This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: Machla Quiz#1 Oct 23, 2007
See 56pm 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, $0 #1.; *eJ/S US n0f4/‘ﬂ
5 — ‘J/é NI 0 ﬁ
5 + er5/
Jr U , ._,_
P7 m Hﬂ/ymj 67’ { " 5r Ill+51
(I'm ”X “ [I'm 1! >( 5'fJx ‘1’7 : “m (LI—x]{§+m)
X‘W 5~ x1+61 X‘?" 5am 5*wa—nT—7 ”77 25‘ ~x1—‘f
Keqil ' 1’
um (LNG/5 Wm) 5°“! (WVLW +61 ) 1,.” mm”
:xﬁ ’6 ~x" ” xM (yfw/m) X—H L/+x
; :9.
3 mucA Imam/9r 71AM, ,‘d’enJecj x 2. Find the slope of the function’s graph at the given point. Then ﬁnd an equation for the line tangent to the
graph there. .3 :gg/
x=xa
3:“ 2x 55‘/ 3 L] 3. Use the formula f’(:1:) = limz_>26 M to ﬁnd the
derivative of the function Z~$ iL'
f($)=x_4
27; “L,
M m \ Inn 1.111—
:iM 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:? ...
View
Full Document
 Spring '07
 Osserman

Click to edit the document details