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soltn3 - Homework 3 Solutions wr l"b a e Xit e f = Ax 0s...

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Homework 3 Solutions w r ) l"b a. e Xit e*, 0 s Y a x € elv- uJhor e- d'-sti;b\,i b^ , f(') = Ax Vs*5 c h Jo x"dx - (a) I So (0 rl' l\ I E ^ l t r x j : N L ^ f q fl 3 probat; ii+l as f"llc us r x o J , A x d y . l.eot f{x) as ^ i,.uat 1o noa/.Al ile ( " J o ' 1 \ ( " ) d x = l - r f - ! \ / \ t X: N Jr,, X nLx) cx X t ^ - \ . - r , \ ! X : Jo11 ,'{ l[F ) cY : x l"z hauQ- n(x) li"lt{i E---T--l = ) i X . 3 X , I b) Io F le,ns toe fi.st ^LLL F F = J^,, x' f(,,)Jx = ,l !"( xta* I Y- : r,/ Ya "ff1s WO i:^, -To f','J f^e (^acl 'vn 0{ aln"-.g eacln sta{e r"te. usL K"e flax t"rcll - fo.,'^n,.,1q. &*.b,n''.X uquol L",^, ftOtt) a^a ni = B6; e-E'/kr ttlup- B tacto"s n, ror | - kT = (8.6r+ xro-sav /r).{soo x) Jf tt hare N a'{o*s , t(en. V.c cot's*a^{ fJ a 16.r'raiita{, o"' c,t" sh,.,t a,.C olone V.. !gqgv\q,6 c1 atL all 5; = L 3oo( t^tt "y) v L + v J { \ / n o \ ^ o t:)1, ,i )' 1 : H t { Boltz,.,'ar.'^ (e3) E3 = Q, tgV E1= 0.1 sY E r ' o = l.S1 rro aeV . .0eS4 eV B is c,a\e.r*t,w8a, f llor.
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N = n * n - { 4 - : ' ' - t . I l t f l \ l h e l r a c t ; ) ^ ? + A l ) r ^ S ^ | - t , / n ^ t " / t T g L e - . e a e l.oar3 6 :) $: i,. sta{e i rs tltr .oroo t ooo,tl 3 E ^ / E t I t - N / t,oar Jhus f, f^ f3 (u) E a / ^ t ^ - L t l z r , t t \ - e ; / t r t i / ' i l N = 8 5 r " / N = l l , o t $ / e I ) _ \ o = [|.oarr/ 0 =) l,= o.qy = fi3\, t | \ [email protected] ( H,r'rJe r | , -o,l/.olsq lr';ir) e {]=O,oaoS =
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