MATH 127
A3sol

# A3sol - Math 127 Fall 2010 Assignment 3 solutions Page 1...

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Unformatted text preview: Math 127, Fall 2010 Assignment 3 solutions Page 1 . Answers to Part A problems: Question 1 2 3 4 5 6a 6b 6c Answer −7 ≤ x ≤ 7 or x ∈ [−7, 7] log 35 (any base) log 25 2 125 √ −29 − 4901 70 0 < x ≤ e2 or x ∈ (0, e2 ] 2 f −1 (x) = e2−x x≤0 # marks (total 10) 1 1 2 2 1 1 1 1 Brief solutions to Part A problems: -,~--~,~- 1(a). -,~--~,~- '3>~3? r.Vl>,____ 3 <kj' ._____ .~_~---.--.-__if:UZ~~ ' __ _ :F {xJ =- Je-:L'i- 1-. VDMal~ ~ ( _lil. ?<- ._. _~oA- eX - / ~ 0 sue'" ~ sue'" ~ x2~A(C) :F {xJ =- Je-:L'i- 1-. VDMal~ ~ ( lil ?<-eXl.~ I ~oA- -eX - / ~=00. - rio, i.S a (w<J.j" + rue . . s . +1..... d~ eXl.~ I ZlOtR.)orl-t<1«~ o""Cl'",~ -x2~A(C) = 0. .. -.~_ _ _ _~e:.._1J_L_3~-Z 2. 2. .. -.~- J~(s ~) ~(2') j1A('2 ~:J Math 127, Fall 2010 J~(s ~) ~Assignment 3 solutions ~:J (2') j1A('2 . rj2)(LJ) B problems: sk(~) (i:sJ(k~ Solutions to Part rj2)(LJ) '3>~3? rVl>, 3 <kj sk(~) (i:sJ(k~ __ _ _ _ _~e:.._1J_L_3~-Z Page 2 if ':UZ~~ . ___ . ____ . _. _ _._____ .~_~---.--.-' - rio, a (w<J.j" ..IW(l:jf.l KaV\~: i.SJ (:') ~ 0 o+ rue . . ~ .s s . +1..... dra~ tS .sf(x:) ~01 +L- o""Cl'",- ZlOtR.)orl-t<1«~ o~ ( or­ SD Cd) Cd) KaV\~: J (:') ~ 0 1(b). o..IW(l:jf.l SD +L- ra~ tS -001'00.)). aV­ <d:J ( or­ -001'00.)). f(x:) ~01 aV­ o~ <d:J .~ MoV'<2..­ -f t"€.G-~ l~:L 0 < l-::z '2. ~ '2. I• -Thevt, -f t"€.G-~ l~:L 0 < l-::z ~ I • MoV'<2..­ -Thevt,CO < ~((-;(j \$ ' A (O ~O \.....r-J - CO \.....r-J < ~((-;(j \$ ' A (O ~O 1. '-tt <: I I ~j =1,t.{u)-tt 0 1. ') =1,t.{u)) ~l. ~l. ~j 0 <: I I 2(a). Math 127, Fall 2010 Assignment 3 solutions Page 3 ex -I r-lr~+1 we s ke+ch e X a",d 5~,-ff dowr'\.­ i -: -- - -1 2(b). dib) Ka~k '3 h2 } 2) 2 '3 v I n i'yt c t"IeCl S't vt3 f1(.fitV1 c rck.r. ' IdeCl: i ak.e ~€ ~ o f eo-el~ [tll's+] A (J ~2) = ~~) (k3) " 3-fo-:2 ~LQI'-J.J h ( ~ 3 ) r~fd.J h er .~ r<..{.Les Ij 1\ fI rl>J (°3 il k{'J~1) =: ~3)(l1Al) c. f, S' o! if f" ,''' cd! ~ ( M Do/'€. ~~tf'd Y\ uWlhers a re ~~\Aa.r) S'ttlCe..­ h(\:= ~b ~~ Q::::: b. it(k,+ \ >J 3 ~2. :::. :2 ~3. aM J J ~e I -P", s f S ,'1'\ ce. e" > 3 (0 bvioU> 3"> k 3 J ,t. Co <J re I'<JZ».\ k r e ~ :l.1)} ~j(Qw> 3(a). 4 aJ 4 •.\$ ~ i~ce. ~() 0" (o.-l<..- "UJ ~ 0 I't cI U S ib", : 3)..:2_ ;/",.>.< ';1'3. ,S i+ ~I1C1: C tl'\ ( k.CreClsf"j - Math 127, Fall 2010 Assignment 3 solutions Page 4 3(b). 4. 5. Math 127, Fall 2010 Assignment 3 solutions Page 5 6. Math 127, Fall 2010 Assignment 3 solutions Page 6 Acknowledgements: Prof. Bev Marshman created many of the problems and wrote many of the solutions. Clinton Loo provided solutions to the part A problems. ...
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