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HW_1_Solutions - ME410" Hort-wow SULLLTION =¢= 1 £1(a...

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Unformatted text preview: _( ME410 " Hort-wow: SULLLTION =¢= 1 £1 (a) GIVE/u; dz :0 w/UL BC. Q ’(o)=3 .(o) 0W ~ :’=(1) o? (4) F/N0= (’0 (QM—amt“ ODE [2420/ when: /x A ‘l/LL/hr ;.dm’lVa1/b1$& M [M 1‘r'm0a/1L (ya/1611’! {W [/1156er "flu/1‘06 (IA/I'M 1’64 (6/. '50 /X 0&2“ = 0 => d ‘-' C4 0/ I ‘ 0W . = de => 04 =Qo<+C~L —C an 'I 8C . ”£0 AO/e’Z/C / C7 and C; I @ «=0 -. ’C0)= 3(0> = 3 GCO) ”2 C — 362 (3 «=1= ’=<4> a? C4) —=:C'Q<4>+Cz C4 = *bZCZ -3C°? = CO‘ZCq _C —C _C 144.07) GIVE/V: at «of =0 with BC- G .l(4)= (1 drx d (2) F'IND : . («(3 i ‘ 02““ (your ODE. firmer ' ‘UKAA inftmig hula wflh meat i0 « I at o< d = 0 .37, x . = C1 => , m d M I = C4 d --—’> CX = C4 UL (’X 4 C2. « 1' our B. C. 1/0 503% or G and C2 If _‘ «= 1" ’(4) = (1) . We (4) C1: C"). C? «=2: C2>=1 gamma =4 mt 51:61 awe) +C2 =4 C2 = ’F = 64 LnCZ>+1 'UMM C'x)= Gin («MG (x __ 4 W + 4 Ln(z)+1 ULCZ) +1 — (X = Ln((x> + 1 - .. -_ I *4 (C) GIVEN: d’u FO.SM=’X w/{JL BC 3 44(0):? Fwo : (Mm) ‘ soZa/c {/12 nonhonmmeows second-arouf- «Quay euad/oa I whuc flu, mam/(L ”awe/1 A}! [rum b ”MC/x) = %H(«) + %C’X) 1mm _ _ 1:) hon/Iowan“ Swazi/0’1, final roaQ fiom chwaa’adflc (WK/Wt. %”—0.Su=o a» r’—0.S=o r 69‘ = cosifflw/nflw) 6”“ = cos% (00 ~ szhfl (96> CONN UJ’X +sln¢f(ow - ws%(Fo>()— 5m£( 0M MAM: HQ 003% 05% + (CFC). sm%( 05%) T W ’70 = AC05%( 0-5'X + 83M ’ (/VQS’X LL) : hat/1W SOMIIOI’?’ :25 l-Mgofj/"g/L H am bC rid/cad Ma}: CL fl flea/(cw SWIM! “Hm w/a Mk4 on #11, mm: - M (90 = DIX + E MIA/Ht [W D m' ’00 0 «Ma/e r cation? 2) and, E; AW back Mb ODE M" '— 0.5% = IX 0 - 05(D'X+E)=9< ~0-SD/X—(J-SE = ’X (when ~0-5’0/x= :1. D=‘.2. —o.SE = o E =0 {W MW): 4% iii. 40%: r 60 " "ac/1‘53 x4 and 8 Wm 8‘0 'KM) = W (X) + um Mm) = A cosfl (40.5%) 4 Ban/f (My ~ oQ'X WW6 41° 0 4m A=1. -/x=1' 'u'=_0r ll 0 «w: 0~S/A/élh{(W4+ 0-5 8cosf(0-S ~02 8 = o? — 0.5 $1‘nf( 05") 105 £054 (4/5?) (MC’X‘) = cosfi( 0er + 0?: 0.S_/_/{(05~__ s:‘n%( 0.5% — 02¢ - 4530M ”5 _C #52. GIVEN : * k = 0.045 W —d' M _-V _= 9< —- I l l 1 IX! 10 07’! F'WD ~' I ’ . across {he WW (we T'bu/fer’s 14w: "’N, = — [2 dT 6” A $5 MHPf/O/vs ' Sim 15161132, - n0 mic/rm! Mai amen I‘D/L rme wood ' Ami Conduafl‘oa 0 a7{, Sm wag Me Alone/W6 ”:12 a Wm, M ' ”Ca/VD - F t 7; ’ 7; ’X2 "(X4 "yno chm In C 4,}; cud ‘D ”COND = — 0 0+5 N (‘ 35 .C) #0 Cl’MM- II7 ' K m K 0. (”I _ IZONO = + 75. 75 W (‘50 {hart/Ii _( #3 GIVE/V1 _ wv m %= 02.50 w/mm. {fl 2w, 0.9 A. 702:7;wr175'c -' A '7 s = 700'C 'ff '0 F7NO= ' Con and a MD ‘lléouv = i4 (T-7; ' = £50 W onoa .52 _4oo'C—7S'C) W-K .. “20w = 4005.5 m 4w .— '/;/QAO = 6,40— (7-54-7511; = 0.6] TTX0.03m xJZM 5.67X10'3 W (100'C133K)~C15'C4273K>4 m‘-K4 I = 720w I / _L\ #4 GWEN: -‘ m MIM- e = 0.85 .llMIMIVAu 0’25 W sir/firs ‘ 6mm v 8m IIIWI'IAIM m = M IIIW— "M = 7400a) Ass vaT/o/vs -. . maot Com/(0004 ' Mai 'I/anSCr rum one SI'OQ 0 . f’ ' t ’/ l/ _C _ RAD = Olaf/FATE '// _' (AD ‘ 6A 6 7E1]: 4 "‘ mpg/{4 4 — (251210293 K)‘ ...
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