Math_138__Assignment_4_Solutions

Math_138__Assignment_4_Solutions - MATH 138 SOLUTIONS T0...

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Unformatted text preview: MATH 138 SOLUTIONS T0 ASSIGNMENT 4 PAGE 1 £354 - 2,53 Shack gram-u soEuTLéa-ns ’ro .= 25-3: tug, a SQope. gawi F'dmr wiuatduaz lz-au‘a- EHD' RE .Id‘rx/z =98 ‘ga‘mfi ‘x tau: 15- 3<xxz¢3chmui-3 5 "Z I iwwemam 33%,: Second Mama: -.: 4%-Zx-i d2 ' 2x+\ 30 ‘9 3’ -z,— (mfifiu‘may 1 ' I emu-z :- dfip<o ‘3' 3< 2—2;" (memgfl check 8: 490:): 15x43; tomagmsasowgi ,MdZQCx)—1=x+Ji—x.§% 3=Lx+l is a spectaQ (a: Sea-L110“ . 9841” ac) Log wish to sum. napkin; Shkmnm ’ fir:- 50mg Md mm M arm 8m. s (1503—0 (3-2.). 3:7. Fm? um. not; HAG-“I d5 =0 5": I a }3‘>°3=° {km cunues 361 (39»;an gag 0.0.13.1 cuu. 0.156 «‘0 - soLcJuéms ‘ Notn.‘ . 70 '5 > 7— % ls i :1, 04.5 4\ <0 .Ig {330‘4B<2l H 3 5138 i5 511114-13. 1S ‘0’ W3 = [53.531425 8, %’63)=3‘y'&_$3+2 . 373) >0. “a (gm 58:0: 31C°3= 2 >0 =§~ umst'aL—h Mb‘!‘ NoTe kc:me He=\, g'ca)=—x<o==> mflm aging-5m are =2. , gm): 2>o =1» msTafln. up“ Sketch- d“ MATH 138 SOLUTIONS T0 ASSIGNMENT 4 PAGE 2 954-17530) 3% _—_ m-25+x-z = Lac-23015143 avg “Ma-W'- AGO Bay) 5"“ 5 ‘2'. “‘8 a (ac-233 *- {vb-23 « V...- W 3- can . ‘ EU; aCx) 56x3 ’3 m slew-m (BOTH) I '3') d—lj- : exl+31 I: 65" I as sepaAOJJA-QA W M W *—""'" . Mac) 8(3) h {3” = Tau-n Cat-Mp is ne'IT‘n-u mm «mm Jim;qu NoTe: One. Goad-d tau-6 MpomAQMk “Magejd aim-es: " 'lhmfifi-g): 95“£**53 = Dwmm53+mxsbnn 0055*“63 Gas xcosgashxsflng Rowan, flu; dunno? animpligtj TD éflku. We... on. aqua-nab}... (Scum. (9‘34" 4°“ thd- CL. w-Pmamfiu o8 soeufiko'ns 8617‘“ DE. Eg—3+ee’". wnmm DE on grandma. awn- % + g= 57'“ _ u». cult “EC-x) Mdnmaj £(1mfigxéfi 4, L5 :35" \e 1%*_%&3 [aging TEL-’2‘" Moxdnwg cfimxenfs r3 5, u». 8m.“ d__I_ _ I "tocafl’f. camcma %% = x, a. sepmxa‘oen. DEG?“ Syn-{God‘afi mm: 1 f6 rad" MY“: 2: , :1 1:6“ . . . _ (Sukphst £01.23 ‘VM. mngmafi DE 'bcd e," %u.b-tb éoc % + 83,9: 931: , m 32(8an = 23’! ' 34x éfificxlc-Z’vaoa u.\_r_fi:'x) “gag... Q‘s—43,32. *C. 8m '5) 1‘“. SO\u-Tl.én &G.W\I\\\j 'u: ,3: %€21+ Ce»? ) MATH 138 SOLUTIONS T0 ASSIGNMENT 4 PAGE :5 P34- *5 e3 Fw‘xaL a. 5“-me W erg SoLul—Lé-ns égs flit DE 95% 3 {H 2%«3Tamm‘qr. (IND) s Imuaio. was; _\__. = 5,12% C059 '.L. 9m a9 Fiat-3&0: mug 9‘ ’5‘ mgg=a+23<3‘ W030 Lattice: cosy dug A“,ij 1 End 3-533; / fiwfi jinn-deh ‘ 5% s:LL19a{rumn'wf...“x #:3ch ‘9. Qm-lsimel = QW\‘J¢\¥2-1Ifd-U.\ a. mug?“ dad-ILL .. ‘2' Z _ «9AA n 4.2651719 1. Q Gm}. 1>o) ’& sdwgc‘né: \s&n%\ a ecmvcflemfia-C: ea 131%“ . C ' sting - =9 3c-”e"°‘—_-1<-ac""”"“ ,mao. Specx'all canes: 9% Tarmé =0, M 15 == mTl' ,n=o.l,z,.... TM fiuJu. mwfingvm}fl no. 1% soiuTtS-M 8:0) if,i2fi',.... {fig-50, 954-4 5. scewm 5.3%ng amt—La; YaluLPrebJum: °~3 gggzcuo, 3m=2. QkiSI'saSEPARABLE tbs; Fm 5-4::3, Jigtéau = Hugo: , \‘E, 354% = SQ+£3=U¢ , \ogCWofiYmfi-Qflfi. W -_‘.5 : 1c—k‘éfi-C‘ , 6'11 bu‘uCMfié'rg: -_-_-' "id—— :5 thaw, Maw m Mal 33 (0:2) name, ' 2 =' ,m \+:+C‘=fll'=bc‘=‘4 \+2+CI Mum upafi'uw SW «'9 2 néCH : 4_£292£ MATH 138 SOLUTIONS TO ASSIGNMENT 4 PAGE 4 9543.55 W4. m§sh F: solve. 1h; I'Vp %- 1‘s: = {21- » W“- TCMLL CD a. ‘Qduan DE Lam-WM Jhanfi garish; -—‘-d.x .. Ifix3=eSot Semflgfia, Wuxmae-omnfl M DE ‘ma if (m Mean Mn'f mama) tau-t ham. Labs . .— x a; 9213‘ in ’ filo-JD * "£3 3nflcxmjt-nfl .aquTo Ix , low: Sign ‘ Exxz + c Kppflamct “an EC «fitnal , Ar; = ii’rc :3, C EVP ROLE) so\'—‘ (a. PSA~* E ‘33 UJA mxtk To guhd Wu. mmbtacnml mat-LcImLm c3 flu. 5% two-ma) wah iufimfln sah'ngfl-fiu DE. 1% =-'Ia. thce 90' “h?” fi® W fifi‘g’i (Sm 12.4103, we. iamoua Thank 8611M. anthofimfl ‘D'xalkactmiu: ,flu. DE will he. ‘5 33:. Cu-sbi'nq 3309: 'M E = Li :sJ‘ “a” 4/1,“) 'Sapma‘lfivua vans: % 65% = x I 1- %:nitK-ml'fno‘ Luv-1:: K: 55. = 1:.+C. u. 31—x=2c=5',50.5. %c‘<0, ~ mgr/ugh) “oh: %so SQ use + 34:0 da 5% 3‘0: “‘0' 3°l‘a qu‘U-U: am. 1%: (WAT-.641 Stope§ Drafted. " " Hag-=2 MATH 138 SOLUTIONS T0 ASSIGNMENT 4 PAGE 5 964-40.) fikom'fiaa} . Its H xuqx +b§+c’ “mm a}; ‘l§_(aa*b?*c) Qucomes o.me DE. “kg-dds, "L" 9:221: armada m a» g = m bog -_ M b 5Cm+bific3 .Mbgcg). ow flu. “(z-MW DE. is $1“ .a.+b§Ctd3= Amt-3(3) r5 Ao<>=g eg>=mb§r3Ji 51 use fault: am To Some ’M IV?“ C‘) fi—Esfin—a‘)‘, 2C03=21 £24: 5-:- Mid. so 3:“: Wu}: -_— u, nfit’ufixfoh szpanaxm '11: M ‘ 3‘5 a K - 5+Lt" 33¢ anflo‘fimhwcj Infra Ix: Ila-T1- : I101»: a unafm r3 = 3a + c. How 2(0)::‘2. s) (3: 04-2—3 =~k , L." a“): ‘3' .'. warm C-n "4 C u '1 C: "1‘74 Thu: n5: twat—M} , amo\ m'mu 2215M<+3n La.) 2 =1MC-x-1T/4\—oc+3' PS4-‘HB-438kam1ha’tffi 5:: 1““ MWDE an income- Wan DE in 5L1}. & 9592': = a: 2‘-“ =5: 552 ._. (1—1-3) 15"“ a _ 8.1: we dgCUI‘Jd TM “5“” DE “1 f; 3* CW“ #3 woo 1““ ‘fim ‘ -h , Substitute. E 2 = it can». 4.9m?! 1 c566 , 59., $73; + (“hypané = Q4910; luvan 4 99x): =<$(x\ z“ 60. 5) LL51 This: CM To Sou». TL: IMP“ ans ('0 1d: Have,“ 2413 2mm. Run. “5’5 ,‘so PM-Va Thins-L mu. 13s,!"la 15° 93:..3‘fifi4’3fi , @szthngE: {“fsfi4. %2"’5 = a , .‘m'm 434 343,, wake-w- —3%+%%=3’m%_%%=4. M swag. (Sacra-'1 rm, e§“§“=e*w=1;. a» 1,? 95’ = ~f§1 “Wm-A gram {we =9 Adam? =9 zufi: (mew—3, 4 . I'C 203:4 =9 £9046a .=pC.=O , so #33? . PAGE 43 MATH 138 SOLUTIONS TO ASSIGNMENT 4 PSAJF9 xflu CQm'r-au’t Ec‘uafibfl. g:- 303’- ‘ZQIY". (CHALLENGE) 00 To Shem.) j : x1 (s a. soiu‘hbn; “W! = 75' , MA was: x-zx—gm‘fl‘ = M. ‘0) To Shaw 3 '— Cx- fic‘ {.5 a. sa EH5 = xc _ fire" (5m 32c) yzxz '= Cy.— ficl=j=LHS. ' . "-3 The 990* fieems "Co WV mack. W is Tflgfi' '3 5:1." , {ed-Pm. bah-Wuhan 3-:— x‘ (s m‘envdope'fi Wu y ‘Vm 9’8 Sohduam' s 3:Ca<-%c2' " & I i A) 11a: Lac, a.) ham PM" % (“Mathew x .3 (Bani amol 5: (lava-c7: Than ‘33:. z = _ 1’ q 7- ' Xe C’X-e fic— , ['E_ («o—%»=C), y=cx._;11C2 flwm Mme”? 03" «5:. C/z. cu my: mom ,‘r‘m 1591392. 12% g = x? (5 2xo=QC/2 =0. = #2on 93m 03m 3 =Cx- it: I ...
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Math_138__Assignment_4_Solutions - MATH 138 SOLUTIONS T0...

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