midterm3 - EXAM 3: FALL 2008 M 305 G EXAM A NAME : PLEASE...

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Unformatted text preview: EXAM 3: FALL 2008 M 305 G EXAM A NAME : PLEASE SHOW ALL YOUR WORK PLEASE WAIT FOR ME TO ANNOUNCE THAT YOU SHOULD BEGIN THE TEST BEFORE TURNING THIS PAGE EXAM 3: FALL 2008 305G EXAM A (1) (10pt) Solve the following equation for x. (Hint: Let y = 2m.) 4x+2m+h12=0 1% X+l Q7( 0:): 4' 4729:2112 9“ “3’2?” yd beij (2) (22pt) Let =10g3(923 — 18), 9(23) 2 10g3 (1?. a) (3pt) Find (fog)(27). flew/L73) 2—,, PA @317): {3(3): 113039 :2 b) (3pt) Find the domain of ofix—I 1% >0 fie) X>1 2M6: X)‘Zj C) (8pt) Find the inverse of flan), and check your result by (fOf—lxm). :3: lggkqx 48') Ghee gondtx) X; 163/2) QQJ’W) l<§3K9(3213")J8> >< ’18 ' x N (5 ’: igaHg : ‘59?) (5 ,X V (3) (10pt) Solve the following equation for ac. (Hint: Take the logarithm of both sides.) 3x5 2 63cc+1 (4) (9pt) Let P = (—5, 12) be the point on the terminal side of an angle 6’ in standard position. Find the exact values of: a) (3pt) cos9= (L (L g ,5 L 'L '1— ‘g’L‘JIL :_ ( .3) 'X ‘93 >( 53 LS x A , ,__. I [/3 , .11 b) (3pt) tan9= 2.: )C ‘3 c) (3pt) (3800 = "’ l: ‘/ (5) (10pt) Graph f(2:) = 3sin(§x). i g ‘2' A[ 7& "2/ 234 (6) (16pt) Let 1%) = 2sin—1(3x+ 1). a) (8pt) Find the inverse of flat), and check your result by (f0f’1)(a:). ( 35:. W0 deck H2023?” $3 : gh 2 aniggzfi’ : 9—334 7/ I \j I iii; \ 3 b) (8pt) Find the domain of fix) and f“1(a:). 4 I Q} ,QKX) . (8) (12pt) Find the exact values of the following expressions: a) (4pt) SlIl(SlIl—14) = E/QSfll-S ‘ %”>\ (Q / Clgmrn @Q EWJ f3 Ufa ...
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This note was uploaded on 10/25/2010 for the course M 305G taught by Professor Léger during the Fall '08 term at University of Texas at Austin.

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midterm3 - EXAM 3: FALL 2008 M 305 G EXAM A NAME : PLEASE...

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