math143 f06 quiz2

math143 f06 quiz2 - 'd, ,a x=t* S= L{t- b3 KaO, b'o tohen...

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? / Name Mathematics l4g-10 Quiu No.2 Tuesday: October S, 2006 Consider the curve defined parametrically by Jc =tZ y =4t -t3 z(= ,Z 1. Find the area A= by the loop (-2 < t < 2). xdf bounded bv tl #rr" / 2l / 4, 2- 1=tf, //x 4= 4= 4 4 G*^ft)c*)d{- -Z- ^ -a- {(*Lt,)dt= , B#-fl' q (?-?) s /4(t-j) =ryL
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tri. .?* du 2. Set up, but do not evaluate, a definite integral which represents the length of the curve from (O 0) to
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Unformatted text preview: 'd, ,a x=t* S= L{t- b3 KaO, b'o tohen b=o X- l,,r1=3 o6trrevr b=\ c., a=B&quot;b 3&quot;= t{ -3f ( q-a\ [u-r $ tb-{as +t 3. Set'up, but do not evaluate, a definite integral which represents 16 .tz+3- lz+'+ f y'z_ rpresents'the surface area if '+ fy''-\A b the arc W (0, 0) to (1, 3) is rotated about the x-axis. g= Juof 1ffilerr JI db s *{&quot;(utruq Ws&quot; t \r'e o\ u \)o...
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math143 f06 quiz2 - 'd, ,a x=t* S= L{t- b3 KaO, b'o tohen...

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