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Unformatted text preview: 3B Midterm I Winter 2005
January 26, 05 Instructor: G. Wei Sip/“MM Name
Discussion time (circie one):
W 613111; R 8am ; R 4pm; R. 5pm; R 6pm; E 713111
Total Score: 100
Your Scores: 1. 2... 3.. 4. 5. . You}: Totai Books, notes are NOT allowed. Continue on the back of the page if more space is
needed. READ the probiems carefully. No calculators are ailowed. 1. (14 pts) Find the derivative of the function.
(a) f($) m I: 3111(32)d3. £3 %MWM idem a; Mow/s
W 2. (40 pts) Evaiuate the following integrais (a) Mfﬂdu
1 _,.L
if (u 1 WW
I
Jz' L ? 2. $(2§*7)~——(gw[)
21/;75'
(b)]§y2\/1+y3'dy S
7 i “Eur/7W, Mutiyldg
5 {é— M " pm
'I
_—~ "L l I? :1 f2,
3 3 i “f
(c)_[C°5(l,”)da: (:{Lf H 3 ﬁx 467M ‘5 thua/u :: (7,1147%:
7—: rl’h([vw\’] C
(d)[sinmcos(cosa:)da: q :: éﬁx 5/” :2 ~— 73,“ X a/X.
:(Mufwdaw) =2 «mt/+C 3» (16 pts) A particle moves along a line with velocity function v(t) m t2 ~15, where
'u is measured in meters per second. Find (a) the displacement and (b) the distance
traveled by the particle during the time interval {0, 5]. ﬁx) (DRF(WWM ﬂow/fr? 574% ﬂ‘L‘I’WV’j [29; f 3; §T(tie)ﬂt :(%fam%fl /r H we): £5 f: f(rw0 4" (15 pts) Find the area enclosed by the line ymx and the parabola y2 m 12 — 451;" {Druﬁém #113 «ﬁ‘wf fafMwlgd WM Y13 {Z «(F/y
XL+ (1")(“(2,: (X+é)(_xwz) 5, (15 pts) Find the vohnne of the solid obtained by rotating the region bounded
by y = 23:, y = 3:2 about the y—axis (a/msq: {w M £4. MMng ﬂ Mg»)
_. (F A; ‘f y1
V“ WW ‘1“ M (an9:) 4:}
,. 90L 2V s6
can "4’: ~73: / :éﬁf ...
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This note was uploaded on 12/27/2011 for the course MATH 5B taught by Professor Rickrugangye during the Fall '07 term at UCSB.
 Fall '07
 RickRugangYe

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