Quiz1num1soln

# Quiz1num1soln - Machla Quiz#1 See 5-6pm Print Your Name...

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Unformatted text preview: Machla Quiz#1 Oct 23, 2007 See 5-6pm Print Your Name __ Sign Your Name _ 0 You have 30 minutes. 0 Each problem is worth 10 points. 0 Showing as much work as possible will guarantee the most credit. 0 Partial credit will be given 1. Find the limit lim 4—]: :v—+4 5 _ \/.CB2_+9 +A:5 ;5 ‘H‘a [,‘mﬁl o‘f a ﬂUdk'W—‘l of +1449 conknuous ‘FUhUQOhﬁ 50 4’77 (ID/2171;] ,‘r‘ %£\C //m 1‘?! ”/‘ﬁ 0 2 ﬂ, \$0 #1.; *eJ/S US n0f4/‘ﬂ 5 — ‘J/é NI 0 ﬁ 5 + er5/ Jr U , ._,_ P7 m Hﬂ/ymj 67’ { " 5r Ill-+51 (I'm ”X “ [I'm 1! >( 5'fJx ‘1’7 : “m (LI—x]{§+m) X‘W 5~ x1+61 -X‘?" 5am 5*wa—n-T—7 ”77 25‘ ~x1—‘f Keqil ' 1’ um (LNG/5 Wm) 5°“! (WVLW +61 ) 1,.” mm” :xﬁ ’6 ~x" ” x-M (yfw/m) X—H L/+x ; :9. 3 mucA Imam/9r 71AM, ,‘d’enJecj x 2. Find the slope of the function’s graph at the given point. Then ﬁnd an equation for the line tangent to the graph there. .3 :gg/ x=xa 3:“ 2x 55‘/ 3 L] 3. Use the formula f’(:1:) = limz_>26 M to ﬁnd the derivative of the function Z~\$ iL' f(\$)=x_4 27; “L, M m \ Inn 1.111— :i-M Z‘X “2’2“ £,;< ﬂm 56"” ‘X(Z"fl (,‘m '54-’12 , xz +L/x _ M w (z—xyz'W/x—v) ’W (Z—XYbﬂ/X'H) - 1112:), ; Mir—~— .._ “it 29" VXWZWX'LO 1“" (24/3004) (*4!) 4. Find 6 > 0 such that for all a: satisfying 0 < Ix —— scol < 6 the inequality | f (3:) — L| < 6 holds, given f(ac)= (3517+4), L25, x027,&6=1 Varﬂl hpfﬂ —L/4 E [g '18- ”(3:44) ’ 5) 4) [4:2 *1/— m ’5' L I (:7 L/ 4 5%,”, < 6 (:y (6 4 ’3'x1‘ﬂ < 35 <=>12<3x<32 4=2 v/‘x433—Z We Wahi i‘éfs wAe,‘ o*</>« -xu/é 5 41mm x #x0 and IX‘Xo/LJ or x757 am/ IX~7IAJ ,‘H X¢7 and .64 X—7<<§ ﬁlf >47 and “5*7LXL5 SO Cﬁumila ’Si»? :: 0/ 3‘7 5: ’5 or 5:35.; 2:1] we 5:? ...
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