M137.assign2.sols

M137.assign2.sols - MATH 137 SOLUTIONS TO ASSIGNMENT 2 PAGE...

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Unformatted text preview: MATH 137 SOLUTIONS TO ASSIGNMENT 2 PAGE 1 ‘—’“.3—*22'[ To She—(ck The CK‘GLP‘“ r3: inC’X-E) .w-a. oT‘cm# mIW‘HM 4. \Dwn‘c equsk a: Tomx ’ 5cm“ 8 \as i )aMc-k sKug‘r BAKE) 115-: ‘5 fight. 3-— =3 3‘: "V1. ‘5 msfi/t x $4 5‘ “J ma 440 Fm 'S(’¥)=\12.x+3 1 $0“ " 7““ : 9W5“ 5%! TS' kg: 3’3» wok Wain domaims. . (9.”ch = #05003 = J2 3mg; = ‘12124, 5 _ same 2561.520 Sm w 3C6“) : 1R. . ($000: 3mm) = QT“; 1+\ = “*4. Sin/Mn. (2,“; is cLagungaL gm amaze , 04, ac» ‘3/2 . 03,5 = {x\X>z-3/271 .m Hap). o (950%) (x) = ISO,ch =’ \EQJZOH3 * 3 , Sxfiu \JZw-S 30 Mkh'kném) oakongO-A 2w55o , 132x843 >,o cu: W. m Dgog’ = {x\ Xa—BIZE . °Qc3033(10=%(3003= (XL+01+\ : x++21cz+ Z , wexzck 55 MR“). gm a” 151K , 5(va x"+\ o-QAO 9x043 clownqu \R. _~___ {00% g;ka ‘Q‘Q-U'Q G\°M&~W\R‘ f6 82*- M13ou. M02 To sTcux’t Lo't’r‘n \I2x+3 ‘ mklch is 0.6513 chx Sax x3,-3/2_ KEV mam 3C§Cx3\ (am mug m agglong gm {5 Mum. Cement ; m onhj but1 9w (1M (30900 ‘m-me ‘ZX‘rA MATH 137 SOLUTIONS TO ASSIGNMENT 2 PAGE 2. h; 3 ..-1I"L,o Giuen the gcht'tv-n -.- {Cf .LS i<o , . t t >/o a) Shack.th ‘n-G-MP Swen“ ‘1 Q Iii = '1'.“ (H o ‘5 t < o a t 1‘ ‘L 7/0 W b7 Shir—LL CLVOH- e gmoTLm VGA ~ (IN-0. Chm Sum rah 1's fun/Md cmed t=o , and flu x/oHaae MW 1’0 120 V. 00013 60 mama. 'hine lhtflAUdfl. F'n £52,024, Wt}. 2tH(t3:{° “0 ” 2t 09554.0 c) 3%1Lu Adm is W max t=¥s,wum. HCJc—"H so H Mmains O umw t=?s. To Damage To (00 \I. cum 95 A. we need. Q_ &Uneo£AlOP4 4 WaungFfi}. T‘RM = 4H ” ’ o 7t<31~ VCQ 40’— ) a?“ i4(t—?)osts32. V00 “5— F 12! Shack m 99m» ‘1’“ bank Taph A5: e“ as 2»: scx—e‘“) we 5121M- mark “6‘ 9¢°w M§D\\Du.>$i MATH 137 SOLUTIONS TO ASSIGNMENT 2 PAGE 3 w eugm 33(1): 3+x1+TomCTT7</23 ‘ use-m —t<>c <‘- a.) Fug”; we.) a get a: {Rs}. liken, 5% m mg: 4‘ g") gm): gym) : 3, sl‘nu 3 6 DH"): gmz’g. So we mh‘o.‘ Suck Tha‘t’ gm): ’5 +al+ tumor—2:» =3 , -l <°~ 4“ , :3 301 a. :0 Q\,131 if.) §—'(3) =0, 53 Funk Hymn—‘33: 35 ml Cmufloj’tém Jam-Uta " 0: = v . m ‘er domCW'V‘U? 5' EH C“ a: 8m- “ (gam- nwgzo-g 5) we. mama 5(g‘(sfl=5 ) 5mm “mama s (5 12 (AM To fin: [(wa wfin‘cL com CWV- gum MKQOL 'W. _ 1 (.1 < K 3 ’ QMOL WU. 'Hu. 0k!)th ea; g.\ “5 1E, ma 5 “5 [k R _ 4 Tam-#281 um wish 'to gm; 5", Tm 1‘00: "' 3“ i—e" . Shmtkmfi%;m% .1: 04nd LA by» “u .Lc‘uflce'm, ,5 = Hex %Lues H35 ' “ex 1— has SDQOUKa IC‘_e—$')= \+e3 Q €$(\+-13’1*‘2 magi,“ ea: X—t . n 13: ::‘-:‘»=:§A(K) 3C+\ SEAQQPLVSL“ Trfl shetekdna 4:5:ng) and, a: {(30 . FLflaffumafig §(X)=‘*exa “IFLfiWGPkSIMA Wade/Bag“ m arm a“ 5”. m mcow DCH am R“) x %‘~b-#54‘ 30km each mxudl’nfi 8m 24:. Kay \DEA : Both hub) and. 9.“ me mamas.th MM dbmmns. muss a<9mu< 5 =9 e°‘< ec'm<e‘° '01 ga<u<é ,ga “>0> “Al—Q c<eu<oL =9 ch<u<end gm. o<c<d. no 249n3c<9 -==> ez<ac<e9 B3 ea“?! >4 -=D BnCez‘gd‘)>€m4 . C32. 2-31>cv\4, c1. X< 2‘244. MATH 137 SOLUTIONS TO ASSIGNMENT 2 PAGE‘f— sum S—Lx) Wm“ "“m‘ LL do ’x. 8,213 QCMGJMJ 21;) -’ O ‘ , ,, ¥‘-b‘*5°§ Soiue dadn ¢c§uoffién 85L x. o.) aha-3‘? = O :9 eZm—S = :F =P QOHB : CA?- x3°<x0¢§° => 2: = syn—3 _ «6° 2 5 _3 by e“CS—2x)= -3 => 23—29:: (3-3 _—_.p 23:: {age-3 ____> 1 = #26. *5“ ‘13 2x4: 3 =9 WWI—S) = 6,8 =P(x.-5)%Z=C’n3 =1> x=S+€ing/a,‘2 b) Q/w'x+@n(fic-L3=\ fhx's‘m W: bow x>0amd~14>o ‘ Le, “mu-L . {(9a) =b Qn~(°<('><-\\3=1 =§ 'Xz—x e (Wponcht-O-T'ln53 Sowing: x'IZ->c—e=O=pac_= \i: J|+4e . Burr x>\=> x=l+ I+4e ll . a ; ow . Z ‘ 1t 52. a3 enn(€vvr\ :\ =5) an'r = e =‘b x. :.- ea (-fionMm‘Yth/wcs twig)! ‘0) ea“: Ceb" (oat-Q -_—_=1> asz-QMC + bx Cw‘r'xgenéxfl=€vxu+9nv) tC>o. =I> xCa~b§=€mC :1) ac: QMC/Ca-b} REV man OLMOX e(-) 0.11.42. {—4 gmdlbns. Tfijs gummm 1110* l: ._ .. ‘L kl =b=§eq=e a—b =>6na_5n5c§’1&£L'leanJHDa gmqlbefli’. MATH 137 SOLUTIONS TO ASSIGNMENT 2 PAGE 5 ‘1 L4 "if 60‘ C1933 comma. 30.0% , bmém Mensa QCCMMB To QCH = Qo C I _ e’t/a) . wfiere Qo is mam. c‘AO-ngaa JCS” 5‘ . . _ -t 0-7 To g'md ‘HM muenSe) we solo-e 9a. = k—e M 8m. t. -t/On _. Q =1? 't Q D e H E 3"?““6; => {—mmO—QL Wwfiu Sumac—“(Sn (s £(Q\ _—_ _ memo ~ 7 WE We mu Q?» mconchs) 89 "Th boltmuj To cutting/x change Q . 5) F01“; capaétt'm To redncmge To 61:907er =0.9Q° , Th new L5 ‘13: —QQII\(‘—DI93 = _Ck : a 33 (1:2, FM» Tm ks L: 28MQO) :2 +505 seconds. ~ \ H—sbn 9 + L— Saws 2 1 . f L O - s {MGXx +S‘M9\ \ - 3 W13 (0519 gwcefiosng [muck gm 9 1; G?an 1 = 2 5239 = «HS; MM ' ' ~. = mm C "x + :13 4* 56—?"N’e +1” ‘Mflg +Mx + TOMS CDS'VQ 605% RHS: pimCx-t-fl) ::_ pim'xcos +CDS'X5Lmtj ’ o'm'x +905” R c135): Cosxd -co-§'>< c1053 ‘ oos'x cost?) [Valid gm x¢L2MW~ri, gaéczmflTT/Z] LHS I H MATH 137 SOLUTIONS TO ASSIGNMENT 2 PAGE 6 “\ 999%de 4’40 Flr‘jd aflvanmc 5g 3:. u; [clan] Sans'ggw'xca Ecosx +5v'n2cx =O_ qu'vxq 1h domb—h- (Ln/\qu go'LmulO» Slim 2« = 2&an (05% '9‘ QQDSIx-i QSMDCCDSOL=O t=1> ecosx C \ +su'nrx3 =0. mun bO‘Ph cosx=o and 5.31:4 5052995111 «v. M (LO/NY}, cosx=o 1% sz/z’ 31172 saw“: .[ Hg 3c: QM flu oohflldus am. «aw/2‘ 0" 1:3“7/L- 57'3. Ft;th ail ac fin 10.2“: SoiLéaggéncs th'x g V; _ ya .‘S 91—- IT we. 100.6. Safer-n Wu. g‘mph'flmd Son 950A [0,1fi3, Saxons 9; gm. 05x53)?“ ,amd5lf/éxs21r_ NOTHHCA anx H J3 Cl verfiéoJ Mu-mptbtn. M x=o. Fm‘l‘kfl‘snhq ex~ ‘ —-? -" 0J3 X—D—CD) m recn‘paoccq “Lu who do 50- quufi§mu 0,401.9- W‘Q’f ‘Sth—L ail is W MW'“9 fihe MWDCCLQ " dxwm.) MATH 137 SOLUTIONS TO ASSIGNMENT 2 P AGE 3'- 53-333 Shack “@apk 5,8 ,5 = “xxx-d , STmflfic‘j Llex a. bask. {wap‘rm 9fch ‘Hfis (g a Akigf [in m #8 m 3 we. guio’r SKUJ‘CR'TKKQ (maehs STanhan m-xfin %x Gth .___, Lia‘xl ‘1 y a l l (D ® @ . , 1 x x 1 I s I L5 ='QM.JL ___’5___9M‘x\ femiprocd 3 me x>o Vern—cal) b 33%;); +— 9mm) x<o 4:ngij Commen+: NOTE 11/115“ m . _c: 1—71—4 glues amok Stu“ ‘33‘ L“ - - wfld v0.9.“ 80x Q=MJ—\x-‘\> ‘T-o flu 1013‘” 5:91am limo d3 gang: \ “ BUT. -. fin. UM We as gel. .meé- 2.‘ ~ , L EC.) oshétdn 15=$tm2x, wt guwf mot m2x= CI—Qszx)~ 9‘“ we Loud To shack 5 = $1?an 91(1- CoéZoD - So we. defies: 8-593: 1 ‘5 ‘ ‘5: c.351- wad' with 3-.- cos'x l: i , I Scafle ($‘m‘mk3 b3 2 [In x—domalén MATH 137 SOLUTIONS TO ASSIGNMENT 2 PAGE 8 OJ ugg’THL idm‘rn‘hj SGthdfi'fiH: Sand CDSG ‘CDSd (0 I To wig“; fina‘r dose = can (1E-63- (7-) RHs (2) = pt'mflg: - 9 '3 = DMEECOSQ —— msCE-v sim_9 : 3% (0 = case = LHSL2)_ 53 Use. L0 and (7-3 “WOW CosU—‘HQ =1 cosAcosB-SMASMB fibLu—Egnz .Tfidnh 5% l9:PHB {MC23 , can-omca casCPH—Ph = SUV» C 1E - (Pd-833 = st'mclg— A — B) ‘3 Shag-A) cosB - (1330121456 9.2va 5% (1) = A cos B - Sm<§—<%—A\B some W, W“ bLé L2) bud L2) Lulfo w'xfin 9=A 9 - 1%-A -: CosAcos P.3— sLM A 50“ B ,mmctwdfl ' - . l E2. 0.3. um‘sln To ail no.0. 'X. Safisggmfi ex< 8 l1. Swim- e}.3 is a. monoToruJ-tj Aluminum of (-)J| ‘0 we. Jpnxow “Hand: e,“<e. 1 efiz av" 15" '3: < 13—: gxm'mfng flu (Knaphs , u». a“ HM"- °¢ < 1,; ‘\ 3C<-.—\ ‘ i \ Tex-4:: e<e/°‘ {<8 ac<—\ R {Ker noifi'u t reafignfl c5: __ __ .__.. _— ~ . V1 Saw/Ru em>o gmaJA (JéR, w—e cmciwuch 5L3 e. ) . . ‘ , ’4 L—- /<. aALuwC& ’8'.— < ‘ ’ an e? 7 4 1 Vat b L‘\ e l < o m 14 x M C" Mu Sui e <\ a“ co<o 31¢. 1‘32 > H 1 ouso CouflA $o\ue oc< Vac as U) ac‘<\ génx>o , Lu) 3(— >I Smac<o. MATH 137 SOLUTIONS TO ASSIGNMENT 2 PAGE9 E23! . \ U09. quS‘n To [lamb Hng. C‘uaxx’tfifis 39""2' , 23 29413 3 1.01“kale Q COlCngo-I—QA. To do ’ wt «nu-o‘- unitn. .oJJ Hum. fa 'Tk' 5W3 bGAP-- Hmwu Two UJHS To do 1m 1 U) (Lad/15k hue e: - - _._ - a chi . ecna em; :1» 39ml“ = gens 9m? , 23 =1 (5&2); = CS‘QMZ 9: . 2%3 ___ (68.4)“! = eemZ en; Since 2.x (5 a. {:1 8chL6n which u‘nomwnao Kimms) amd. 3>f5m3J menu‘ko semi: em3-%2:29_n3 < e3.e,.\z = 23_ 3 ‘ |:€-, 9mg“ omz and. boTk wu. 1.1.150 Than? . l 3%“2 = zefizgha =29“ Lfiamsm‘ = 29"‘3 < 23 Su'nu %3<3, 1 ha 103 {‘LLCCS ,, .4 .._v I I ‘ E—Z—Igzp-x‘n ‘3“) 9% wait” an 1k. Funnth 03‘ '1: How Sly-«U. mgiw‘egammm Inf-michQJ-MBL3 ‘ am = U30 'r Act:th A3931“ «ohm. 1MB, ‘5, mu. (Jos'thLH. Candast ,amciuu men \5 is vaxgfién. o (—0) “) Ssh“ fine depth will be apos'LT‘W-e 3 t K““j.+A nmbm, we shall mm 30>, A, 30 . ’. - and slee‘l‘ok T‘ru. opkas (LSHW 9°- bcaJuL (Lego. 8t uo'LQD. medicare o-b-owb 3:5,,cddk ' WW (Nefetjoucwlddwose 9? We c) Suugss‘m $33k tides occwu 12'12 {\OW 4‘99“ 3 mm wag“) 5 r Hs'm‘ - 2.31. 2w-25" 3:631" MWuQ u; B M i- E MPQLQA 25 HP” emu Aas'flm ‘ampq'mJLM‘ , 2,».sz 50 A: 4.5m. ‘90 To meapune 'the 64mm ogoom, 8M1 , we fiw'fo Akift flu. *Imepriam 1:5 amarmuwn+ 45% 1'0 flu: how. ogfieefigk’rté‘a “(‘7an (9'3 9.9 if “MA at 5am; HM rut-d won woufld bc 3.: 3°+Acm03 0-5))“; to>=5.)x ...
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M137.assign2.sols - MATH 137 SOLUTIONS TO ASSIGNMENT 2 PAGE...

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