examF08Sol

examF08Sol - M TH 1 40 inalE xam \ F q 1. ( 3 p ts.) (...

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MTH 140 Final Exam \ FOrc Qg 1. (3 pts.) (multiple-choice question) Find the limit Select the correct answer. A)o B c) -- E) -1 Write the (capital) letter of the answer in this box /washer nded by t Na l/= ti^ QD-@ llm {Je-l* - rl "* ni,n x (e177 t)= x+@ o/o 4't =, h'r*u 77t€'l t'tl-x+a q /tr- TctK n/x e -L 'Ipl )m @ Use the he region Ya 4D 1+ .,lrc'rr'<- Xr@ = -&'*- xa@ ,n "!* = to find the : 13, the li bhod rve'u )r met bhe cur f disk boun 2. (10 pts.) about the y-axis t F, .l - /'1'4 lf = o 9 )o = * It (t-rdv') aa = x volume of the solid obtained by rotating ne .tr 1, and the r-axis. r 'l^ v= [ nr7tz7 Jo ', Z n ({) = zG) -r&a) z(t-/4%) (./ r (L-'4 ftr !r answer:
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MTH 140 Final Exam 3. (3 pts.) (multiple-choice question) Suppose / is a differentiable function such that f (") < 0 and (b) > 0, and the graph of the derivative of being given in the figure. What can be said about the number of solutions of the equation (r) :0 on the interval (a,b)? y = .f'(x) f'cx)>o 'ou (atL) .tnCZ. -v?t (a, D. + f6 Select the correct answer. f'crt= + i", * ?ri? : L i54 ft z) fft)-o =) I F D,vF a* %=4 X=o ) ,lr,Ut L= o 'w't { Me thrcd z: frn= xv'- t x4/t x-I 7' I ftt4 = - iT2 ,Zirt,Cx =t) . x% N'vt (x-?tx*?) -x4/, answer: A*. .:-Z ?rx *7t x5/t I fh) = 41 1(") : 0 does not have a solution on (a, b C) (r):0 has exactly two solutions on (a,b). ) wae*?3 7 a€h. D) (r) :0 has solutions
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This note was uploaded on 09/24/2011 for the course MTH 140 taught by Professor Poliakov during the Fall '10 term at Ryerson.

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examF08Sol - M TH 1 40 inalE xam \ F q 1. ( 3 p ts.) (...

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