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W07ExSol

# W07ExSol - MTH 140FinalExam W 0 1(10pts(u llfil Sor^tiD)4 A...

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MTH 140 Final Exam W 0? ( So€r^tiD)4 A ) Find the following limits. If a limit does not exist, explain why: 1. (10 pts.) (u). nthk t ' , . 9 r 2 - 1 llfil - "--\$ 3r * I /e'r. Bx't-1 Bx+t) r+ 'Yt 3x+ L rim u+1 277e9 E"+-6 {9r2 + r 2'm. 3*L , =^4r*- /2-e @t6* /+'a t7/e o/o = / : ' \ f t x - D = 3 f Z ) - L - - 2 . *, -lt .a!&22: t'flofi.tuaA 4ule (b). a#frh, * + 4 -r,@ = ./|to.- l-c -e - t 3 ,&; t'Hoprlat A 4ole (c). ,&r' M#'kz ,4rc /,)b = 2'm- e (Qf"Uilz QW+a) tr+-e 2Xnn /* naor[ Rdpea,tad ?fA'db.v toa'// mo,t zlZtam< ,W 2 (ttuta) .. 1 - coec l l m - c+0 t SfnC .h'w- tr+o tyre % 2 L-tu' 7 r{unv) (t+csx) t/tc du&/<4/r4/'n47 | =.&'tt-u />lrl f .:.h'p'- rlnx = K+ e fQin X)( f +cos y ) '(2o x(ttexx) =h'u'-t 44n(:) E A(t)(t)=y'2 x+ o Wt //rz) 2' cf)x as^( +Q5 X - x4in x 4 T : .hln F + o ,*,*fu'1 ,l,ftfi|o/ 3 t rW .&,'rtu * + e X 2/yt'n (V)qf/z") /y|n X * +- = t E,* /r'tt*\r *+o t lt1'-o rz ninx +*a;y

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MTH 140 Final ham 2. (20 pts.) Find the following integrals: f w2r (a). Jffi* /!rt ,oc. ,tam 1c -) da = rYeL( dY > J c'c3 - - t r c _ i taix (b). / sin(lnc) ,, J r /e't ,tt --/+tr 4./n = q ( *^+ p(+ = -co9,?L +c = - @A f'ln{+C' J
2. (continued) 7L (c). I x,ffiax Jo ^€(i .a( e f.+ L ) =) tr -- 4(- L MTH 140 Final Exam afiz =a(V 4 = g + 4 = t l .1L=,t + tzc.=\ e nL, 9/r-oot/r)dr-t A - t ) f u , & - = J r L 4 + = t;t*)-;"(%\: n ) 4 = * rc'E - Z( ih) - "/, + 2/3 = 4r, - I n .# = % ('JL + t) lx-11 p

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