homework_HW5 soln

homework_HW5 soln - serifI'D! ( Ther(f > G'-M-t~' V'l i...

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( Ther(f > G'-M-t~' V'''l "W.(I ;,,1( H .) wh-ei e $OlAl\6 '! , de v\ dp cdl ~}f C \ \ serifI'D! C vts,e. ~, 1 wI ll ~ ll ouJ t~Q. Y\ ott't11 o ~ M"t~ ~ + );e'ok. . ) 2/ 0 ""--' A 12 r ",-&e s, A e 1 k ~ -l- ts e-~ ~~ x 'X ( JJ ~ ~ c e k, C-j e- ki ;( ~-- v 2""1 t. I, :0 ~ Cb t'\di flOfl S (k - ~ kiT 'l ~ 1<1. 'L ~ 1< - A - . ... L :L - -'> e =_e +' /3e --- CD (LJ?JI c c C>. 0- - 2 z. J ' '\lJ . d (~l .' =) _ L dx ell -'£ '" (». 2 _ :' kIT %e Z - - • 0. . , \~ -i ; kr ~, A e " Ike (i) c c d~~_ _ 'dx 2.
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2. " A f> C 7 C
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Now 0 = )(+1 k x=- ')x 0= ,(-II = 2~)( = z~~ Cd~~{t-)_(~ - ~) ~'10{1.) ] =7 ut~4)" LP_~) = c.J~"4.) _.!- -at-/. .; 2. ~ 1. J ( eo«>."4- ) -{:t- t:Ii. Z Sb~ {i - ~ - Vo . '. -l:L Oc = {it 1 ) 1[ + c. ~-I { £, '-6 ( m, -= I ) 2..) ~ . . . ) -@ (--------1 1Vow .f-~ de -ttl'*,; Ae -t~ # of allowed r= ?
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de1et"l't i 'led ~ . bl - ) . j f" .H.1 e ex, e . +~e ~1\1tr ~ c~oV\ k+weet1 :tk.:>se. ko tWV\-c-+iot\ S . "*' 9£- ra ~ GYttpt . ~ n +- k ' 5 Or~r~ / J 1> 0 <Y < 7L --Y 'if of "l!owed E I r 1/ . '" , \ ( "dv u eM we +~ "fr°"-ci. ~ tAr ~d\x H +. (let- Ae. 31>rle rescJL-i:::. )
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( 1-/-22 -; E +CM E = I W1 V'C Cl.l- 2-t:\J- - (i) 7 =~ ~cw ~ ~ ,>' I -¥---:r;:- ~ E- .L.-:,-L-2;. .~. .L~) o -;z. 7T 2- ~UY - [ cot t = \1 ' V\ft V () c:8. .:' . _ ~ 2_ L-~ "" C ! ~ y-c:: - ~ co t f.. WlV O c:::\1>- ~ et e ' 2-t\L - 6b.O~ AS'- f ~ I wi f C( Z - - , , Z );; L ~ E ('c,V"\ -rh vvS ;vt we o:--\-- f /~ h ~~ 1,e> ' ; :) I I L
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o. ___ £ \ - I, 1.3 -=) E: , -:::: 2 , q \ >( I O-~ e V ~ 'r-~--t-- __ --l- -£~ :::: 2, 1 ~ ::; E;2. === ), I °1 x \()-t e J _ (2" - ftv\ 2- ~. C\ "'- ~\ ~ D ~ b.
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homework_HW5 soln - serifI'D! ( Ther(f &gt; G'-M-t~' V'l i...

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