x2-day2 - Exam 2 Day 2 MUS—001 Fall 2009 NamaL:1 f9 1...

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Unformatted text preview: Exam 2, Day 2, MUS—001, Fall 2009 NamaL :1: f9: 1. Suppose that for a function f (:13) we know the following: (a) |f”| < 10 on the interval 0 5 :1: S 2. 0-05 5-059 4 . 0.10 6.080 (b) If( ll < 14 on the Interval 0 g 9: g 2. 0.15 6.099 (0) f (59) has the values as shown in the table at right. 020 6.126 Compute I; fix) tin: with error no worse than 10”. Show work that 3:3 2:33 proves your computation is sufficiently accurate. ' ' 5 0.35 6.252 __ (/4 ) ( z) I 0.40 6.309 / 7:5 / s .__..____. 5 0—0“ 0.45 6.375 #70 17 l / 0.55 6.529 0.60 6.619 / 5/ [z ‘) /d a '1 0.65 6.716 f /7 0.70 6.822 #90 0.75 6.936 _ L 0.80 7.058 3 7 5 I? /7 ” / 0.35 7.139 0.90 7.329 0.95 7.476 X i 1.00 7.633 5 4? [5959M 716(5):? Zfflit 7H?) 1“ 1%)] 1.05 7.797 1.10 7.971 1.15 8.153 1.20 8.343 I 1.25 8.541 '2. Z 4.0651- H<QLH§3 + 267.493)?“ 7(7652) 1' 1231’? 1.30 8.748 1.35 8.963 1.40 9.185 1.45 9.415 fi- l l 1.50 9.65? S 2 . 974M» 2: M. 3;?! I 1:60 10.147 2. Consider the graph of y = 1 /;1: on the domain 1 S :r: < 00. If this curve is revolved about the m—axis as shown below it forms an infinitely long object. (a) Set up, but do not evaluate, an improper integral for the volume of this object. (b) Set up, but do not evaluate, an improper integral for the surface area of this object. Is the volume finite or infinite? Is the surface are finite or infinite? )’ )s‘ I ’ EH '1 :: + “- _ 1.“ 1- \ I K *1 l N Ax ' / . 01): = )5. l x 1' ...
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