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F  f   X:;DM@       Freeform 71H s#           f [f f3̙zr___PPT10R+G9rD' = @B D' = @BA?%,( < +O%,( < +D' =%(D' =%(D@' =A@BB BB0B%(D' =1:Bvisible*o3>+#.<* %(D' =-o6Bdissolve*<3<* +8+0+  +"@ ^Vp$(  $/ $ j`01?Text Box 2"PK![Content_Types].xml|N0 HC+jS8 @:Q۸ ??\o<7p]V޷O(I'6E=, ){Ō4>I)q7UuDހǏ)}nL"Mᴸ&g0eSA)΄2';2 WYu7{ɯΒzŘqFrj9K*(]mOlPK!Z,[ _rels/.relslj0 ``t_Pƈ[>,dgzjǎ?I'f#®Pb-\/Ƿ0Z]nLnp__3.iJV KQBiDžrL,Vʌ/7р4`ANar+m;E/'3U Aںv83/PK!6+drs/downrev.xmlDN0HHܨY(ԭ,66icqьѷXMΊB=k č7= ZϤLVVƟxK."C8VKiMGĹ;0Zi2YY{}; pacʠއ}?ZLO M2~?ԛѠ{@Gc!el r PK-![Content_Types].xmlPK-!Z,[ _rels/.relsPK-!6+drs/downrev.xmlPK 0 ,$ {Ex 1: Identify all extrema.<6   $ # 11?Rectangle 27"@ N   x .)# $C *Group 49"-  $ P?AutoShape 50# $ P?AutoShape 51.) z $ J?AutoShape 52 Q z $ J?AutoShape 53Uz  $ J?AutoShape 54JKJz  $ J?AutoShape 55wOwz  $ J?AutoShape 56!S!z  $ J?AutoShape 57!e!z  $ J?AutoShape 58Q#[Q# $ H@;?Text Box 59   ga$@ C$   $ H`<?Text Box 60- gb$@ C$  2 $ F=?Oval 61bk N   2 $ F>?Oval 62Y N   2 $ F?Oval 63>  N   2 $ F ?Oval 64!! 5"  N    $ S l@ABCoDEFQRUVWX|?RZ ,o ]@   da oFreeform 65 H $ H?Text Box 66a gc$@ C$   $ H?Text Box 67 gd$@ C$   $ H?Text Box 68  ge$@ C$   $ H?Text Box 69 4$ gf$@ C$   $ H ?Text Box 70J"% gg$@ C$   $ S @AB C DE@FQ6RUVWX|?  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F  f   X:;DM@       Freeform 71H s# (((( ( ( ( ( ( f [f f3̙zr___PPT10R+G9rD' = @B D' = @BA?%,( < +O%,( < +D' =%(D' =%(D@' =A@BB BB0B%(D' =1:Bvisible*o3>+#.<*(%(D' =-o6Bdissolve*<3<*(+8+0+( +"  #,(  , , j@1?Text Box 30 N    , j1?Text Box 40 A critical number of f is a number c in the domain of f such that either f (c) = 0 or f (c) does not exist.t Z<<<<<<<<<<<<<< <<<<<<< t  , l1?Text Box 13` 3.1 Extreme Values*C<C<   f [f f3̙y___PPT10Y+D=' = @B +"# #   (  F  j`1?Text Box 2"PK![Content_Types].xml|N0 HC+jS8 @:Q۸ ??\o<7p]V޷O(I'6E=, ){Ō4>I)q7UuDހǏ)}nL"Mᴸ&g0eSA)΄2';2 WYu7{ɯΒzŘqFrj9K*(]mOlPK!Z,[ _rels/.relslj0 ``t_Pƈ[>,dgzjǎ?I'f#®Pb-\/Ƿ0Z]nLnp__3.iJV KQBiDžrL,Vʌ/7р4`ANar+m;E/'3U Aںv83/PK!\drs/downrev.xmlDKk@CJtfIpafz.pYG>4J2`dK[I8oBDP;Kn`>{~b\owcĆ%1硬`l.)+},`cC--k*#A2*=n+˰4xs=UD.va%$dLPK-![Content_Types].xmlPK-!Z,[ _rels/.relsPK-!\drs/downrev.xmlPK K,$ %Ex 2: Find the critical numbers of g.*&#<<< & }  BA ??Object 3"PK![Content_Types].xml|N0 HC+jS8 @:Q۸ ??\o<7p]V޷O(I'6E=, ){Ō4>I)q7UuDހǏ)}nL"Mᴸ&g0eSA)΄2';2 WYu7{ɯΒzŘqFrj9K*(]mOlPK!Z,[ _rels/.relslj0 ``t_Pƈ[>,dgzjǎ?I'f#®Pb-\/Ƿ0Z]nLnp__3.iJV KQBiDžrL,Vʌ/7р4`ANar+m;E/'3U Aںv83/PK!:e2drs/downrev.xmlDj1D p }Yme5BO~%.nn$7B9,VĕBl=k ۖk a63iSi7uj!KФԗRFӐ8=q>8LYZڀ w[ iȜ;Nu[XmPeXA$e5ɇ|PK-![Content_Types].xmlPK-!Z,[ _rels/.relsPK-!:e2drs/downrev.xmlPK0k 8 $D  f [f f3̙___PPT10p+qD' = @B D' = @BA?%,( < +O%,( < +D' =%(D' =%(D@' =A@BB BB0B%(D' =1:Bvisible*o3>+#.<*%(D' =-o6Bdissolve*<3<*D' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+#.<*%(D' =+4 8?dCB0-#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*D' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*+8+0+ +" 0(  0 0 j1?Text Box 30 N   } 0 j1?Text Box 4y Extreme Value Thm: If f is continuous on a closed interval [a, b], then f attains an absolute max & absolute min at some x-values on [a, b] Zy Z77777 777777777077 77777   f [f f3̙y___PPT10Y+D=' = @B +"  4(  4 4 j`1?Text Box 30 N    4 j1?Text Box 4`TLD___PPT9&  To find Absolute Max s & Min s on a closed interval: Find f & all critical numbers. Find the value of f at each critical number. Find the value of f at each endpoint. Smallest = Absolute Min Largest = Absolute Max7 Z Z2322-000--,--D-   f [f f3̙y___PPT10Y+D=' = @B +"    0 (    j@1?Text Box 2"PK![Content_Types].xml|N0 HC+jS8 @:Q۸ ??\o<7p]V޷O(I'6E=, ){Ō4>I)q7UuDހǏ)}nL"Mᴸ&g0eSA)΄2';2 WYu7{ɯΒzŘqFrj9K*(]mOlPK!Z,[ _rels/.relslj0 ``t_Pƈ[>,dgzjǎ?I'f#®Pb-\/Ƿ0Z]nLnp__3.iJV KQBiDžrL,Vʌ/7р4`ANar+m;E/'3U Aںv83/PK!Mdrs/downrev.xmlDn0D"uWE jwė$ԏvCүEYftFgf=:+a>ˀj-<BDP;KF YOVX(wꏱf bCP5d0\G6u }͕[,`kCF.2*;~#tx]4xܖחC}( "}I)q7UuDހǏ)}nL"Mᴸ&g0eSA)΄2';2 WYu7{ɯΒzŘqFrj9K*(]mOlPK!Z,[ _rels/.relslj0 ``t_Pƈ[>,dgzjǎ?I'f#®Pb-\/Ƿ0Z]nLnp__3.iJV KQBiDžrL,Vʌ/7р4`ANar+m;E/'3U Aںv83/PK!%drs/downrev.xmlDAk@B t DW)JAZAL z|dI06ͮ1{W(xffM-:j]eY8A[]qs4<2)e0T+|!] JTJdЍmCm BnjGQ" VJlhUR~.F!;}LS;N~*5|?f <oo$$\PK-![Content_Types].xmlPK-!Z,[ _rels/.relsPK-!%drs/downrev.xmlPK 8 $D  f [f f3̙___PPT10p+qD' = @B D' = @BA?%,( < +O%,( < +D' =%(D' =%(D@' =A@BB BB0B%(D' =1:Bvisible*o3>+#.<*%(D' =-o6Bdissolve*<3<*D' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+#.<*%(D' =+4 8?dCB0-#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*D' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*+8+0+ +"[ P8(  8 8  x 0e0e?Rectangle 2@S  HW  3.1 pg. 169 # 1, 2, 3  7 odds, # 9  12 all, # 13  41 EOO C C< C f [f f3̙y___PPT10Y+D=' = @B + ME@-(  @5 @ 3 kk1?Rectangle 7 @  j*C    @  rkk<?Rectangle 2XK    @ # kk5%<?Rectangle 3 M)   2   ̙33 ME D-(  D5 D 3 kk1?Rectangle 7 @  j*C    D  rkk<?Rectangle 2XK    D # #kk5%<?Rectangle 3 M)   2   ̙33% ME@H-(  H5 H 3 $kk1?Rectangle 7 @  j*C    H  rkk<?Rectangle 2XK    H # %kk5%<?Rectangle 3 M)   2   ̙33& ME`L-(  L5 L 3 (kk1?Rectangle 7 @  j*C    L  rkk<?Rectangle 2XK    L # kk5%<?Rectangle 3 M)   2   ̙33' MEP-(  P5 P 3 +kk1?Rectangle 7 @  j*C    P  rkk<?Rectangle 2XK    P # ,kk5%<?Rectangle 3 M)   2   ̙33( MET-(  T5 T 3 .kk1?Rectangle 7 @  j*C    T  rkk<?Rectangle 2XK    T # 0kk5%<?Rectangle 3 M)   2   ̙33" MEX-(  X5 X 3 1kk1?Rectangle 7 @  j*C    X  rkk<?Rectangle 2XK    X # `3kk5%<?Rectangle 3 M)   2   ̙33$ ME\-(  \5 \ 3 @5kk1?Rectangle 7 @  j*C    \  rkk<?Rectangle 2XK    \ # `6kk5%<?Rectangle 3 M)   2   ̙33  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Designs\Lock And Key.potJuliette Baldwin125Microsoft Office PowerPoint@И n/@0l*w@`AGg  pp  pA 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