-Hnomrml [MAB 3. .723. 12${3 be a Vebhw x 0‘ vector m Rs' 4:?“ ‘1 “Hr-uh 41“” W rmflemw i263) a? '5? Flow. v . My) I 2%(2) _ i‘ w have?) = (Li-w» + (xxx-MM :4 Ref¥<.?): 2K<ﬁw§>m+<£v§>ux]- X -\ A A “ '4 = Mumxﬁim 2(m“><) w - x PY‘ULD.5\1"40 N45, 45 :3 l; U ._\ A _\ QWEM : A = [1; q )0 NERVE. 03 = \y‘ 0 \T{ 6 {R ‘1 90 4“ J Ma: Q Hm“ (a MSW, 6n ‘bzbﬂ‘lm \i '3. 33 ® In? 4 In u @ FLU? (3.) \ @ PV’U‘VCU‘) ﬂu»? V = Sftm V3: , 3:) A“; A—uzﬁ‘i 9 Hair-3 Q) -'r @ k:$7. ”E; = ”.82.“ “34“ W8 93.3 :> (113 = 90 = 3m WSSZX :> 625: ("S Li‘f) 3 . A. 1 .3 .3 " ‘ —x ~_\ A n ' 0 11mm : mm uJﬁan) =w‘ "1+ ma 01 + mu = 5 + 9-54 = .1; 69 a. A A A Fromm): (via 0.) Uh “We a» V W “‘9‘ ”ed“ // 3i 4 ._\ I I): "" U). T ' 0'1 ”—3“ L“ml! ) “mil = (SL0 31.131 ._ i '3 lliu’ ‘1 h @ Fwd, LJQ NRA Tb ‘F'Ui on °ﬁ°Vﬁ°MQSZ £0315- 0? iv = 3?“! C ﬁ’ $§> —|- 31 ‘3 (Id? Uh : :3 t ”L um 3 ”3 ._\_L _\ __\u .3 .3 A Q A [a .5 1 .A 90; \‘5‘3 = GA'Ug = Ua-CUx°I\h)W UQ‘LEUV’W) ‘5 “‘0‘“ng A a4 3-2:; A mt «Lg; 3 = “Es-L“ : W = W": 0‘4“ 7L L(Ws“qbz)“c\ﬁ”’q”lﬁ) g4“? ‘ “Cu {71.) 4:; A ALML'\‘ A / NW3 WC EOJIC § u; / ﬁg} Hm or-Hnbnrwuﬂ b‘L‘l‘S V? 'V‘ A A A A 4 .x A }>lu\!,d(\7.)=(u1.° d“) \kL J” (M; ° W)Us a —‘ o; a A : gang—g:- + [—4.637 ,4] W30": 4" ‘ 4 / (T): We): 9* Lil-L35) A a = 7* 2+ -2 q : i; [A 4| m ‘ 17 m @ 3““"Mg1. ea ma an M a» wommﬁ' basis 01C —\7‘=s{>antii ,61) ‘> .3 fa * =i - -‘i ' “0m 43 .3 —\_L~—\ _\|| A 8“.) A 1°A>L:_\‘£A a : 0‘1- 01 ' \Tx ‘(Vh°\fz) UN 01 - (43 z. 5 O; 3 x)". in : Ki: 31KB : :3 ‘TEE: : Am ——§-T}I A a : g2(\)|°3$) Ml+a(uz°kﬁ)U1 ‘ G} T} ? ’E-EQ A”? 5; :m; >mn—L—) a? a '4} >-_ i, «J; :3 a? 104 01-“) 4 5‘4 —x : 3;va 5 WV} .) - 03 & A _\ A g 5 ' a Gram ~ S(\« m} QR, R/DKZSE, oma QN R Foch: y] i—m‘kd h RUE 581-1 (TM GWM— SJMTM (Muss) (unﬁm Q bksTs G. H 3’“ of O. SukS‘f’OvUL V o-F R” . Fur j :31 M ) we resume, W vwnr a “MN “is (.ompanh PMAUM and pavwwckéw‘mw 1-0 1L1 3mm 0% ﬂu NbCedWa Vedw . Bf 3i" -‘ A '3 ” 3 i ‘h 1:6 c 3 f? ) - : - Au ‘ W t , , ~~1 \{5 j 3 \mt SFQL \ .J Then A 1 a a I A .L g , "‘1. _.\ _ 1 -—¥ 1 ’ T . 2 = .3 , T "K“ (U , , m ‘ A U U“ “M U ”milk ‘ ' ’ ”‘5 mi“ J “ kl Mu M 18 om ovlc‘nonormﬁ bush 0% V . 33 Fun”: 1;. j. ? , we {we 4 L A .3 ‘5 A ‘3 __ Q g 3 - ‘ ~ = _ a , .— - - ° U: ‘ VJ OJ 0) OJ (u‘ L531» M51 J)J( EX : r l _\ a _‘ 1 G‘W T‘nr'o] ) Hwy: . “[1] L. 0 L o 3 Fwd : om oy-mevwadl basis by Grovh— 8“"th W002” l {1 "s SDQi J] : _.L_ E 7. .L O : 1' 0 ”V“ l o I ‘ LO A rH. ' L‘ ’2’ Uzi=£_:3gﬂ UK‘LUu°0L>EN= Lil-([0] %])L 1! \ Yb‘l " : ’—l-—-T\):'L: -:- so : ”‘3 m 5 ’ ‘ l L g \A {:1 (:1, in? Is um avﬁowmayx ‘DMKS ‘ Fact 5.9? (Q? “’{actcvﬁmﬁon} CowsToLo/x. an m mu‘LV‘x M witlx kwij ‘M—lpevxckw't Comm”; 3. 31w" Trim ﬁlm/e 75 cm Mm morLLIx Q Ldﬁqge Columns 1?ch K,“ {we orthonowmﬂ W‘ 6m MPWY‘ manj‘xlwl-mdmx Q we; PDSHWQ {“03de 6mm; Sud‘ Huck M = Q R T)“; qunmﬁv‘ 75 um M _ 41wa h CO MWR & 2‘ R IN BN3,“ 0! ] vg V\ C“ [‘4 r) A .2 ——a 9mm, M: I: m L)‘L Um] (ARer ’3; 6 R“ W14 IF. mm one mewpﬁ (“anﬂ‘ﬁj MC we, {ﬁlm 1M ﬁvom— sc‘AMu‘d’c \Womss, , t‘rxrm : A ._X .4 VI : ”an W .A A. _\ Q ._\ V1 : (61° U3.) UH 1- 1103'“ H). A .3. q _\ .3 A A J .34. W“: (UNVMUWUfNU‘MMM 1‘ “ + (Umwo UM)U‘M.‘ 4' “UM” UM ’Tkoxk Is ‘ 1 mu (M) mica) I A A A ‘ ’ IE 0 MM (396) - ‘ - ._x .3 __\ ‘ z m M IV. 0‘, on] W w W“: 0 £ 1 Q \ A .> (umxvm) ° “ e um “MS, 61R 'foc’m‘ghﬁvh is TM. Yesvd’c A; \E‘rmm— 5%th poms; WM form, Pt“: 961-34 RM (m ovihohovmxk boas- OJ; m Kmmﬁ of MQTYTX A=[li SDQ‘: . $715 , 4-“ "9nd flu RMLQ a}; A ._\, A§:° 9 k)(.+)(1+)<;+‘(-1='C’ 130+sz +3XI, +1qu to chase Y3 , 3” M «Fuzz wmueg. X. = X3 +QX<+ X1 = “QXS‘iXQ {an 1mm 4 A {X3 X3+aXu I [52 ‘ ~ % = *1st w, .2 + xw [13 V; 1 D xu M D \ “in, h WA W mﬁonmwd hum of . +ww‘ & in fem; 0-S- III; 934] mg 4 MA) :’ Al 7 [2/7) “‘9 [-4/5 ~—\ ‘ \J‘L - a I -1/ ‘ (A; .4 . ‘ t 5 will 43a: 14/; J “ l PYDL). 15.3-58, . o '3 0 Final QR gcﬁHh—h’bn 5% A 1 [ 3 DO 3 0 O 4 3°“ Lu "Cw—[El , ELLE] , inﬁj ‘—37 “J- A All A A .x Q 0‘ vz=m‘1fa‘ *‘W‘WJW‘L‘ZJ -3 r-l’ .3 p 4 “2 mm" 45H ' {SJ L 3 L0 0 J. _:. Ail .A ._\ A .3 A '9 A = D m = mm» = v; —< um. «WW: 2 _\ ’ Q4. ' O ‘1‘: 0; [A‘Ll UK; ta 2 ‘ a is 4 LI 3‘ A A VI:QUI "Q 0 0 g . FAQ—A7 g‘ffl‘xwzfor; ”3;. 9 w. v.1isj=A‘L""“‘“‘5J“Loo j] 4 .J \f3="r'\/’\3 M. 9&2 44. (Hui-la,» Arum/x MPH“ MnkCA) 4m 1; 1% Alwij ”553% to M1179¢£ A‘QR ? 53‘: ‘ \. , A A -‘ ‘3 N 7 ‘ ' “0» ‘ Anmn [1). kn 02“] Mine w 6 K" mth “MUM <M mm»: A A \JI VM we noT’C' L'weale ’IhC‘JWMW-f . 71mg, Hum doeshzt “Rt 62mm (oh-k ovHV) nmmc& (Mum n5 - 4? § g' s oeraonmg {Vans‘gbvmmﬂthg a" Cl prfkcgcnwg MGM‘WGS. 04mm 5. 3 1 A Qer 'kvangnmodmn T ”Fem R to R is Called “ov-k-koﬂonuiﬂ i-F if PYESCVWS +32. QUAKE“ v? vedovs : .x X ‘IITOUH = Mu V- c- IR“ Q 11r— TQM: A(X) TS om bY‘ngqgnA ‘tmnyﬁvmﬁmn / VJQ qu ﬁmt A g; an \I \\ oY‘on a may mofchx 0, 130d: 9331 C Mhoﬁomﬁ 'tmnﬁbrmm’tfbn‘s .PYQSﬁV'L oﬁhosbmﬂﬂ} ) an-s‘lrier 0m oﬂhogam& ‘HOW muﬁbn T ‘19va IR“ t‘D R”. 1'; The VEUbY‘ G and If) M Rn we, ovﬁoaonﬂ§ / tke‘ﬂ 8° OWE TCV‘) A Tug) Pack 53.3 (Orfhvjonmx vamsfyvmw’cﬁmS (AM ovﬂwmovmaﬁ bases) @ A tVWr twws£~¥mwﬁbn T 30”,“ R“ Jr! R" W3 OV‘HNSQMK PP? «(ha Vechnr‘g 7(3) T032) , Tcé?) Irma cm armband m: a? s2“ :9 An nxn mmhix A is "OY‘r‘noﬁonﬂxh MU} If; columns ‘me amvo'I‘HVma/mmﬁn buﬁs HE \R" ' th €974 ( Pygdudjg «ml 'Inveygg cf OY‘H‘OCJDAA maxh‘mﬁ) @ The paciﬁc}: AB in; ﬁlm) orﬂﬁmﬂy mm MOAWVCPS A 0m) 3 *5 0rﬁ°1°““1. Q “Q 'WNWSQ AA 0': cm oﬁHOfBano‘Q "Kn rm‘w‘x A 35' (WH‘O 59n&\ WWW 935 (nonsm, WWW“ W‘ *Wﬁmw“ ”mag Cons? v cm mxn maxim A [h The, {MWSPOSE AT 0+: A 73 Hm “ﬁx M“ muh‘ly whey ij-fh ant“! ‘5 “UL JHL‘ WV] 4 A 1 it We vohg of YDWL omol wlmmns ave reversed. Q1) NE 56“] *M 0» SEAW’Q WJWX A IS “(YMWW‘kHL r??? A1:1 cw‘c‘ A ‘75 (M164 ‘ngQW-gfmw‘gkn‘c ” 41}: Aw I ”A 7v? A 33 ska”? SYMMe‘k/ﬁc ,ﬂuw GSVQ dragonoxk Cuhie§ 05: A We 2M0 Page 534, : T A *3 v‘ . A; V ““4 vO we W0 CLOWN) vedm in IE ,mmn HT;- \Two = U m Pad 56;“? Comm“ mm mm Wﬁr‘xx A : Th2 “‘an A :5 OHhOTMSL [ff ATA :1“ CV, Q \A‘Vden‘tly , 3* A 4 7 AT Rut 95$ ‘ Camden 6m Mn rmthx A Then HUI 1tvUDW‘h3 gﬁhmvﬂs Owe Giuivdévdc; ”‘1 A 15 orthosamxg? (I?) We trany-fiavmodmn LUZ): A)? (named \enﬂﬂm, ﬂoat .s, “Hamlin V ﬁefR" GM?“ alum“ 3.; A form om ovthanomﬁL bm‘s °+ Rn 0”) ATA =1” W) A" = A1 Rd 933(vaewﬁes 0* “NR JC‘W‘SPQV) ‘6‘) 5C Am? 5'. 8.1%!wa / thvn (ART 431747 .4 b ‘ * ' U 11% Anm Ts Mue'vhb'e , than SD R 7V , and (76‘) ‘ (ANT LE) pov cmx/ vvxoiﬁv A, Yank(A) :M'nkU‘U) théﬂxio (The, wmigylx 0-;- an menoﬁcmﬁ QVe-Jedii‘“) CMSMW a Sub-5PM}; V "P R“ wuk (”9‘va MS“ u' LL “m ' We, mrt‘cﬁx + The ovfhgmd} Pw‘fdﬁ‘m 13wa V 35 L A ix QQ‘ (AMYE, 8 z [ Mli 91 I ' [tun] WE SIS ‘7 1% Am st am we. ovtwawﬁ) IS W 0'*“°‘1°“‘& “ “e"? :95: MW: EA" = BTAT : (A8? a (Am—”(AW \‘--.\_,,..-3 -\__,,. ,3 \7\7’,/—’ YWPQ'ﬁ” “'AiB Wyn-{res H RAB) Y5 ”khag‘énkg ‘I ‘-E- \MQVSE. our: avﬁnuﬁonoﬂ 0% ngnsfas‘z A=A‘ B"=B‘ W90» , +Mm 1 '715- IQ. TA A.B we ”MN/M19 and E Ks inuevklble SDQ .‘ T T 1 (AB): 3A, ; BA 3? AB 2 V 4.12;, Pnpemis 9.: A" 01E tmm?332 (5‘- ET PwE.€.5‘9§ 15 BUCHATJBT symmkxc" so? /’ K.» WWW 4 (May: Amy kWh/6‘20“. (WOT: CT ewA‘! F3 AB symnddrrc_ ,3 (A \3) isW—t. Symnutng V \ ‘B LIV/V) 8T 15 I [BcA+A*>r5‘]‘ = B (AWN rs‘ = MAMA?) 3* : MARIAN? symmiui (_ PWL’ I; 3 ‘7" AVE, 1W1 VPNS w; an GVH‘Oﬂo'M32 mﬁ‘thx ' A wlm‘SScuUj oYv’rkanoWk‘QO “Q 3mm A AT — In \ ilk 8: AT [I 3 ‘ES 'uolmmn3 ‘= Na vow) ) 8TB: I“ 9 [3" = [3“ 9 B Is lochonu/Q l.) ’HWE wab D A MR CY‘H‘OHDVMKQ ‘I VJ). 955; 9; J/g 1 r 0 N W m by: K Ly), J L \ SW: “CCU‘IdHB *0 7‘“ VESWH; a; PML g ‘s 51 Wit T: [AEX “hue, G‘ ode. hm! Ved'WS Yr: 2 Fly} _. ‘75? [ S 32. 1 MW , j» 1 '/s ‘3 ’ a} \f\ / Oi, 0’; me (W‘Hwnorde $5; 3 is Cr-onc‘omgi “m 3, A Va “ 2/ 1 [ﬁg] 7, % WT Q‘$3 : V5 J/1 7“ 7’ )§ f 3 ; /H [73 3” V3} i/sJ i) —‘ z U-l “Mu L9. 35%|] .Lo _.\ ‘3 J A: \'\J1= W‘GS_ L. J. {IA/l 44 43*):‘2 .4 ¢‘ flu —__. 4995A :”'+"‘" 3 "‘“M I i . “35L 255*thl‘s 35“ 353 ‘K ‘3 § L :1. O _. 43 .5 9 T: :L _‘L All 5&3 35 '3’ 3. g _L 3 3: 3 M). 515% mm W m A , w cm W) + awwm) 3% r A C ANM ‘- Lﬁ \$1 ‘ Ohm] 4mm: The p mm; 4 3. «v 3» we kwrl’g ‘WWMJV 2 m“ Ohm “WAN : P 41'_\' a v‘ Wt”: Lonﬁm AT)? : E; =) :gJ-r‘g : _ 0 “ﬁne x e I? 1 i ’ 'BLLMT‘J Sx’nu. M93 P vadms 915 E” .v T}; we meﬂj {hWoLm‘g H {JV VAQOMS {>an P Qtén 3 avg- AT )7: ‘6 ova Liy‘lou Qj IMckLiYhuiX’) NWCWV, 76mm we vx unknowns ‘ Thug *INDYQ, exnﬁts WP We mums m M MAW = M’ ole'mAH + om“ (MAUF P + N? t V‘ 4, ...
View Full Document

• Fall '05
• HUI

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern