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# StudyReviewfor408K.pdf

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This 10 page Bundle was uploaded by Carlos Trevino on Wednesday August 27, 2014. The Bundle belongs to a course at University of Texas at Austin taught by a professor in Fall. Since its upload, it has received 308 views.

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Date Created: 08/27/14

This printout should have 45 questions Multiplechoice questions may continue on the next column or page nd all choices trevino cot243 My Custom Review miller 91432 before answering If the function f de ned by is continuous everywhere on 00 oo what 001 ms 100 points c1 7 3321 is the value of f1 1 f1 3 2 f1 5 3 f1 4 4 f1 6 5 f1 7 xlt2 22 A certain function f is given by the graph 002 part 1 of 3 100 points Find the value of lim JI gt OO Enter DNE if the limit does not exist 003 part 2 of 3 100 points Find the value of wligtmOO f Enter DNE if the limit does not exist 004 part 3 of 3 100 points Find the value of lim E x gt 2 Enter DNE if the limit does not exist 005 part 1 of 3 100 points Consider the graph of Find lim p9 x gt1 006 part 2 of 3 100 points Find lim 6 m gt 1 007 part 3 of 3 100 points Identify a function that agrees with g1 in all but one point 1 None of these 2 y 2 1 3ya2 a trevino cot243 My Custom Review miller 91432 4ya2 1 5y12a 6ya3I1 7ya1 008 part 1 of 3 100 points Consider ga log5a 2 a Find its domain 1 0oo 2 oo 2 3 2 oo 4 None of these 5 oo 2 6 oooo 7 2 oo 009 part 2 of 3 100 points b Find the Vertical asymptote 1y5 2x2 312 43320 5 None of these 6y5 010 part 3 of 3 100 points c Find the 1intercept of the function 1 2 0 2 10 3 10 4 00 5 6 0 011 100 points Which of the following functions is de ned and continuous on 0 oo and agrees with mm fib f fora7E36 1 993 61E 2 91 2 25 3 91 6xE 4 W 233 5 1 gT 639E 012 100 points Consider the limit lim 1 7r2 tan2 x gt7r2 and identify which of the following limits have the same form If none enter none A mligtr 1Olog3a 9 B lim 1 sin1 x gt0 C lim 1 arctana 7r2 JI gtOO D lim ex 52 1 5 x gt5 E lim 12tana OO 013 part 1 of 4 100 points trevino cot243 My Custom Review rniller 91432 3 v 5 0i a Whatis the inverse of graph A 1 Graph H 2 Graph E 3 Graph G 4 None of these 5 Graph F 014 part 2 of 4 100 points b What is the inverse of graph B 1 Graph E 2 Graph H 3 Graph G 4 None of these 5 Graph F 015 part 3 of 4 100 points 3 What is the inverse of graph G 1 None of these 2 Graph E 3 Graph G 4 Graph H 5 Graph F 016 part 4 of 4 100 points d What is the inverse of graph D 1 Graph G 2 None of these 3 Graph F 4 Graph H 5 Graph E 017 100 points Let 56533 and g1 em3 Solve the equation for x f1 91 18 1 1 ln25 2 1 ln24 3 1 ln23 trevino cot243 My Custom Review miller 91432 5 1 ln27 018 100 points For what Value of 1 does arcsec 233 0 7 100 22 3 None of these 5quot pm lgt LD 019 100 points Determine the limit 139 2 1111 T m gt1 L 12 1 limit 00 2 limit 2 3 limit 00 4 none of the other answers 5 limit 2 020 part 1 of 3 100 points Determine the Value of 18 l1m 1 gt2 132 1 limit 00 2 none of the other answers 3 limit 00 4 limit 4 5 limit 4 021 part 2 of 3 100 points Determine the Value of 8 lim 1 m gt2 B2 1 none of the other answers 2 limit 4 3 limit 4 4 limit 00 5 limit 00 022 part 3 of 3 100 points Determine the Value of 8 lim 1 m gt2 B2 1 limit 4 2 limit 00 3 none of the other answers 4 limit 4 5 limit 00 023 part 1 of 2 100 points Which of the following statements are true for all Values of C I lim 0 gt lim 0 139C 139C 11 lim fx 0 gt alirgtnCfx 0 JI gtC trevino cot243 My Custom Review rniller 91432 5 II only Q Neither I nor II 3 Both I and II Hk I only 024 part 2 of 2 100 points Which of the following statements are true for all c and all L I lirn L gt U S JI gtC 11 lirn fx L gt lirn fx L gtC gtC 1 Both I and II 2 II only 3 I only 4 Neither I nor II 025 100 points Find the value of 1 limit 2 2 limit 2 3 limit does not exist 4 limit 1 5 limit 1 026 part 1 of 4 100 points At what 1values does y 1 x 32 have a vertical asymptote If none enter none 027 part 2 of 4 100 points At what 1values does y 1 1 3 have a limit of either oo or oo If none enter none 028 part 3 of 4 100 points At what 1values in the interval 0 7r does y tana have a vertical asymptote If none enter none 029 part 4 of 4 100 points At what 1values in the interval 0 7r does y tana have a limit of either oo or oo If none enter none 030 100 points Functions f and g are de ned on 10 10 by their respective graphs in Find all values of 1 where the product f g of f and g is continuous expressing your answer in interval notation 1 c 103l310 2 c 1010 3 i0 4L 4u trevino cot243 My Custom Review rniller 91432 6 4 10 4L310 3 5 10 4LJ 43LJ3u Find lirn x gt1 031 100 points Determine which if any of the following functions is not continuous at 1 3 033 part 2 of 3 100 points Find lirn x gt 1 1 1 1 13 Z 3 034 part 3 of 3 100 points 1f 1 1 lt 3 Identify a function that agrees with g1 at 2 all but one point a 3 1 7E 3 2 f av 035 100 points 0 1 3 Find the Vertical asyrnptotes if any of 3 all continuous at 1 3 131 27 ms H1 4 x 2x3 753 9 1 1a0a1 1 1gt3 1 2131 5 fw 393 39 1 I lt3 3130 1 4 a01 1 6 f x3 753 5 1 3 23 39f 032 part 1 of 3 100 points 639 1 2 IE1 Consider the graph Of 7 None of these 8 No Vertical asyrnptotes exist 036 100 points Which of the following is the graph of trevino c0t243 My Custom Review miller 91432 7 037 100 points For which Values of 1 is the function 9 fltgt not continuous 1 1 9 5 2 1 5 3 f is continuous for all 1 41 55 038 100 points Which one of the following could be the graph of f1 39 10g23 1 39 when dashed lines indicates asymptotes trevino c0t243 My Custom Review miller 91432 8 V p O39 100points Determine lirn 412 4a2 w gta 14 16a4 when a 75 0 1 L 5a2 2 0 3 nonexistent i H 2 a 5 1 a2 rlgt 040 100 points Which of the following forms are undeter mined A 001 B 05 C 10 041 100 points trevino cot243 My Custom Review rniller 91432 Suppose that f is de ned for all 1 in U 4 5 U 57 5 and that lirn f L x gt5 Which of the following statements are then true A ifL gt 0 then J gt 0 for everya in U B if gt 0 for every 1 in U then L 2 0 C ifL 0 then H 0 for everya in U 1 eachofABC 2 noneofABC 3 AB only 4 AC only 5 B only 6 B C only 042 100 points Below is the graph of a function f A Use the graph to determine lirn f x gt4 1 limit 9 2 limit 8 3 limit 6 4 limit 14 5 limit does not exist 043 100 points If f is continuous for all 1 and 6 7x 3a2 T 3 ms H3 we what is the Value of f 3 1 f 3 11 2 f 3 13 3 f 3 7 4 f 3 11 5 f 3 7 6 f 3 13 044 100 points Determine which if any of the following pE 16 12 4213F3 h1 64 16m de ne the same function 1 only f h 2 none of f g or h 3 only g f 4 only g h trevino c0t243 My Custom Review rniller 91432 5 f g and h 045 100 points If f is de ned piecewise for 1 7E 0 by 3 5 1 alt 2 2 3 2 alt0 lt 21 or 0ltx 2 1 2 3 1 a 1gt2 2 determine all Values of a at which an fltwgt exists expressing your answer in interval no tation 1 00 2 U 2 00 2 00 2 U 2 2 U 2 00 3 00 2 U 2 0 U 0 2 U 2 00 4 00 2 U 2 00 5 00 2 U 2 0 U 0 00 7 00 0 U 0 2 U 2 00 10

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