HW8 17A - 3.2 T 4—00: X3" ax><+l...

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Unformatted text preview: 3.2 T 4—00: X3" ax><+l 606' x: ,1 1 L) Hayzfi—r AQQH =5 , EL) M $05) 2 M {2&- 2><+0 : 8—4+( =5 1 5r 1! >92 90*; ac) M +(x): 52%;] ) " X—HZ V 144’ MK:Q\ KIL—X—az . 5. ,. - 4X75; obx:2-. ) VW)‘{ x32L X:9\ ~LCR): 3 49M 499 3 M xiv“; ZX—s; 99”; X'k T. : 3 X91. (at) M 4(5) 7— 3’ 2 41a) 2 X91 M‘PMWWX21’ a K23 MMQ: M xl—‘T - M CK CW 2 X323 x493 K—3 X—sg 2V3 C) +0): Ck ’2 Lb) C x +Xbaz >6» X9! ><-I g; u u is: M MLM :. (+2 ~ 3 X-w w M M E , M g X"\ ' ; WW 60" K: 2») 4L3? = o \ a.) M¢nyz M 7“} O : 21:00 MM X93 x"3 M ax" ng 41$): REE—T J :I Inc M./6o’10.1/Q_ 1L - XII : LX~IQQ<+U~OJ 0 e7 W706 09% X31 0M XZ‘I xizm-A 2 k V K“ X: 1 @410): v a.) M .W): M 5:133:13 : “N110 X~§( X"?! X~9\ (“‘1 (1,] +(o:o&—( :o-(:~ a.) M +Q<):Mx:o «ML Xao‘y' X904— }M’V‘ ¥CX : Xi] : *1 max) ONE) .2HLM 4/4 MWWKCO Math 17A Kouba Worksheet 1 1.) Use the three-step definition of continuity for each of the following problems. x2+3, ifcc#—1 a.) Let f(ac) : { 2 if a: 2 _1 Determine if f is continuous at cc = —1. ' > b.) Let g(x) = ’ Z Determine if g is continuous at :c = 0. m —- 2 , ifat > 1 c.) Let f($) = { 0 , if :1: = 1 Determine if f is continuous at x = 1. —x , ifs: < 1. 2.) Use approved shortcuts and facts from class to determine (with a brief explanation) the az-values for which each of the following functions is continuous. ‘31-) “33) =$5+$4+w3+m2+x+1 b.) 9(33) : xSZiI-ll-x4 C-) = = COS(x3 _ x) 3.) Determine constants A and B so that each of the following functions is continuous for all values of x. Start by drawing a“fake” graph. Then use limits. m2-7$+6 , a-)f(w)={_w‘T ’ “#6 A , if$=6. _ Azx—A , ifle b')f($)_{ 2, ifx<1. A+a: 'f 0 c.>f(m>={A+1 ’ 1“ A$3+3 , ifoO 3 , ifxgl d.) f(a:)={Aa:2+B , if1<mg2 5 , if$>2 Arr—B , ifo—l e.) f(m)={2m+3A+B , if—1<a:51 4 , if$>1 ‘ (2 xj’ X:-—/ J c.) 46‘): Z ‘ (L!) M 3 M LX2+3/:{+3:<{ K—V‘I X‘fi“ Lac.) {2"}: $QV344 #2: 41(4) M 4A4 NOT“ (AX X:*I ><+I ‘ X2 (0) 3LX):{ 2% O a>é~x:_o avx 4: x<o J b) 3Q»): 0+1: / at] M 3(5) : 1M Qx+(7:( X-‘cr" 9930+ ‘9 M sax): M Lama/:51 W x90” Xao" / x—ao J j A:Q NOT an)? X: O x-; 2f><>t 0,) 4—00: 0 X/fXI( K o>k><¢lz -x x<1 3 4‘10): 0 L2.) M #00: M Qua]: '/ X—a[+ X-vfl' o M¢é<):w C-x]: -1~ M. x—at‘ x-u‘ J _( X“! 4&22‘1 75 o : 4:02) w K“! NOTW&X:/. 0?.) 4.) $00: x§+xq+><3+><l+x+7 a 50.] 309: m (xix) ’- 1D—(><}:.ca<>t>< (we/M W] kéd'l-‘XBL-X x5 MM compOSITLO/U ‘ A X: G; /~ M $ny : M xi WM? : M 8/570“? X962 x—ae x—é x—vé x/é 9x X<I 9 M w)... a ———7 9”“ ’1 / ><—»I+ ,am‘m (Aix—A):;z—» 1 x—m+ ‘ (Ax-E): ‘ (2x+3A+8)——» X-a-I‘ Xe—(‘L ...
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HW8 17A - 3.2 T 4—00: X3&amp;quot; ax&amp;gt;&amp;lt;+l...

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