Math 149 - 001 - 002QUIZ3Name:Page 1of2Dr.P.D. McCray 7 February20071. (10pointseach) Findthe criticalnumbersofthe functions.(a) I(x) = 2x3 -15x2 + 36x + 2 .:f / f?c.):::: ~ 'k 2. - 30 X -1-36~f /1")( J= ,,( -Xl.. - (T?( +(, ) -= '(1(- '2..)(~-3)~ f I f)():= (7 ~ ~":::. 2... ~ ?("":::.3.~.~-t4~\~~¥7-~~:::. 2. ~ f{-=..S ~ 7 / f)(") J0(~ r tttLP:;:r'.Math 149 - 001 - 002QUIZ3Name:Dr. P.D. McCray 7 February2007V Page 2 of23. (10 points each) Consider the function J(x)= 2x3 - 15x2 + 36x + 2 fromproblem 1....:F I rX) == ~ (?::-'2.) (X-3) =- ~)( 2. -~~OXy-3(,(a) Wherei§..f(x) increasing?~ PC -<~ tJl0 ~ ~ '> 3 ~ lZ-~4~<--<?«<".::f/rx/>o ~ '?(h ~ (-000:;.)v(3OO)I ' '/(b) WhereisJ(x) decreasing? ~.;( ~?(' "'" 3 ~:f / c.><) -<' 0 ~ ~;> ~ ~ ~"'\ 3). c.1/~("';0 ~
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