MTH 140 Calculus Exam -Solutions

# MTH 140 Calculus Exam -Solutions - MTH 140FinalExam W 0...

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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 ' ,. 9r2-1 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 = /:'\ ftx-D = 3fZ)-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 llm- 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+ 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 2/yt'n (V)qf/z") /y|n X * +- = t E,* /r'tt*\r *+o t lt1'-o rz ninx +*a;y RyeHub.CoM

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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 rc_ i taix (b). / sin(lnc) ,, Jr /e't ,tt --/+tr 4./n q ( *^+ p(+ -co9,?L +c - @A f'ln{+C' J RyeHub.CoM
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 = tl .1L=,t tzc.=\ e nL, 9/r-oot/r)dr-t A-t)fu,&-= JrL4+ = t;t*)-;"(%\: n ) 4 = * rc'E - Z( ih) "/, 2/3 4r, n .# % ('JL t) lx-11 p

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## This note was uploaded on 02/06/2012 for the course PHYSICS 125 taught by Professor Carloss during the Spring '11 term at Ryerson.

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MTH 140 Calculus Exam -Solutions - MTH 140FinalExam W 0...

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