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Unformatted text preview: BB Midterm II Spring 2006
May 25, 06 Instructor: G. Wei Discussion time (circle one): W San: ; W 4pm; W 5pm; W 6pm; W 7pm
Total Score: 100
Your Scores: 1‘ 2., ,. 3. ....... H 4. 5. Your Total You may have a 3 by 5 card but books and other notes are NOT allowed. Continue on the back of” the page if more space is needed READ the problems carefully
No calcuiators are allowed. 1‘ (60 pts) Find the foilowing integrais‘ (a)$55i11(:c2)d:13 (c) f 2 31112 :n (2033 mdcc
. o 1r
5 go (Mil/X MLX 5935(5ng a: (ﬁx
/ a/crséosmf’
:g (/{1({’HL} phi X
r . l 9,.
w [a (M «r— M Ma.
W ‘ 3 c: '
w <§ M — 22"” M
.., “L. M
“'" 3 "cl: “‘9 W
(3!) cos(3$)ff;d_$’
u— lv 1
H55 542x) ~—§%€,K('m?/Vj23 4%
“I, W 3 " ’4‘
2 6 Max) +3 e .{asx/[J56L’73zdzxp/j ww 3 LX J
2, a mu) +3; 1rnew~r£felwxw 2" (10 pts) Find the average value of the function ﬁt) m 155111052) 011 the intezval
[0,101‘ 3. {15 pts) A force of 30 N is required to maintain a spring stretched from its
nature} length of 12 cm to a iength of 15 cm How much work is done in stretching
the spl'ing from 12 cm to 20 can? fka ,_ WW X 4% a; WV’MJ {’6 S#%/M" wlm X7{/§'—/Z)0’m eBM 2" 0.05m flaw/y 4‘ (15 pts) Find the volumes of the solids obtained by Iotating the region bounded
by 'y = sin 3, 3: = 7r/2, :1: = 7r, y = 0 about the xwalxis and y—axis respectively. ...
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 Fall '07
 RickRugangYe

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