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LnWorksheetSol - 7.2 Worksheet Name M 1 Draw the graphs of...

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Unformatted text preview: 7.2* Worksheet Name: M November 13, 2007. 1. Draw the graphs of the following equations using your answers to the following ques- tions: y=1n(:c) y=ln(x+2) Ifln(:c)=0,:1:=l Ifln(m+2)=0,x= ~| Ifln(:1:)=1,:c= e Ifln(a:+2)=l,x=e-L Ifln(a:)=—oo,a:=o Ifln(m+2)=—oo,m= ‘2. Write the following as a single logarithm and do not simplify any further. You may use your book or notes if you forgot the log rules. '4 (a 5\_ - [A (“3 4. laC ‘) 2.2ln(z)+ln(5+m) ' l“ (-H = In («i-(db) '1' lux‘h-la (5hr) '— ‘Ud‘l: lua‘) 3. 5ln(:r— 4-) ln(m2) r -~n = l ((x- HM) -\.(‘)= l (V (A) g l” (4:) 3‘ [4(a’l) 4. Does ln(3ar:4 )— — 41n(3) +41n(a: )? N2 , Maw): |.c3)+1-cw)- 1,433“wa ‘IlemJ “IA 5. Does 133;) =1+ln(y—m)? No my). MW 1...): b.9131 "31" 1+ Me's l+ Lev->4 1 “a” -— W My) luv) (nu) Solve for x. 1 6. ln(m—3) = 5 1' => 2'»(x~3)=l <—> In 8-fcw==hm&%) ‘ , SMART wm the”)? = Dr! : (1‘ ' o l: —‘-—-.—L 4'... ”.l l = l ACCEPTABLE tubal?” f4, (:ka X‘V 5,): -y5r‘ ;.é':la£c 9.f(a:) = mln(:r) p'=cxj‘lnu)+>r[(~M]"CxJ’= 1m) Half-I = lacuna :- 1 + m2 cos2(a:) PM= haw) ' laCLxu‘QD: luClW‘)-Zln cloc\:_L_ ,1» __ 2-.L fSMCH = 3: ¥ 2 sum) l 49:" C 03 or) H~ y 7- LoJC k) 10. f (x) = ln ( ) (Simplify before taking the derivative.) ((c:z~)l Calculate the following integrals. ‘ 1 .1. 541 = l ( 7' l +C 11./2m+3dx r. g u ~ .7... vi 1‘60“” 6 ’4 dz*+3b U:2X+3 La ‘14.» -Ju Av g2— 12 /1€$3+$:+2dw’fx +_\l;4z sin(ln(a:)) {E dm 13. Easy Challenge: / (Jaw/M) . n U JV‘ C E | LU g‘élk ‘Séizf—J' Y = [VHC‘OJU = “C0: lack» K cl»: kéu ...
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