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Sol-161E3-S2010

Sol-161E3-S2010 - MA 161 EXAM 3 SPRING 2010 l A bacteria...

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Unformatted text preview: MA 161 EXAM 3 SPRING 2010 l. A bacteria culture initially contains 200 cells and grows at a late proportional to its size. After 2 hours, the culture contains 600 cells. How many bacteria are in the ~ 7 22:6; “22:32:32” 2 2: 2 a g 2: 2 2: :2 :2 :22: E B. 200 :31“ £253 5):? mjglflg/é‘gg G. 600 e222 :2 2? 2M“ {:13} 200 321113 5%? g 2::- Q2/2222: E. 600 e21n3 /< 1? 275/313: 2. A particle is traveling on the ellipse x2 + 4312 = 8 (in the first quadrant). When d’y d9: y=1, Et-=l Finda. X‘Wg%“% 1,355}, A. —l * :2 x 2:3 2:, 2:2: :2 2 i :22 2f? 2 o.—4 22:2 :22229222222; 22222222222; D.2 Q2: 2: :2 “‘2” :3; gig: ' «vs-f?)— Q2 _§[§:i): Q2522: 2292/?22? 222::2 of: MA 161 ‘EXAM 3 SPRING 2010 3 The volume of a spheie (V: 37rr3) is in01 easing at a rate of 4 cm3/ min How fast: 18 the radius increasing when the radius is 4 cm? A W A f 61 J . ”(If 99%“: .b, 9‘ 43 ”a 9 in :: {flab ‘3‘ 9 9‘ 9 i :Jllewcm/mm 3/ g? ’j 32% r “Ev/fl“ i ‘ ’6’ M4”. E3 {5‘ 479 Cm/ min fl €5,957 2% i’m ’9 m“ M {w 0-1 w 4M i 127r Cm/ min 9997999999 3 97¢ 9/ E9799 1 55 D 6712/ min 999/997 2471' (99:99 2 E. 1 / i 99:99 32—79 cm m n 4. Use linear approximation to compute the approximate value of \/ 24.5. A. 4.90 ajfl/fig/TS 939;”? @495 fi/Je“) g‘é" C. 4.99 D. 4.80 «fifwffi £[flj4 iziiéijfiwfl) 114.995 @9996 X 993%g: g; :3?“ ' 99w 4M @i/Hfiéf fig“; 995/; a i , ”49% mg, j 71:75 3’2“”? 9-3:” 74:5“ NE a; e? so 3” :45” x7e 723%: W M ML m5; :2 We» 53%” 3 mfim fig 53 § § W%f??§f<:§;j MA 161 EXAM 3 d 5. Compute —-(cosh(1n:z;)) When :1; = 2. P ‘2 9 “x82 P“ Nah—4 col-<1 OOIOa >D~ICO 0010'! EU 6. Find the absolute minimum of f(:1:) = ——l A. ~37 «a B' :1" 1 Q ‘1 E 9 d3: L. (132 45‘ ”M (Kw; -/ w 2?: (2m; a; 3” a: +2 on the interval [—4, 4]. .mr =6 EQWXE“ WM (1.9 7%?) “:3 FM SPRING 2010 3;in 221;) MA 161 EXAM 3 f )5 7*(’%>0 SPRING 2010 f’lflfl 7. Find the absolute minimum of f(a:)— — 3:724 — 4323—12932 on the interval [—2, 2]. A. 16 , ' J 3 a 33»; r“ 1 2E ”m N: A; x W ~ 9 @222 B. 0 2 . C._ —32 \V‘1 E D. ~16 E. —24 . E64) 2:274 $44; 22.1%., W35" “NW—Va 43(2) ) s: 41’ A) who): 23; 8. Assume f is continuous in [1,4] and difierentiable in (1,4). If f(1) = —2 and CC: 3 S f’(a:) S 5, how small can f(4) be? ‘ A. mas 29%?) 2 E77) 7: E//a)/<’/-»«/> 3- 1‘00 2 9 C.f(4)26 :2“ 3 EEK/2*) @EfMD" :7 3 , ‘3 :4} E. f(4)211 ‘ _ EM/2 2Eu>+€ 2;; +227 CE? MA 161 EXAM 3 SPRING 2010 9. Assume f is a. difierentiable function Whose derivative, f ’ (:3), has the graph given by: Which of the following describes all intervals on which f is increasing? @X—z, 2) u (4', oo). B. (—22) u (4,6). «Pf f . .+ ,7. , + C. (~2,1) U (3,5). M"; ,1— 4/4 D. (—00, 1) U (6, oo). ', ~ I, 7\ E'(—°°’1)U(3'5)U(6>°°)- 9;me MA 161 EXAM 3 SPRING 2010 10. For the function f whose derivative, f’ (:12), has the graph given by: y find all values of a; at which the graph of f has an inflection point. A A" a; 2 "1’2’ and 3 ‘5 i w KI' 7x ; J6 / 01 a ”PUMP—HM B. a: = ——1 and 1 (L r)" % Cg} a: = 0,2, and 3 1/ 4‘ i— D. a: = 1.5 and 2.5 SE!“ 10 5 "’ L fiwmkw‘l E. $=”13012)and3 fl 0 Li ’1 L} ‘ F5 MW 11. If f(a:) = 2:133 — 15m2 — 36:1: + 1, find all values of as at which f has a local maximum. A: “"6 "10 ‘/1'<">:é><71x3zflx~ 314 : 4;» (x91 flaw Q") ”“1 i: Q Kx~~¢5M><+IJ 5' :i , ’ :20 22;} jité/«Bfi C/zxié%. fl 7’“: E. 95:7 01/66): /; )5” 30 :: é fix“; )2 4*”w): @{*[&_5~) >5}: U Wé‘z/flwv P” m -- 9 (“Wm <ofl Mil/w , / , ’ a,” v‘ , Qfiid 1/24 625/): /M/ X «» / ég/ :3. r 7 MA 161 EXAM 3 SPRING 2010 12. Assume fit): 4.13th + t2 for —£ < t < 33—75. Find all intelvals on which f is concave 2 2 down. 471' 37r JV/{/53 S/[féléigz fit‘ A (~— —>u<— ——> ‘2 ‘( 2.2. ’2 ’) Q 23 (mg @2252 322) 2 u/ 2/2222 2': 7‘ 2 f ”:0“ 7:} $232322 'f :: ' C? m 2‘2 >52 2222 22/4 22: K}: g/ _72 5224/22?) 2: 952 +‘ 3 <C§ “(4/ (2.4222222 m 15: 725)] 3/“? {\‘1/ 777 “7+; >ZL1‘; ('6’; 07/0/24 [42%]??? : /, V 2 ,2 r r j \ l3. Evaluate Iim W Ahg ’ (£33 (/2: K5300 In a: A. 0 C ‘7 “W" ‘ #22: £3 222 572%. -f5”f’“/22~7m 2222i? B 1 5M» 2 C. 1 (J/ xi .3222» 2..“ 2 4/2251 I'7L‘k' Q} 2 x‘/'M:)£d}<) “La H E. 4 )C a 2/ 15 flap/2A7 3" [/1121 222); a 2.5L 3: 22222 {L 5., 2222-2752:.) I 757' } ’ x 2—9242 X 2/ / /Lflj ,__, 2» 124%” :— v - 55/222 55 :k’m7w MA 161 EXAM 3 SPRING 2010 14‘ The graph of y = :63” looks most like: ...
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