10m2-white-solutions

10m2-white-solutions - MATH 313 Midterm # 2 Spring 2010 May...

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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 J Xrfidk7flX “:”L if flux-4r : {X WW") X5” :2 45S.le 5 will: (41mm +{[ 21/! £614 0M ;’%MWM+€UWM"[”W%” :[email protected] 1;. L 1. 2 1 swér MX %y1flx +éflx fa W _ 31X MW‘KY 5 [2%3Xfif7nS/‘rj % c; ...
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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.

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10m2-white-solutions - MATH 313 Midterm # 2 Spring 2010 May...

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