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Math 4-51 2 HW#4.
3"+ ME = 0 “we W01: R/m.hAL.-m3»— h-m3/AL
-“ ?.3X'/(47/310): (79-
The generaL soLumn of y”+ M235 :0 £5yd): ago; wot + bSm-wo‘t
-—" Rwstwo‘t— S 3 53 (9mm \wkme R~‘J_~‘a+tb‘ omo‘ S-‘inx"b/a3(0): V4 and 1570): O 2) (1:47, .b:0
J————~
"(449+ «9 COS (F644: — 0 )I: yoOSIZ‘t)
Hence, 3%)
A
frequency We 2
Perw‘d To : Zl/wa : 7L/(l,
Am-Ph-ME R :
Let am be the POW of the mass may frum theelimibn‘um Po 5&1va m: ‘t
The, gem/mt sebum 0f ODE 1153w): c.e'“°+ can)?
((‘)):~-L ’ -- “ ’:‘j 1+,1jf0)- ‘-> C.:L+—-’C~
Heme ,3(t) : LT’Q‘t_ (fite‘t : I
:8..._L
A't 't’% ; 3(5">=o amok 1:3;SULM‘HO“ ‘fiuxt sa'tx'sfu‘g 39¢ ) _.
1‘5 1‘59 Unfit
0. So this‘ WnSfig, mass M“ wevskoot its eqmi‘w‘bn‘um Positionancfi. 0n “(7K2 «TH/LILY WHOL) 1J('t)‘>0 as 1- -—>oo ,Wku'h means flu mass MUas taco. :3va back ‘to eqm‘tu‘bn‘um
all- = alt; ’y/(o):-'
SOL’MW .'
L91 Y<s):£f\jct)7f. Tahwfl‘ LaPlaco, 'tYomsjm/m «j: ba'H“ ms
13f 'er dw‘fievent’mt eitwfim gives
$1Y(S)- 5 +1 — I[sY(g)- l]+ 4&5) : Sl_——-—-‘
1' we WP’WQd by Lemmas3(/Voficz that ~0?3'<t>3 and ify’lt»
and 4)and m‘Plx‘es that
(§-E)(S‘l)+ tYm : MHammad”
LU+C<54X§~L)=(s—1)rs~l,)+ pIz“, 5:: =>A=z
Tkeve is also an attevmfive, way to do 194%.30%): A8th
is 0L wavy 80o0{ guess of flu: Pmm‘ubi sotuhon‘.
Thus. 32+):2Ae” omol y"u:):£Me‘t
4Aezt— Ier“ + 4/49” :81t= ‘_ l _‘ I 1> A - ‘7 -> HIP-":81
To solve the cmeslawlw‘xfi Wjemaus elf/um31L IUI+ 43: o
we more that
r1~rr+4=o :> r.—;,W[ 1+TM: general SULMMA‘ of 13”“Pg/+415 :0 is
W = Cue.t + C19,“:
9 3‘“ : 3W 3" -‘ "ELBHJ: C.et+ he“
1jmzl and 3%)):- => ym: 1e£-—'€‘*’°___u2 2ye 2t
MMarat: I do th recommend this unbss gm have trwao,
with LaPUue 'tmnfsvvm.
4'
2L3’; 231+ 3 = tat; 31(0) =0 , 370) = o
W tVWUJIflVM ?f 8'6 LS‘ )l )
by onPevth L
Then, we 0%:ij Jclxe Samsz nmtkool with Last Pmblzm
Szch) -— 2$Y(S) + Y“ ) : (Ml—L