{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Old Midterm (Spring 02)

# Old Midterm (Spring 02) - MIDTERM[EXAM CALCULUSJ FOR THE...

This preview shows pages 1–3. Sign up to view the full content.

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

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: MIDTERM [EXAM] CALCULUSJ FOR THE SOCIAU AND MANAGEMENT SCIENCES Matlﬂ ﬁ' ﬁpring (There are 6 W E 3111 together they are worth m. You my bhoose t6 do w on E 01 m questionsl m m M M question, as a percentage, is am m [be clean and precise in youn solntionsl I merommend lhatl yom Hisplay all youn working. Do not writd on thd exam paper; Write all M Solutions in thd blue books provided. [1. Thel Eoﬂowing is thd graph of al ﬁmcﬁorﬂ y 2 W96), ﬁll m delemlind Ehe foﬂowingj The sign—chart of thd function‘ y 2 ﬁx) Q] The sign—chart of thd deriyatiyd )7 2 Wk] The sign—chart of thd second deriyatiyel E" 2 Wbc] DU not providg w explanation. m FUSE GRAPH] FROM SPRING M MIDTERM [PROBLEM] I bontinued Bl Sketcll thel graphl of any functioil y = tvitll thel following characteristicsj 9 Horizontal asymptotg at y = —2. D m asymptotea atx = l—2 ME 2 Al b x—interceptsl atx: 3122: —3,LZG: 0, andbale p y—intercept at? m : (I b Sign—chart {of Q -|ﬁ|-|-|ﬁ|i|- l—S-3-2 D 4 5 D Stationaﬁ all (—4l4), (2, j, m (7, —3]. i Holes BIA] 2 H andm 2 6i M a large, careful diagramj tld not gravidg w exglanation. 23% —x — x2+2x+ ﬂI-amy: 3_ MWEMZE_4Z. Determine thd following: Q] m m m asymptotea Efy any] (h) )a land M tnterceptq of m (if m Holed of y g (d) Sign—chart bﬂ M Q] The equation bﬂ the @ ﬁ y a x : ll. 0] Wgn—cart iii y’ Dd m bﬂer any explanatiorl [2a]: clearly Show yoan Morkingl Dd m sketch ma graghl 93% Al mmmﬂgraphiadrawmimmmm H onthepreviouﬂgggiﬂthdderivativd M = L’- oﬂ a functiorﬂ y 2 lwithl Which [I] am working. (Notel Iﬂ isl thel graph oﬂ the derivatin M = f’ (x) non of thd functiorl y = M.) (a) [Find landl analyze the vertical asymptoteg of the functiorl y = ﬁg) E] Find and analyze the htationarﬂ points oﬂ thel function 34 = f (x1 (0] Determind whetherl the graphl oil y = ﬁg] id concave up or concave tlowrl an the pointsx= ﬁnd: ix: —ﬂ,,andx=4. Maw small diagrams ta depiczl ma type ofeacll LA bad SP, bad Lgivel brief reasons for all W amwem 20% Eontlnueil] 51 mmemnealeahldisitghemnfmnjpowerplantaﬂapointW QnQnehankbﬂariventhaﬁ is 201] ttneters widd to a [actorx at point B on the ppposite bank bﬂ the river m ttneters denstream from Al The cabld ﬂ run id a straight line from A! alﬁg the bank\ for a certairidistancetgamamthe—Mkasﬂandtheninaistraightﬁneﬁfe @1113; Edmbﬂthdmﬂnﬂthdbahldthatm‘[email protected];ﬂﬁmsttl theﬂpart thhe eahlel thatnms undeﬁhvateris \$13 permeteL LEXpress thd Intaﬂ best thhe cable as a functiorﬂ oﬂ thd distance from A to Q Clearlg denote Mat eaclﬂ of your Mics grands [on 117% E His agenera! facthCZlcnlns that, ﬁfﬂiederixatixe Qﬂthdhmctinnyzﬂx] i3 M = .p them the derivativd Qf thd funetiQn W—x is —g(—x . KSOJ thr instance, sinee @:6)d— 9M = 69d 51 it tfollows thaﬂ (at xﬂ 3( x) —9)' = —(6( x) 5).) Givd a —ﬁge0metrzc explanation bﬂ this general tfactJ Clear] disglax all thd stegs of youﬂ 117% Pk>X<>X<>X<>X<*******>14***********\$\$\$*****\$\$\$\$>ﬂ ...
View Full Document

{[ snackBarMessage ]}

### What students are saying

• 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.

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

• 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.

Dana University of Pennsylvania ‘17, Course Hero Intern

• 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.

Jill Tulane University ‘16, Course Hero Intern