M 408C-Goddard-Fall 2004-Test 1

M 408C-Goddard-Fall 2004-Test 1 - / q'-t 408C Exam 1...

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Unformatted text preview: / q'-t 408C Exam 1 Name/EID :\0 Calculators, notes, books, friends, cheating, etc. Each problem is worth 10 points. 1. Evaluate lim (x - 3 J( fi ~ f)<.\:. 0- ~"-:,) Cfi ~ JX) x~3CV3- Vx)( f~-\- S-x') ,,-'l:) 3 ~ ~ - x lD ~ (Ji~.r)C\-~ J?, ~Jx. = ))-\-)3 z:-2~3>- \-, 2 F · d li tan5x . m I m - - - x~o 3xcos 2x :: ~ $)( ~ s~ ,,-S)( L _\ L- ~, (.0'::. L. c 10 l\.--'0 ~ ) ( f\- ...• e» S,< K.-i O (_ ID 5 \ \ f \-w- , I- ~ ~ 3. Find dy/dx if y = 4~ + 2x 5- ecx.- vx3-- --- ~- -- - - - --- - - - - - - - - 4. Find dy/dx if y = jsin(x 5 ) X2 + 1 . - 5. Find dy/dx if tan(x 2 y 2) = 1 + y3. sec.?.(r ... 1 ....,-.y>c"- 1') J I-\ J '2. 2x J ~ r " " I 'Z . I J j ~ )(.'lJ l' ~~"'l.("{'l~l + AA,:)'S4'lH-/) '" 1 1 ' - J' 'l '\.--z. G "t.. ~ '\ _ '/ <. I '1 'Z. I 2,-/ 1.. 1.,\. o\~J 'i>{L f\..) J - 2>'j J - LK J J ~~c.. l."'- ) ') 'U< J C "",,'2(11.'1 2 ') ~ J' ( < ''j , - )>cc J S < L-z. C ,,'" J >- ') _ (-:. 2>C J 'Z ~e.c L LK-l. J 1.) _ . J ~~Z ~.z- 'j S<--L'Z. (-( Z '1 L)) 6. Fmd the absolute maximum...
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This note was uploaded on 02/09/2010 for the course M 408c taught by Professor Mcadam during the Fall '06 term at University of Texas at Austin.

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M 408C-Goddard-Fall 2004-Test 1 - / q'-t 408C Exam 1...

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