151 Exam III Fall 07

# 151 Exam III Fall 07 - G.^MArH 151 Mrs BonnyTighe EXAM III...

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G.... ^- MArH 151 EXAM III Part 1 Name . Mrs. Bonny Tighe 2.9 -3.7 60 points Section Fi 11/30/07 {'r.) ' tb) -lla) b:q . = tl'v --\ 1l -o Oe\3Y4 4(d',o \{o) 'n 4'ir)'\ rJc-oS3X u 3 cnrs 3> "D 2. Determine whether each of the following functions is always in decreasing or some of each. EXPLAIN YOUR ANSWERS / 3Y 'i k *-! .--F- x3 '/,,, "7u rykA-r) b) h(x)=ln(l-x) h'1y) ' -l t-Y a) f(x)=v1 +3x5 +2x3 -3 {'t*, -- 1x' +t fkn + G r' J^*A Posl{i'< tr\ "O;ry r,<r,rr-rt\ "i**( ct-r .ar--r.1 nl t-\ \, \ '</o I k\ ) 3't*l </u ,t-1r,to/., !, ,1/.,5lo t / ) .r [.'Gl '- a-k eY "tK-l s"3a,tl aD b--Tl.-;-td--.-- c k >D

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3. Use the Meaa Value Theorem to show the following: a)_ Show that the equation x3 +2x-4=0 has exactly one real solution a{r )** ryP*nX_tr:)u-o A Bnr V-r---r- \t/"^"- Yir-. aN' I k) '<) ,'rt*A f ba--"' C Yt^^i"'a^-l , ;-e.rrotl --1 I a'^2 Z b4-+-<r- {-W'!'(c) "'> 6 {^rr" A^t- . 3X-vz {o ,^;i)'v.ulu') l.-z.- O ,,nf 2 S-,/-.^.:l't r--1. .' ar^,he U b) Show that the functioil = 0 has exactly lwo real solutions. 9 r"3-6 7x (>* Y '-d w{-l^ru Y ---n, --g) --u )< = !d7-- c'--L'L fr,.o-u&
1t-q . (* -) a)'s v-: + ( o\ Q)ont * D ,>"t==5 , D,-- ',, = AAS 4. Find the absolute maximum and minimum values of /on the siven a) f(x)=a3s-' on 11,21 b) f(x): *+Jg-* [0,9] S.ij UGlinearapproxirlationtoestimatethequantity: \ 3r\ t\ t,

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151 Exam III Fall 07 - G.^MArH 151 Mrs BonnyTighe EXAM III...

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