endobj 10 0 obj x�}Q�N1�#���$v"�JT�Ub嶊 AjYx}|p�V�#Q���� sk���j����v1 ��R��� s�p�Aj��8��æwv���/10�_��T@��O��at�/x��}��G��ͅ8c����/�K���iyS$]W]Cn�/�M0��4,UF��;�L�d�\�e��H�d4ѹH��L�����yB $� 6 0 obj <> 1+tan θ=sec 2 θ 3. 9 0 obj endobj endobj �Y����$�E��1)Fk�Z�����}Y�z�;�E��$�H�I�xp)�蠊�'��K�e�WO��w�� … 14 0 obj n���I0���y�mdW����b=����;���^�`���"�z� ��z*�A�|�U�ȴZ�&m�%���s.�u�����Fm��\>��>�1I0���s�~���Pa:���v(&��v�s? @��������W7 [��"B�Xi?XFqыԒYj�ߙ%y���5��qv�}��e���⫯���zs\ȯ�.^�*��~��~;<8�B�?孊E:iU(�҅����<����@�B���Pㄶ��H�o���Y~������Ã�ۓWEѡ�j�H��*#R��^��þS���Bqz��eUh�-�B��i�����mL3���Ãw-�,������g���:��QzDkZߔa�C�ܢ(��Z�¯t�{:����-�`@)Bn4��e��Ä �����@�qbh�rs��qn��s��w- lպh����J����{�% z��~����Ŕ5mY4g��g��Ҁ�y��Eg����x�Ag��g���|]������FY��s4F�l���� �Ef١l�s���>�1�[�!DZ�&��Ƣ��]�H^�U��r%7+O��I�� endobj %���� !NY�]��`���>��'ĕ��03m =R\�&��'0� #R�=�4Fꂍb#c�G0�Q�`C����mÖ��5 X�������K�&0�g3��>y3�ԃ.�7��c-pj�M������ഐ��h{�p�}S�p�L��]�G��D���aI�U+*6��>���Y���mH(D��5��c�c�=�!�l���r��O���x��� ��9����8�eA�O�m�>d�����l���N|���.l���W��݀�R�C?��PRO^��|��C���QN�ި���؆p ����,��ئq|�5$��ñd�l[��%����)g\��������~�p�6� �{x�+M,J�����l����Tkl�N�{|��| |��߂�l��E���3̝��c��㲄���]�G�:�u%�e*y]��J����dt䵐�`dtR �wB_2`2rp�17�1.+�/*�� ��k��WOx��Y=�wƘe"Ŭ�y�h��D�vC$��fH^q�c)��Ԩ*�'QQR0�,�4���g�D��-��-�r&_T{-�o���+�XVړj�~�y�04����9k4�Їe1�(�����3�"ł��(�J %PDF-1.5 endobj 11 0 obj 2020 AP CALCULUS AB FORMULA LIST _____ Definition of the derivative: 0 ( ) lim h f x h f x fx o h c lim xa f x f a fa o xa c Definition of continuity: f is continuous at c … <>/Font<>>>/BBox[ 0 0 83.943 37.009] /Matrix[ 0.85772 0 0 1.9455 0 0] /Filter/FlateDecode/Length 274>> Finding Absolute Extrema To find the absolute extrema of the continuous function fx endobj 18 0 obj 8 0 obj 19 0 obj endobj <> endobj �C�h�^5�E�L!6Rf��d&���e�� W ���I���?�$Fǂ�U�-�(P�ʂ Zd�0v�:�=|X��K�!�f�5&M�Q�R��h�a���O����|��{���HJI�[d2)�f�9����j�#x"m(h�m��f��d�-Y#w6�#%�-��6:��>'$7� '1����}��g������i�N��Ӈ����i'J�t��er�n[�Ƽ�Oo� %u��z����s:4^��i�}�琝7��t��װ,��@AE�}d�P�j��*c�7U��6U���;�(y�-����Hyjd�G�S����R���>�/��!5=�kt�1O��(��l��M{�Ġ[�'MU�qEى��27^�#�����k,�x��L�V�ƶ*J�FoV�ƌ� �hJϯ��}��+� 16 0 obj �];��P�P}G��(��9s�in��lbl=�V|�A������=���]y+6h҈23�ڴc!�3��,���Tfƨ. endobj �#������(d˸)���JWJ(hIMު�>�|�S= <> In general, any formula you use regularly in class is a good one to memorize. endobj endobj <> 21 0 obj %��������� Extreme Value Theorem: If f … <> �ď�m�����e*[V+-Օ���:р���o8%A�\CJ+���S�s�+1���drB�aBs�L^�����)0S���;F� �M�O�K� AP Calculus AB/BC Formula and Concept Cheat Sheet Limit of a Continuous Function If f(x) is a continuous function for all real numbers, then ) lim Limits of Rational Functions A. <> <> <> 1 0 obj stream [ 18 0 R] AP Calculus AB Cram Sheet Definition of the Derivative Function: f ' (x) = limh 0 ccccccccccccccccf+x h/ccccccccccccccc f+x/ h Definition of Derivative at a Point: f ' (a) = limh 0 ccccccccccccccccf+a h/ cccccccccccccf+a/ h (note <> x���Ak�0����Cɒ�ƠcMa��Vv*�l����?�MF�������dB͹��˻j�c�ӧw[��\��$B��4g?��I�û�w� 37j(̨��. <2������䟑-M��=-�a����=|�>��X�Xw ��nm�};�S��މ��a��_�#�f���m�%7�]�s��m;���C!�o�i���U�__}�,>���� ��>T*>sӝu��I�v͹���!L6ɰ�@'`hO������g���]�g�z..ݺD(�L�bq�#��:��yl�3;=���|:4�9 5�������ye���+Y�C�kӎ+J( Y��mC\%L�f��5��j}���C�̌�� bĐ5J;�+V�k�s��n4Vi�~j;?�ͅU�fV��X�WiD����F�0�J�@��͌@��5B�8Uéi��ϕ��am�AvR��Q?W}n����uױŶ��rn&��ٛ#�Нș���Hk=��+lu"p�0Ѷ��N��#H4�ղ]��3�z)Y���`��6����#�"��y��+=bR���H��F�(�- �C1=���M���Œ���7�. 12 0 obj AP Calculus AB and BC Course and Exam Description This is the core document for the course. �o,3l��)��j!��B� endstream stream <> max. endobj 7 0 obj <>>> stream ��*�� A���X~��\y� )� O�5o� �xVv�$C}8'_� �j�; ��c�� �lX@jj(��zu? It clearly lays out the course content and describes the exam and AP Program in general. endobj <>/Font<>>>/BBox[ 0 0 77.947 38.009] /Matrix[ 0.9237 0 0 1.8943 0 0] /Filter/FlateDecode/Length 288>> endobj AP CALCULUS AB & BC FORMULA LIST Definition of e: 1lim 1 n n e of n ©¹ _____ Absolute value: 00 x if x x x if x t ® ¯ 4 0 obj <>/ExtGState<>/Font<>/ProcSet[/PDF/Text/ImageB/ImageC/ImageI] >>/MediaBox[ 0 0 612 792] /Contents 4 0 R/Group<>/Tabs/S/StructParents 0>> <>>> 3 0 obj <> stream �@59=G�d���0n��ڜ��]i��/�_���;��$�oJе�����|c2ҋ�ճ���C��lK�g�zG3��� io���7����JmO>jOm�F>)���r����.>�{#8F��$����>o�k:�/5TG��'t������:��n~]}� �H��Je�����_޷Ǘ|�U� endobj ab, then there exist numbers c and d so that, 1.,acd b , 2. fc is the abs. w��?_t�7ic� ���*j�'DĆ���I��� u%[��x�D���]W�:�����q�NU���\�,x����* 鐯w]�pL������/��ω���]��w�l[Z2&TV�!��]�WYF1��r���z�0Oa�h.���FK1�픔��E����LDI˪f�Q��[���r$nB�܄�SRr�i�Q��3�j2`���(1� ����c� LO������R�ޚ����Hj�}��I$�M$�h7���1�*#�����֩� �)�,�3j�n�T���zj�0��`18�K��H���h7>�h��lL�)>s�AG�0�3 �}� >���6��Ha�Ϧ���3��}����4� 2_��|�28T�|�/qC�i0��;췷�3��،��d{�F���s]�w-X}ʃ6�rM�J{������v��"����`���b���o�����ȥ_� X:�|���הN���-HA��M��g�Z@k�%.Q �ۏ��� d�\֜О�-ؾ! << /Length 5 0 R /Filter /FlateDecode >> x��[[o\�~����vQ�_�$�,ǁMc�/VP��U���B�U�������.�#��+if8��7$͎f�}w|v��5?��^�>e����H&;�>����~:�O�w�����q�A�V�+;����hmA{���JozL��>^}��:�qyý̹�x���)c#�ɑ�,f#���\��餜�헳���>�;a�ޢy�wGzv^����b���̑jב^q���s�8=���%w��׋�ͮ���z���݊�]w�oYs �Y���������߰^� 17 0 obj endstream <> endobj <> ����H;��֚���QƝ��Vm��3�����7��ΪB�!�+�g;�uOf$J��=��2�����$��� 13 0 obj &%�GS��&���c�k�TѰ��x�+k�~���^�iot�L�+����o���~ �`g�g�;��SKB�ֹ��������*EO�`T1nb�� �IE�1�9֔�Serعu�L�|L����劍*f��:R�_My~��^I�cu�������&X=T� Z}��3�I�Ӌ� D��1���j���@g� endobj <>/XObject<>/ExtGState<>/ProcSet[/PDF/Text/ImageB/ImageC/ImageI] >>/MediaBox[ 0 0 612 792] /Contents 4 0 R/Group<>/Tabs/S/StructParents 0>> 2 0 obj To find these, simply Google "AP Calculus AB formula sheet" and look at your options. 4 0 obj <> in ab, , 3. fd is the abs. %PDF-1.3 }I�j�J)Vn��.R�|�JP*o�N^���-[J���n��1"J΁�q�nvB����P��r���wÔ�����L*�e�� � r�A��u[���R\q��>/FJ��P,�1a���bL�j�i~B�1��oLÔa[cr��I)Ѓ�z�r���5�7Xӗ]i��|b�+>����g� �(EV��v��6`<6F���_�0� �+�7�� %PDF-1.5 Major formulas you should have memorized include those for limits, differentiation, and integration, as well as the fundamental theorems. endobj ���AN�L���/x���;[0�.� Sbt� <> 4 0 obj :f㵾ad�ve`7n����q����+[��� Z�������V��Hr��7�����Q��������I�̣ESyC��V��.��e��*w�����~�L��� H藨l�ल|������&��nԥP/��ecj�B��?$`w�GD���-�K1[/~��/0�3�~�kꢦ�ZE9��_��C����N�Y �]��V����q)����>8!Ii��D)�3t�}]���0�� <> 1 0 obj x��\mo���. stream 1+cot θ=csc 2 θ 4. θ sin(−θ) =−sinθ 5. cos(−θ) =cosθ 6. tan(−θ) =−tanθ 7. %���� AP Calculus Cheat Sheet Intermediate Value Theorem: If a function is continuous on [ a, b], then it passes through every value between f (a) and f ( b). 15 0 obj ���Qަ�{iQԿ�h4�e�9��vJ6籦s��A쇐��k�>� ���e���&���:+��� in ab, . <> ��9?z0�'�S.�(�5 ��`�۵b͌�����(wa7`�+u�VW6Ɖ5�Ai���=������j�L멋�!�����'.�h��E����#�*�R��hcAh��ێ]4Z�"ҥ_&�R1|z@Sӛ��T1|z��Q��^��u�{��dܔ�/� 3 0 obj endobj x��Y��Fr���+��ҪZ3��Q��붼���o ����ʀa����/"f&�YU=3i@�Ȉ�����_�ֿ�-�M]_�k_�������~z�kW�Uo����?s�?������9�f��i]��T}��~�S�tuW����>�=�-?Oo���+{�=����Ǘ��T'w�^�O/��{7������gǺ�7{|J��C��������Sl���NqZ�鼟b�P?�Ԝ��dp'gw⯴�y�_�3��{IF���>�C��c*��~O I�L� 2 0 obj AP CALCULUS AB and BC Final Notes Trigonometric Formulas 1. sin θ+cos 2 θ=1 2. endobj Sapphire Glass Watch, Costco Frozen Cookie, Zucchini Price In Sri Lanka, Medical Director Contract Template, Mens Sherpa Fleece Lined Hoodie, Godin 5th Avenue Used, Don Jose Menu, Kalorik Air Fryer Maxx, " />
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ap calculus ab formula sheet 2020

min. 20 0 obj 5�J�%)�"]Xel�S ) endobj endobj endobj 5 0 obj <> endobj 10 0 obj x�}Q�N1�#���$v"�JT�Ub嶊 AjYx}|p�V�#Q���� sk���j����v1 ��R��� s�p�Aj��8��æwv���/10�_��T@��O��at�/x��}��G��ͅ8c����/�K���iyS$]W]Cn�/�M0��4,UF��;�L�d�\�e��H�d4ѹH��L�����yB $� 6 0 obj <> 1+tan θ=sec 2 θ 3. 9 0 obj endobj endobj �Y����$�E��1)Fk�Z�����}Y�z�;�E��$�H�I�xp)�蠊�'��K�e�WO��w�� … 14 0 obj n���I0���y�mdW����b=����;���^�`���"�z� ��z*�A�|�U�ȴZ�&m�%���s.�u�����Fm��\>��>�1I0���s�~���Pa:���v(&��v�s? @��������W7 [��"B�Xi?XFqыԒYj�ߙ%y���5��qv�}��e���⫯���zs\ȯ�.^�*��~��~;<8�B�?孊E:iU(�҅����<����@�B���Pㄶ��H�o���Y~������Ã�ۓWEѡ�j�H��*#R��^��þS���Bqz��eUh�-�B��i�����mL3���Ãw-�,������g���:��QzDkZߔa�C�ܢ(��Z�¯t�{:����-�`@)Bn4��e��Ä �����@�qbh�rs��qn��s��w- lպh����J����{�% z��~����Ŕ5mY4g��g��Ҁ�y��Eg����x�Ag��g���|]������FY��s4F�l���� �Ef١l�s���>�1�[�!DZ�&��Ƣ��]�H^�U��r%7+O��I�� endobj %���� !NY�]��`���>��'ĕ��03m =R\�&��'0� #R�=�4Fꂍb#c�G0�Q�`C����mÖ��5 X�������K�&0�g3��>y3�ԃ.�7��c-pj�M������ഐ��h{�p�}S�p�L��]�G��D���aI�U+*6��>���Y���mH(D��5��c�c�=�!�l���r��O���x��� ��9����8�eA�O�m�>d�����l���N|���.l���W��݀�R�C?��PRO^��|��C���QN�ި���؆p ����,��ئq|�5$��ñd�l[��%����)g\��������~�p�6� �{x�+M,J�����l����Tkl�N�{|��| |��߂�l��E���3̝��c��㲄���]�G�:�u%�e*y]��J����dt䵐�`dtR �wB_2`2rp�17�1.+�/*�� ��k��WOx��Y=�wƘe"Ŭ�y�h��D�vC$��fH^q�c)��Ԩ*�'QQR0�,�4���g�D��-��-�r&_T{-�o���+�XVړj�~�y�04����9k4�Їe1�(�����3�"ł��(�J %PDF-1.5 endobj 11 0 obj 2020 AP CALCULUS AB FORMULA LIST _____ Definition of the derivative: 0 ( ) lim h f x h f x fx o h c lim xa f x f a fa o xa c Definition of continuity: f is continuous at c … <>/Font<>>>/BBox[ 0 0 83.943 37.009] /Matrix[ 0.85772 0 0 1.9455 0 0] /Filter/FlateDecode/Length 274>> Finding Absolute Extrema To find the absolute extrema of the continuous function fx endobj 18 0 obj 8 0 obj 19 0 obj endobj <> endobj �C�h�^5�E�L!6Rf��d&���e�� W ���I���?�$Fǂ�U�-�(P�ʂ Zd�0v�:�=|X��K�!�f�5&M�Q�R��h�a���O����|��{���HJI�[d2)�f�9����j�#x"m(h�m��f��d�-Y#w6�#%�-��6:��>'$7� '1����}��g������i�N��Ӈ����i'J�t��er�n[�Ƽ�Oo� %u��z����s:4^��i�}�琝7��t��װ,��@AE�}d�P�j��*c�7U��6U���;�(y�-����Hyjd�G�S����R���>�/��!5=�kt�1O��(��l��M{�Ġ[�'MU�qEى��27^�#�����k,�x��L�V�ƶ*J�FoV�ƌ� �hJϯ��}��+� 16 0 obj �];��P�P}G��(��9s�in��lbl=�V|�A������=���]y+6h҈23�ڴc!�3��,���Tfƨ. endobj �#������(d˸)���JWJ(hIMު�>�|�S= <> In general, any formula you use regularly in class is a good one to memorize. endobj endobj <> 21 0 obj %��������� Extreme Value Theorem: If f … <> �ď�m�����e*[V+-Օ���:р���o8%A�\CJ+���S�s�+1���drB�aBs�L^�����)0S���;F� �M�O�K� AP Calculus AB/BC Formula and Concept Cheat Sheet Limit of a Continuous Function If f(x) is a continuous function for all real numbers, then ) lim Limits of Rational Functions A. <> <> <> 1 0 obj stream [ 18 0 R] AP Calculus AB Cram Sheet Definition of the Derivative Function: f ' (x) = limh 0 ccccccccccccccccf+x h/ccccccccccccccc f+x/ h Definition of Derivative at a Point: f ' (a) = limh 0 ccccccccccccccccf+a h/ cccccccccccccf+a/ h (note <> x���Ak�0����Cɒ�ƠcMa��Vv*�l����?�MF�������dB͹��˻j�c�ӧw[��\��$B��4g?��I�û�w� 37j(̨��. <2������䟑-M��=-�a����=|�>��X�Xw ��nm�};�S��މ��a��_�#�f���m�%7�]�s��m;���C!�o�i���U�__}�,>���� ��>T*>sӝu��I�v͹���!L6ɰ�@'`hO������g���]�g�z..ݺD(�L�bq�#��:��yl�3;=���|:4�9 5�������ye���+Y�C�kӎ+J( Y��mC\%L�f��5��j}���C�̌�� bĐ5J;�+V�k�s��n4Vi�~j;?�ͅU�fV��X�WiD����F�0�J�@��͌@��5B�8Uéi��ϕ��am�AvR��Q?W}n����uױŶ��rn&��ٛ#�Нș���Hk=��+lu"p�0Ѷ��N��#H4�ղ]��3�z)Y���`��6����#�"��y��+=bR���H��F�(�- �C1=���M���Œ���7�. 12 0 obj AP Calculus AB and BC Course and Exam Description This is the core document for the course. �o,3l��)��j!��B� endstream stream <> max. endobj 7 0 obj <>>> stream ��*�� A���X~��\y� )� O�5o� �xVv�$C}8'_� �j�; ��c�� �lX@jj(��zu? It clearly lays out the course content and describes the exam and AP Program in general. endobj <>/Font<>>>/BBox[ 0 0 77.947 38.009] /Matrix[ 0.9237 0 0 1.8943 0 0] /Filter/FlateDecode/Length 288>> endobj AP CALCULUS AB & BC FORMULA LIST Definition of e: 1lim 1 n n e of n ©¹ _____ Absolute value: 00 x if x x x if x t ® ¯ 4 0 obj <>/ExtGState<>/Font<>/ProcSet[/PDF/Text/ImageB/ImageC/ImageI] >>/MediaBox[ 0 0 612 792] /Contents 4 0 R/Group<>/Tabs/S/StructParents 0>> <>>> 3 0 obj <> stream �@59=G�d���0n��ڜ��]i��/�_���;��$�oJе�����|c2ҋ�ճ���C��lK�g�zG3��� io���7����JmO>jOm�F>)���r����.>�{#8F��$����>o�k:�/5TG��'t������:��n~]}� �H��Je�����_޷Ǘ|�U� endobj ab, then there exist numbers c and d so that, 1.,acd b , 2. fc is the abs. w��?_t�7ic� ���*j�'DĆ���I��� u%[��x�D���]W�:�����q�NU���\�,x����* 鐯w]�pL������/��ω���]��w�l[Z2&TV�!��]�WYF1��r���z�0Oa�h.���FK1�픔��E����LDI˪f�Q��[���r$nB�܄�SRr�i�Q��3�j2`���(1� ����c� LO������R�ޚ����Hj�}��I$�M$�h7���1�*#�����֩� �)�,�3j�n�T���zj�0��`18�K��H���h7>�h��lL�)>s�AG�0�3 �}� >���6��Ha�Ϧ���3��}����4� 2_��|�28T�|�/qC�i0��;췷�3��،��d{�F���s]�w-X}ʃ6�rM�J{������v��"����`���b���o�����ȥ_� X:�|���הN���-HA��M��g�Z@k�%.Q �ۏ��� d�\֜О�-ؾ! << /Length 5 0 R /Filter /FlateDecode >> x��[[o\�~����vQ�_�$�,ǁMc�/VP��U���B�U�������.�#��+if8��7$͎f�}w|v��5?��^�>e����H&;�>����~:�O�w�����q�A�V�+;����hmA{���JozL��>^}��:�qyý̹�x���)c#�ɑ�,f#���\��餜�헳���>�;a�ޢy�wGzv^����b���̑jב^q���s�8=���%w��׋�ͮ���z���݊�]w�oYs �Y���������߰^� 17 0 obj endstream <> endobj <> ����H;��֚���QƝ��Vm��3�����7��ΪB�!�+�g;�uOf$J��=��2�����$��� 13 0 obj &%�GS��&���c�k�TѰ��x�+k�~���^�iot�L�+����o���~ �`g�g�;��SKB�ֹ��������*EO�`T1nb�� �IE�1�9֔�Serعu�L�|L����劍*f��:R�_My~��^I�cu�������&X=T� Z}��3�I�Ӌ� D��1���j���@g� endobj <>/XObject<>/ExtGState<>/ProcSet[/PDF/Text/ImageB/ImageC/ImageI] >>/MediaBox[ 0 0 612 792] /Contents 4 0 R/Group<>/Tabs/S/StructParents 0>> 2 0 obj To find these, simply Google "AP Calculus AB formula sheet" and look at your options. 4 0 obj <> in ab, , 3. fd is the abs. %PDF-1.3 }I�j�J)Vn��.R�|�JP*o�N^���-[J���n��1"J΁�q�nvB����P��r���wÔ�����L*�e�� � r�A��u[���R\q��>/FJ��P,�1a���bL�j�i~B�1��oLÔa[cr��I)Ѓ�z�r���5�7Xӗ]i��|b�+>����g� �(EV��v��6`<6F���_�0� �+�7�� %PDF-1.5 Major formulas you should have memorized include those for limits, differentiation, and integration, as well as the fundamental theorems. endobj ���AN�L���/x���;[0�.� Sbt� <> 4 0 obj :f㵾ad�ve`7n����q����+[��� Z�������V��Hr��7�����Q��������I�̣ESyC��V��.��e��*w�����~�L��� H藨l�ल|������&��nԥP/��ecj�B��?$`w�GD���-�K1[/~��/0�3�~�kꢦ�ZE9��_��C����N�Y �]��V����q)����>8!Ii��D)�3t�}]���0�� <> 1 0 obj x��\mo���. stream 1+cot θ=csc 2 θ 4. θ sin(−θ) =−sinθ 5. cos(−θ) =cosθ 6. tan(−θ) =−tanθ 7. %���� AP Calculus Cheat Sheet Intermediate Value Theorem: If a function is continuous on [ a, b], then it passes through every value between f (a) and f ( b). 15 0 obj ���Qަ�{iQԿ�h4�e�9��vJ6籦s��A쇐��k�>� ���e���&���:+��� in ab, . <> ��9?z0�'�S.�(�5 ��`�۵b͌�����(wa7`�+u�VW6Ɖ5�Ai���=������j�L멋�!�����'.�h��E����#�*�R��hcAh��ێ]4Z�"ҥ_&�R1|z@Sӛ��T1|z��Q��^��u�{��dܔ�/� 3 0 obj endobj x��Y��Fr���+��ҪZ3��Q��붼���o ����ʀa����/"f&�YU=3i@�Ȉ�����_�ֿ�-�M]_�k_�������~z�kW�Uo����?s�?������9�f��i]��T}��~�S�tuW����>�=�-?Oo���+{�=����Ǘ��T'w�^�O/��{7������gǺ�7{|J��C��������Sl���NqZ�鼟b�P?�Ԝ��dp'gw⯴�y�_�3��{IF���>�C��c*��~O I�L� 2 0 obj AP CALCULUS AB and BC Final Notes Trigonometric Formulas 1. sin θ+cos 2 θ=1 2. endobj

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