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 answer is correct in each case.) Use the functiott f (r) : r * 2sinr for questions 1. and 2. t. (r): r*2sinr htrs a local min valne on 10,2r] when r equals A) TB) ?c) ,,fif)E) T ry 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 =Z{,r{ bs% '72 1o =) "(o!) =-t(-2),. + f(g) -hc. {ryt u tvtint . 2. (r) - r 1- 2sinr: has a local max value on l0.2zr] whetr or T c) ". A- D) a. E) ''' . '3 3 Write your zrllswer in the box. Only the answer in the box will be marked. 3. Suppose that the derivative ' (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 ) fta; qbs -FI is tnre? / has an inflection point at :r : \. @/ ttot an absolute min lloiut at r 1. C) has a local nrax point at r : -2. has a local tnax point at r has a local urin point at r ,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 answer in 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 1n 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* r,.-@ X+x,16 --[u I rc'rffi A) -o. B) -1. c) 0. in 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. -1 only. C) 1 only. D) or 1. F) None of these. -linn f fyl (;p- x)ar - ,ao, /t\"-- {fil - -&'u- 7+ a"' T-+a' fto\ A-A-sa + 12-2r+a, ifr>a r-a, if r1a Q=o -&=o :) a(a-t) =o I. I I ?_ 4 4r1 Write your arnwer in the box. Only the answer in the box u,ill be rnarkecl. ---'l E ) | 7. Given y * arctan(rU) I, compute y'(r) when r: 0. D) 1. E) 2. a\ _t 4t+ '1 *TY =o o L t x2.72 =) 'X'fol + 4".he n X*o :) , // + anetan (o) L @ 1.
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F06ExSol - \ LITH 140 Exalr. FaLl2006 So(ttl,cdn a Part A....

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