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F06ExSol

# F06ExSol - LITH 140 Exalr FaLl2006 So(ttl,cdn a Part A...

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\ LITH 140 Exalr. FaLl 2006 So(ttl,cdn a Part A. Multiple Choice [3 rnarks each] (Only one answeris correct in each case.) Use the functiott f (r) : r * 2sinr for questions 1. and 2. t. f (r): r*2sinr htrs a local min valne on 10,2r] when r equals A ) T B ) ? c ) , , f i f ) E ) T ry f Lr>= 1-+€ eosx , |'..x)=o =-) f"(*)=- Qainx, {'t(T) = -re) F) None of these. Write your answer in the box. Only the answer in the box will be marked. D f =Z{,r{ bs% = '72 1o =) "(o!) =-t(-2),. + f(g) -hc. {ryt u tvtint . 2. f (r) - r 1- 2sinr: has a local max value on l0.2zr] whetr r equals or T c) ". A - D) a. E) ''' . ' 3 3 F) None of these. Write your zrllswer in the box. Only the answer in the box will be marked. 3. Suppose that the derivative f ' (r) : (r - t );r (r' + 2)2 for all real numbers r. Which of the following stateurents I f ( D = o ) f/rxl:o +'{ x<1 {?f) ro i( x>r *tin. F) None of the above is true. Write your aruwer in the box. Only the answer in the box will be marked. ) fta; qbs -FI is tnre? A) / has an inflection point at :r : \. @/ ttot an absolute min lloiut at r - 1. C) / has a local nrax point at r : -2. D) / has a local tnax point at r : 1. E) / has a local urin point at r : -2. ,44x .

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I| r"alr= f#? eo^ t* R=t fleray= e'J:=€-L. Write your answer in the box. Only the answerin the box will be marked.- = /'t ytt x-'@ D. llm equals : r + - m : f _ /---'---;- v.r' D"r f ( r ) : If ./ is continuous at o, then o equals I\,ITH 140 Exant, FaL| 2006 1 n 4. Using integration, Iim l I "fr eqttals tt---.,.x, n u_, A) 1. B) o. c) : D) e. F) None of the above. = A].t* X+x,16 --[u I rc'rffi A) -o. B) -1. c) 0. Write your answer in the box. Only the answerin the box will be marked. 6. Let a be a constant and let <li*u 4 - a+-tp t+,@ D) I E) oo. + 4 - = = rrt 2- F) Norre of these. A) 0 onlv. B) -1 only. C) 1 only. D) -1 or 1. F) None of these. -linn f fyl = (;p- x)ar - ,ao, /t\"-- {fil - -&'u- 7+ a"' T-+a' fto\ = A-A-sa + 1 2 - 2 r + a , i f r > a r - a , i f r 1 a Q = o - & = o : ) a ( a - t ) = o I . I I ?_ 4 4r1 Write your arnwer in the box. Only the answerin the box u,ill be rnarkecl.
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F06ExSol - LITH 140 Exalr FaLl2006 So(ttl,cdn a Part A...

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