GSPkl FEËÿ—ó1capm#d€tz:?  AV1_ ÃhldCondensedI PPcnion CondensedMinion CondensedItDpB %€tv{�›Š¦A`üˆFýé£Ä¾Qÿ&€½íu#›.ÙÍ ›ÜFõžeÿ›Ý¾Gÿ�›Š¦HÿžsÆFýëtľQÿ&€½ít&€¼C�C €t¯o´tÿÿÿÿHÿÿÿÿÿÿÿÿÿÿÿ9X~ÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿ1C€¸C €t­W²\F'F¡äÏ œÏ Ï ¬I±N€ÿÿ /C€¬C €t¯@´Ea~jDh!ÿuè5¬ƒÄë$Wè)v…ÀuWjh(h ÿu謃ċÆ_^[‹å]ÂU‹ì�1C¡C €tˆ�EgHÿÿÿÿÿÿÿÿÿÿÿ9X~ÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÅC�A €tˆ:�?alps Hÿÿÿÿÿÿÿÿÿÿÿ9X~ÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÅCpB �tføÁü 7 mR_€N ÀL’°¦ì’Mš�ÿ“éëÿ•°±ëìÿ£°±MšÐ_@ 0 = 0 = €tÜláq  AQ V{`Vw« Vw Vw« µHoBoDp ïCÜB dtP+eœ  %GIhVóÀVó0%FðIhJ¼@JºÀ-IVí0ƒ4êCan you adjust delta so that when x is within delta of c, f(x) will always be within epsilon of L? Try with different values of c and epsilon, to make sure it's always possible. Tabulate your results for c, L, epsilon and delta.¤t­){? %IhÿÃÚªÿÃÛ ÿÃîäW9ÐÿÃîòÿÃîäW9�€W=Jº`“u*Adjust the sliders to change the function.€tœæÿ¡ëÿ AW.ÝpÃh Ò€ Ò°f(x) = ax{u:2} + bx + c€CÀÁúÿ –t‡9?oB t AE Expert DisplayMinion Ext Display ItalicMinion Expert ItÅCpBDpBÐ? $‚t­²\B6B›Ùá›.ØÍ ›Ý¾Iÿ�›Š¦JÿžwéÇ›&Ù…›&صɛÝ^­�››ÝF­›&Ø�©›&Ø­¥›Ý^µ�››ÝF€×C�C ‚t'o,tðB H'ÿÿÿÿÿÿÿÿÿÿ9X~ÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿ€”C€¸C ‚t%W*\ðB F'¡äÏ œÏ Ï ¬I±N€ÿÿ €“C€¬C ‚t'@,EðB D'!ÿuè5¬ƒÄë$Wè)v…ÀuWjh(h ÿu謃ċÆ_^[‹å]ÂU‹ì�€”C¡C ‚tðB H'ÿÿÿÿÿÿÿÿÿÿ9X~ÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿ€D�A ‚t:?ðB H'ÿÿÿÿÿÿÿÿÿÿ9X~ÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿ€DpB #ˆtà±à± N N.Ø¿ 2CoordSysÜŽuÿ›ÞÁ›Ýž}ÿ�››Ý†}ÿ›Üfå^½�››Ý†}ÿ›Üfí›Ý^Å�››ÝFÕ›ÜN½›ÜnÝ›Ý^½�›¼C�C€K@–t!ýn»tÿÿÿÿnÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿ1C€¸C€”C€¸CÐ? –t!ýV»\lÿÿÿÿXB€¥C.C€¥C6K®¥ýK¶KðBx€>€¥C/C€¬C€“C€¬CÐ? –t!ý?»E~h¼jÿÿ…À„»Sÿ &a~‹ø…ÿ„ªjW&a~PVèÎWÿ&a~éŽj�…üþÿÿj‹}P1C¡C€”C¡CÐ? –t!ý»ÿÿÿÿnÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÅC�A€D�AÐ? –t!ý9»?ÿÿÿÿnÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÅCpB€DpBÐ? štÜD_kooBmPCourierCourier New PS MTFranklin GothicÎGenevaGeorAB = Distance(A to B) = „tÄÉ? 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' –t+ÿÆff®?m8B�CÀ0D�CÐ? .-�tƒ·2¸Ÿ4' mW)@IhL’°¦ì’RmPÿ“éëÿ•°±ëìÿ£°±Rm�) {D:c}{10} = e = œÿüÿ 5�t…Eº\�Ÿ4' mW)@IhL’°¦ì’RmPÿ“éëÿ•°±ëìÿ£°±Rm�) {D:c}{10} = d = œÿüÿ 7‚t©®éŽ?  c‰¶Ûm¶JµP ú‰©8ÿÄ+¦*,*,‰¨ðm}ÜÌ]N‰¨ðJ9Ðm ÿÀm€ÕC�C9·tf=*ðŸ4mSI€{€€|Ÿ€û } Text Format û delta{!:*}AB = delta*Distance(A to B) = œÿýÿ›ÿ;»tf&TAÈŸ4mTI€{€€|Ÿ€û } Text Format û epsilon{!:*}AB = epsilon*Distance(A to B) = œÿýÿ›ÿ:štŽ*m3x: Coordinate(Point x): <„t´¹ +x’.ô¤.ô¤ :O^ïL‰Cs·ÿxÿÿÿÿÿÿÿÿ ÛC�C <=„tž£ÛI@ +x’.ô¤.ô¤ :O^ïL‰Cs·ÿxÿÿÿÿÿÿÿÿ ÐC�C <=Žt¬£í¸  Case 1m¶JµP ú‰©8ÿÄ+¦*,*,‰¨ðE}ÜÌ]N‰¨ðJ9ÐEpÿÀE '&(<Žt¬¸íÍ  Case 2m¶JµP ú‰©8ÿÄ+¦*,*,‰¨ðU}ÜÌ]N‰¨ðJ9ÐUvÿÀU ')<&Žt¬Ííâ  Case 3m¶JµP ú‰©8ÿÄ+¦*,*,‰¨ðg}ÜÌ]N‰¨ðJ9ÐgqÿÀg  Not'&*<Žt¬âí÷  Case 4m¶JµP ú‰©8ÿÄ+¦*,*,‰¨ðO}ÜÌ]N‰¨ðJ9ÐOèÿÀO '&+<štW“'ô gAx €€€ÿÿÿÿÿÿÿÿÿÿÿppppppppppppp x{l:x} = x ->  Óþœÿ?œtf=îXmUJÛà`JÞFÿÿÿw ÿÿJalues ¿x’: Coordinate(Point x’): Aœtf‡î¢mXJ¹¼JÅ 0JPC‹C�€x’: Coordinate(Point x’): @˜t„éÿ¾ègA mAHI€{€€|Ÿ€û } Text Format û x{l:c} = c = Óþœÿ?ÍtZùÿö¨ gAmQf0N ÀL’°¦ì’M“àÿ“éëÿ•°±ëìÿ£°±M” eð a{!:*}x{u:2} + b{!:*}x + c = lim f(x) =  ? œÿýÿ›ÿúÿÿÿšÿýÿ›ÿÿÿ™ÿ3F1/“tfTÊr gAmV ÐJàPJà� ÀJë@HJàPJ·  = x1 = ÓþœÿG“tfžÊ¼ gAmYÿÿJÁPJÉà NonexistingJÆ0JÎÀJÒ´« JÅðJÊ0  = x2 = ÓþœÿH†t©ž®£suah ;AK BTÐBookmanÏChicagoCourierCourier New PS MTFra€ÕCxÙC JF†tvž{£suah ;LÀ‰¨àÐJ~oJƒ‰¨ðJ‚}ÜÌJz`‰¨ðJ9ÐJsäJ~vJ…¼CxÙCîÿJÈtfk܉gAmWJÒäJíð0JîàÿÿJí  a{!:*}x{u:2} + b{!:*}x + c = f(x1) =  œÿýÿ›ÿúÿÿÿšÿýÿ›ÿÿÿ™ÿ3K1/ÈtfµÜÓ�gAmZJ·Jå0J° ? a{!:*}x{u:2} + b{!:*}x + c = f(x2) =  œÿýÿ›ÿúÿÿÿšÿýÿ›ÿÿÿ™ÿ3L1/št…úÿÀ0 gA mAIH@ÎL’°¦ì’„àÿ“éëÿ•°±ëìÿ£°±… H (lim f(x)) = L = œÿJ'†t'œúË“(?AK BTÐBookmanÏChicagoCourierCourier New PS MTFraM(9<?FJM†tž½£Â°òJ ;AMJåpJò°«0µX€C×õÎC%L<ÐC‘ó>C OK†t´}¹‚J  ;ANC�€JJ¥ìCÑuÎC�€CìºC�€KDøJë@PJí J¶<J¸ØÿÿÛCýB PL†tv½{Âsuah ;AO BTÐBookmanÏChicagoCourierCourier New PS MTFra¼C‘ó>C O†tv}{‚suah ;AP BTÐBookmanÏChicagoCourierCourier New PS MTFra¼CýB P„tv“{˜ÛÉ? +AL’BTÐBookmanÏChicagoCourierCourier New PS MTFra¼CxÙC N>„tv©{®ÛÉ¿ +AL’BTÐBookmanÏChicagoCourierCourier New PS MTFra¼CxÙ*C N>ðt êhàgAmABI€{€€|Ÿ€û } Text Format û (1 + sgn{(:epsilon – {@:f(x1) – f(x)}} = '1 + sgn[epsilon – abs[f(x1) – f(x)]] =  ÿÿ,ÿœÿþÿ6ÿ›ÿþÿšÿùÿùÿ:OJðtb3D gAmACÞ³ÞéM§ « ¹ öùÿ÷÷÷÷÷ÿM `M§àR0 (1 + sgn{(:epsilon – {@:f(x2) – f(x)}} = '1 + sgn[epsilon – abs[f(x2) – f(x)]] =  ÿÿ,ÿœÿþÿ6ÿ›ÿþÿšÿùÿùÿ:PJ ¦t ·se pB`KEK%àK& 0KE Condensed?gniDÛC�CÛCýBÐC‘ó>CÐC�C@TSA ¦tx·À pC Find FileGlobal Vage Fax CenterGraphing Calcula?giJÛCýB¼CýB¼C‘ó>CÐC‘ó>CTVUS –tu’{®  AD&Ï Ih €€ÿÿ¶ÛUk°Ul&ÏIhÛm¶Ûm¶Ûm¶Ûm¶Ukðm¶Ûm¶Ûm¶Ûm¶Ûm¼CxÙC¼CxÙ*CÐ? 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