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solfinalexam2004

# solfinalexam2004 - lQue stiun 1 Calculate Question 2...

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Unformatted text preview: lQue stiun 1- Calculate Question 2- Consider the follc-whlg function: ﬁe) = 39:2 + Calculate f’{2). {Fla}: £36-31 15%;): é Fri; 51-:- : to 2 I Questinn 3- Find the equation of the tangent iine tn the graph {If y = 1'3 — 23:3 + 5:: — 'T when 52:133. E)y:—'!}\$—B yr 33:1 HHK+ST _ IH wait. at, shrar {5 B-f‘_a-1+5 = E: . 8:. Ha- arm-tan is “'t HAL gin“. f” 5X+L “1:, gal é , use 3(1),:11-1-214'g-1‘}: 3 in {jet 3: 93—14—12 ea 6:-15 5i trim; ya‘iiw—IS Question 4— Suppose a demand function fer a pmduet is given by 11(3) = warm — 39:. What is the eiaatieit}r [if demand when .1: = lﬂﬂ? Ia demand elastic at this point? ‘ C} —§= inelastic D) —h%, eiaatie E] —;—’: eiaatie Hg . I 351—- ( TL“: 1m - ‘1= we) t -w. 3 1had*)< A) - ﬁaﬁiiiielaatie- {f —-‘5w :; 'EnD-l-l E 35-! ll .k" L [I '— 3'" - l _, #9 Hum -_- L : ,.__ Questinn Eq Suppnsn y? 4 yr?" + Fig: = El. Find :1? at. the 110th {[111}. Ma: (3)0 D)1 E]~3 9‘ Dlirytxnkﬂul ; 3233*[3] i} 1K 9L1 all ”r Jr 1);" _ r #1142: r: 1 \$32 :9 — -=' (V FHKJPH‘KXEJrVE P ‘C 3 pl .91 Lﬁ+j£i 4- 1» l 4-1.1: : D ('5‘) act _ “EV _ if: :55 ’7' ZIPﬂ“ A :1: = _—1 is a local max. 2 D}m=215alocalmjn. E}a:=" 2k 2;: n Tue”; 5.: j" in: Question 7- On what interval i5 LhE'. functinn g{m} = {1‘2 — «4]? increasing? A] (-51: 95¢} 13} [—1,1) ‘3) {"0010} 13} U1: 06"} E] (-33} {Slfx}: \$(x'znﬂtjg-ZX TC"): 5 (:21 x=2 5r r:—Z w 5:“;(3 at “- t: 4- 9+1 -——--l————+———__f___. -L D 1 ‘3 9:: c) 'MCJnaaLEeC, an (DJ-:35) . Questinn S— [I ﬂan-J is a function such that, f'{:r:} = 5372 — aria: -{ 1 and fﬂﬂ} ; 2, ﬁnd f{2). BJH (3)15 1:013 E)2ﬂ so [gt-V}: argylxlri' k‘i’z M1 ELK): ZEgHZ'ZZ-E'l-I-Z ~ 1E. —— :9 +- 1+1. Lll Quaslziun 9- CaJCulate: dd 1 t AJ‘E—f B}§ a]; D); E}§ 1'2. ngiZ 1. I gﬁglh =[E‘Gv10j I l f 3 I 3' = it?“ 21) ~ “15a“ F) l 3 | 3‘ = 1'1 “=90 _ E ' ET Questianlﬂ— f: 23+1d33= A)? 31%; a)? m—U mi: q _ 32 SHEHH Dix :_ LéﬁixH-‘j/j a {I a £1. = L_%(1k+l>ll.}lkJ-I] Queetinn ll—Calculete: Web .2 1:5 E} E C} '5 D} The integral diverges. E) :2- (Ai— _ hi: 2’ L 19thqu L h! f»1 =wa~ [mi—£27111) ram 1. =« (9 4' ear * e-e Question 12- Supp-me that for e eel 5.11111 pTﬁI'lIlﬂt_ the demand [unetinn is given by D1::t-'J = 5:2 and the 3131121313,r fuuetiun' iE given by 'i'fz} —- :r + 2. Calculate the predueer surplus. €00; 13m (:3 H1: ESE. (3’) (it Hair—'15 {:5} KEA' 1: x 4- h :19 Questinn 13—1i‘f[:c,y} = 3:2 —i— .133; — 31:2 +4, calculate LED]: 1}. M3 1314 @17 mg E}? {:3 23%;, '50.“ i(i_f):1'1+i:§ 1:” Question 14— Fiud fig-{mill} for ﬂay} = xylem- AH: .632 D]3 E}-i 1 ﬂ 3 = N“ *7“ *'-' r? * ’22"? ”E z 91an +1xfa’y4-wﬁ Ht}; Fla! H4. 5‘ 4— 1:; {-— D d} Lain); Question 15* Gnnsidcr the functi-Jn f {32? y] = 8 + 4x —. 2y — m2 — yﬂ. Which 0f Lhe follnwing statmnenta i5 mrrnct? A) Hay) 1135;: lucai minimum at. {2,1}. #77 E} f[l‘,y] has a 10ml maximum at {2,1}. C) ﬂLy} has a saddle. paint at {2,1}. D] ﬂay) has a saddle paint at [-1,-1). E] ﬁn H} has a saddle point at (1,—1]. it? __ Li ,1 F ; = X: Z 2 T,» ' k (‘1! o > 5‘;ng { \J v: {xﬁramm 31? I ZFZX I? = c:- =‘) 2/: J— :“1 {£10 : :1 . v-z»: — ‘3 fir : Lil, OI>D, ﬁkx(2,1);—2_ it: I15m Lung Answer Question 1 (13 points} The manager of an apple orchard wants to harvest. her apples at. a time‘that will maximize revenue. Currently apples are selling Jfor 35 cents per pound. The price will deerease by 2 cents per pound for each week she waits. Each tree in the orchard now has 35 pounds of appies, hut. for each week she waits, each tree wiii gain an additional pound of apples. How many weeks should she wait before harvesting? He sure to explain Why your answer is an absolute maximmn. i/in'iﬂ— 'For “4; Mum Lt?” at}; [Dali-H1035 F gr PM. ##an En Mufti . t{er i’iat [HZ-2c [m Ccair 35 - 1+ (is Twines Hi RH): (96 2iX35+10 We Miami in Waktmt?e Hui; 5a ..__. xi : 3574*‘6 i’ #i-EL-L‘; {lg ﬂ Maximum ggﬂe Enid") .1: “-‘Lf I- Question 2 ['15 points) Cansidnr thin EWG fund-10115: ffm)=rr+2 and ﬂat] zit—m2 {3.}{3 pninrs'} Find the intent-cum points nf the graphs uI the tun-:2: funntinns. (hﬂﬁ paints} On the next page, graph them i'lL'rmticum;1 and Shade the Teginn haunded by ﬁx},g{xj,m : D and 1? = 3. {r.}{ﬁ paints] ﬁnd the area of the shaded region. {1‘ Qleg-chﬁfacfpéj K‘+l=- lab—>61 :‘j Klik’HZFC’ (‘E‘j' Ji':.'n 3 k':-1 L9) ‘ 3 {J Ann. * S SEED-ﬁx} ah; + Sﬁhuﬁfﬂ of": {'3' 1' I : EHKEHHZ of} 4" gX-l-I'Jr‘H-l all: 1 _ [ 3 3 1 “g, 1 ._. __,‘K :1: 5,5 x o -. l' l N 2.? 3 I I' :(.*%""2*3)'0 4- [3+a*é)*[1*1 1 r = g "I “L! -'r 34 ’11 - é .. 1». .rr _?_. H 0'2. 3 U L5 Flu: 11 12 Queatiun 3 [12 pointté} Camider the function 01' two variables f {1n y} = m3 — 5.171; + 3y2 — Eu": + 7’. Find all criLical pﬂiﬂtﬂ and identify their type. 13 ...
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solfinalexam2004 - lQue stiun 1 Calculate Question 2...

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