{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

M 408C-Goddard-Fall 2004-Test 1

M 408C-Goddard-Fall 2004-Test 1 - 408C Exam 1 1 Evaluate...

Info icon This preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon
/ 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 Im--- x~o 3xcos 2x :: ~ $)( ~ s~ ,,-S)( L _\ L - ~, (.0'::. L. c 10 l\. --'0 ~)( f\-...• S,< K.-i O (_ID 5 \ \ f \ -w - , I - ~ ~ 3. Find dy/dx if y = 4~ + 2x 5 - ecx. - vx3 - -- - - ~ - - ----- - ---------
Image of page 1

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
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 and ~'J. interval [0,4]. irumum of f(x) = 10 + 2!x - x 3 on the ~ L,,-\ ~ \-0 \"2--lK _ K). <. t 71 It ~ l'/ -\-~ -z ') 4 1.1 - ))CL -- '2-1 ,..-- '( 2 -=- ,'\ j.o; ~ 01 ~ - ~~'S W'\,\ -'" c;...\ ; (0 :.. lO ~L ") ~'l' r- ~ ( ~ );: 6 "'\
Image of page 2
L \(L~ ),."'-\ - \l~) h-">o '" 7. Let f(x) = 3x 2 - X + 1. Use the limit definition of derivative to show that f'(x) = 6x - 1. L (b{'(~-h\'- (~\--h\'" \ - '-- --S~l.-)( \-\) \-.-10 '1\ I ""\","," _ C~~2.-)( \ '\ ~~hl..\-31...1.0- \r\tt~ .H(71 ;;- :'(K l •. z..~1,.. -\I,. I-C'( +- '" ) F \A. ~~O h ~ (,(y< -\- 1>"'-;( -\).< \--.->0 y< 8. A particle moves in the 1st Quadrant along the parabola y = x2 in such a way that its x-coordinate increases at 10 ft/sec. How fast is the angle of inclination
Image of page 3

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 4
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern