A1_quiz_sol

A1_quiz_sol - Math 128(Winter 2012 QUIZ 1(ver A...

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Unformatted text preview: Math 128 (Winter 2012) QUIZ 1 (ver. A) Wsolu-l-ions N O CALCULATORS are necessary for this quiz. Leave numbers in exact form, such as 5 + W, 41/3 — sin(%), etc. Solutions must be clearly stated and fully justified. You will have 30 minutes to write the quiz. 2 1. Evaluate f la: — 1| dx. Hint: Try interpreting it as an area, and/or consider cases. o >, 501213: 3.54:9.“ 3: area. s-Loww; $3,”: I E/(x‘fl) 1 ft 0 S lat-MW j-(x—oax + j («mu 1U Am "' ° 0 ' 0:5 I4 =: o o- = 1. 5 ‘1’?” J“ = Homa‘wm: 1. O 2. Evaluate the following. (a) /$2(1+$3)4 dm (L: [+131 50 du: 31.141. or lex:é‘Jw.) 3' Su,”('§:du)= -35-%5-+C = Té’(l+xg)s+ C H + p H a (X 8‘ § + (3 ll ‘53 3" ,1 3: + .0 (c) [mzsin(x5)dx =‘— O Smw “We, hate mnA IS an 0:“ fut/lobby», anal "Hw, intern/d is Sdmmkvfc. (d) é/fidt :— x} FTCCE. continue on reverse if necessary... unattfljwée'zvu‘ Math 128 (Winter 2012) QUIZ 1 (ver. B) W 3°[u.e,~b,‘s_ NO CALCULATORS are necessary for this quiz. Leave numbers in exact form, such as 5 + W, 41/3 ~ sin(%), etc. Solutions must be clearly stated and fully justified. You will have 30 minutes to write the quiz. 1 1. Evaluate f \/ 1 — 2:2 (1:3 by interpreting it as an area. 0 in“ (FEET, flew f= Sl’hce 3710, +110. Curve is just ’Hu. bal‘F o‘F (HA-L circle. iM-l-egml refinean area Show», which is = 2’5(7E(0‘)= 2. Evaluate the following. (a) /a:\/1+x2 d3: [Let (U? [+285 441.214 c114:- ZxJu. or Juliet-itch] 7‘ u. ({c‘u) 3/ ‘ 3/ 0L 1 ._ ___. 2 " = éju'flu = %——-,,t +6 - 30%) + C, (b) dx. Hint: e2z=(ew)2. [Let a; at). 4468“ dq=€xdx3 : : arcswu) +CL :: arcsin,(e")+ C . (c) _/:c2tan(a:5)da: :- O ('TLCI lMt-efif‘omct is an 044 «Fuel-nun. duel +110 intervml l5 SJ Mm-l-n‘c a: /t2dt -_- 1"- LJ FTC*1°_ 0 3 '1 c ntinue on reverse if necessary... 0 L): .4. t H _ fl 3 _ dx[/? 0’ out" '76" A e §|©~ ...
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A1_quiz_sol - Math 128(Winter 2012 QUIZ 1(ver A...

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