122Sampletest1sol

122Sampletest1sol - Math 122 Spring 2009 Name Test 1 Sample...

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Unformatted text preview: Math 122 Spring 2009 Name: Test 1 Sample Ytlu rrrust show all the work clearlv to get full credit. Good hrck! 1. (6 pts) Giverr /(:r,3r) :,f ,z - y3 + ,2. Find ff, fi ""a ffi *4 =* (i-viri 2x L 'ux' + Y) "', 7tn./, z, x) = lLf =O VY aF- =o T7 fi=o ,>E r\ ?vv'=' V- f.F- JT-L )r- Z tl') , \./ \) / "J _-L t 1r4-- 'J >J r-y t \ -t- f- zixq>-,/.|v >^aJ 7x'2. 21vlr14 2. (,i pts )Given /(0, t) : z, ff10,1) : -2, foz,t);y-fr",,1 fr o, r'>) v f c"' t) ). )=4v' l}. (8 pts ) L<:t f (r,g) - ,t + At - 5r - 8Oy. Find the critical points ald arxl use thr-' scr:ond-delivirtivt: t,est to dt:tcmrirre thc nature of these points. yrlo,r) :4. Approxilratc /(0.2. 1) altl /(0, 1.2). + * ( o, ,) ' o.z =>+ (->).o.L =t, ( + 4b.,) . o.L :)+ +. o'2= I I * = 1or- 9=o ->x*=l =) 1= 1l C,.ri+*-4 l+t, (t,2). tr.-21 (-t.2-)(-t.-L) 5T - ) /\ ') -v -/ /\ -\ ' ' 1 = ):l*- *, =o :) 9+-16 + ! =!y> {j, -- s D (^.Jt. )o* ) ?r '>" :J' -0 _ 0 =_ /t"o\, I ) ) pt(1,2-))o ftft,,z)20 -) 1-e1'tn)" ^* (t'2-) D (t,->1 <o ;) ne-;f|e'r'...
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This note was uploaded on 02/20/2009 for the course MTH 122 taught by Professor Buettgens during the Spring '08 term at SUNY Buffalo.

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122Sampletest1sol - Math 122 Spring 2009 Name Test 1 Sample...

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