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3 - 4(19 pts Given the partial fractions decomposition...

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Unformatted text preview: 4. (19 pts) Given the partial fractions decomposition 3x2—3x+2 _£+Bx+C x(x2+l) x 2:2 +1 (a) Compute the coefficients A. B and C. 31LJ33L+1 ‘1 A .‘. BK'f (— _.-‘- xhk’ul) 7‘ 784‘ 3.6-3-u2: A083“) + (WHC) (if Put-330: o..o+2 1 AU) -r 0' a: A LT: 2 3xz»3>x1-2 :. AxL—r A Jr EKL* (11' 313.3“; .. 9‘th C7. + A ”a: '0' '5' #- Hfiiftij A—Hb: 33 M523 :9 LB—J a C — ’3) :.> C:-—3 3x2—3x+2 b Com ute () p I1c;!c2+]) 3x732141rrx_j(3_ + 332;.) 41’ 1(15') ‘1 1H _ 2 4.ch + (1:10” 7L J 1".” /"' a H 1.,» l , 115411 +_-(a__1__fl_d1_ —— j #0” '7‘ #41 7““ = 29M|t[ +;[__'-r" —» 3 +mv:('&] +C— j_ 'J : 13u11]4_l._ m|11+|| _51com‘(7u) +c. ...
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