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# Test2Page1 - w MTH 2001 211d Mdterm Test Fall 2005...

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Unformatted text preview: / w MTH 2001 211d Mdterm Test Fall 2005 Instructor: DI- T. Kiguradze Name: L15 0'1 SLM‘W-Ow’kq" W/MJ 1.(15 pics). Find the unit tangent and unit normal vectors T(t) and N6), and the curvature /ofthe curve r(t) =< 23int,5t,2cost>. . 1 "“I ' m]: M) M3 j T a) .., , a ’0» 1 \‘7 red ,9ng )5: 1935;” \ mu t um YF'G‘) ». <Jc°=1f3 ‘3 ‘ K AW‘LM ,. m u 1%;ch \W‘L’OU- mi @543“ ’r x.» w = «“77” ‘M {ii ”15.1081 i—ﬁ‘ikk \$.01 £1“ (ask 7 431‘ A,k‘k 1-.- \\T X“ int}? J'éé’mﬁ4" 5 Q" fox -Qv' KILL , 1‘ ' ;_ ‘ \ , it. {if}? 91 ’ 5km farm “sax 2.(15 pm). Find the limit, if it exists, or show that the limit does not exist. ‘ - P :- . 23% if woo rt; , (CD?) (amigos) 2:" +y’ a”) mlx’ﬁfoph I 3, '3 \ ’ a? ‘10—; x3- \~ 3%” ‘1th "A \ J'igﬂfgh+ PTHU 0'\ \ ‘m __________/ 1 ’ (X99) At £710.) 5““ 3'3“.“ an?" / cm HM ow; _ himit ML; \[v M 3.(1o pts). Find the indicated partial derivative: Mr, 9) = 5'9 sin 0; 73%;. %- ': QYGCmG + reﬂgsshﬂ TS {ﬁghts}? as“ as“ = Sqfamgél \- Qfssingl 4- @rtﬂgg‘hS brag h .353; 31’ ES (’BTDT‘SEE : an‘racusiﬁ + @QJ’GSN‘hS t Sevea‘rﬂ *‘ ngaraﬁCmQ B 5;)“ : ﬁerﬂ (8(056 *‘QYW‘Q 4‘ ® WE) ...
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