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Unformatted text preview: MATH 313 Midterm # 2 Spring 2010
May 19, 2010 Instructor: G Wei Total.w.v.v [4/ /7,’ 7014
Print Your Perm Number Name Wm
Circle your TA’s name and Discussion time: Brent Albrecht R Saw ; 5pm; 6pm; 7pm Lacey Huebel T 8am ; 5pm; 6pm; 7pm Grace Kennedy T 8am; 4pm; 5pm; 6pm; Books, notes are NOT allowed. No calculators are allowed. READ the prob lems carefully. Put ﬁnal answers in the boxes on this page. Put high quality
work in the blue book for all answers. At the end of exam STAPLE this page
to the INSIDE front blue cover of the blue book, so that the front side faces the
white writing pages of the biue book; staple only once at the upper left corner (one bonus point for doing this the correct way). 1‘ (16 pts) Find the volume V of the solid obtained by rotating the region under y r: en62
from cc = 0 to :r = 1 about the ymaxis. W'ﬂrwl , . sin3 a:
2 (16 pomts), Find the average value of m
) €084 m 011 the interval {0, 7r/4]. ) 3. (48 pts Evaluate the following integrals, (a) [19 (111:1: 2 4i. (20 pts) A tank full of water has the shape obtained by rotating y = émz, 0 g :3 S 2
around the y—axis, where the unit is in meters Find the work required to pump the water out
of the tank. (Density of water = 1000 lag/m3, and gravitational acceleration g=98 m/szv) Work o 0 Bum
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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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