examF07Sol

examF07Sol - M TH 1 40 inalE xam F alI F q 1. ( 3 p ts.) (...

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MTH 140 Final Exam FalI o7 - So(utzo'n't 1. (3 pts.) (multiple-choice question) Consider the asymptotic behaviour of the function 2x-,1 2*'- !_ rJt t* ,wa" _) f u> =zx_Lr+g { ttt f @) : ':---F + r- 2*> ,.,ex Find the asymptote of the graph of /. x2-3x + 1' :) ./.tX-t -xz -L ') ; select the correct answer. -4 +2 i tfie S'4 ' A) U:2r3 B) A:n2+! C) a:2-3r D) A:2r-7 E)a:Z Write the letter(capital) of the answer in this box 'Fl 2. (5 pts.) Find the critical numbers of the function (r): rt/4- 12. fal = r( 4-x')1"' + {|n =e -x')lh + x (rr) G-*)-'/- (-r*) (q x'il" ( 4-x' tl =) 'ry) 4 3j:: , f',*)-- o :; *z= zanswer: f'r*l Dve + ffir' x=tfi X=ttz. )te O a.bS. tut.o'r4. Uo als. ttal . 3. (5 pts.) Find the absolute maximum and minimum values of the function (r) |* + +, on the interval [0,2]. f'to)= frz- 5x t4 = (fr-+)(x-t), {',*) o =) %=!' € to,z3 fro=y>-S/r*4=ry=o; 7:t / corz) €?*4?t4. {k1 =o ) ffa>=t/3-^o+g=y-.r, answer:
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MTH 140 Final Exam . (3 pts.) (multiple-choice question) Evaluate the integral ftxl= 4nx xTt- f(-*) = (>+n !- x) =- ALn X- - _?, . (-xtzr {- T =-I(x' , .=) f ^^ ov4. ==\ (Lt -e ' )-1 | 2 A H)=(l^*")E - n d.) o(x 1 2,1,,<-]t, = n (/trhk s t t- o) F(%+elus) fL sinr J-r14to' Select the correct answer. A) 0 B) 2sin(1) c) t5l D) sin(l) E) 2I ffidr Write the letter(capital) of the answer in this box -Fl 5. (10 pts.) Use the disk/washer method to find the volume of the solid obtained by rotating the region bounded by the curves : llr, 0, r l,and r
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examF07Sol - M TH 1 40 inalE xam F alI F q 1. ( 3 p ts.) (...

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