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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. 005 5059
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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 Fall '08
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 Calculus

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