10pm2 - R 8am 5pm 6pm 7pm Lacey Huebel T 8am 5pm 6pm 7pm...

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For the upcoming midterm, you’ll need: 1) a blue book; 2) a stapler; 3) remember your TA’s name and section time; 4) a picture ID. The following instruction will be on the real midterm: Books, notes are NOT allowed. No calculators are allowed . READ the problems 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 blue book; staple only once at the upper left corner (one bonus point for doing this the correct way). The following will appear before the instruction on the real midterm: Print Your Perm Number Name Circle your TA’s name and Discussion time: Brent Albrecht
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Unformatted text preview: R 8am ; 5pm; 6pm; 7pm Lacey Huebel T 8am ; 5pm; 6pm; 7pm Grace Kennedy T 8am; 4pm; 5pm; 6pm; 3B Practice Problems for Midterm II Spring 2010 Instructor: G. Wei 1. Find the following integrals. (a) R (ln x ) 2 dx (b) R x 5 e x 2 dx (c) R ( e-2 x sin 3 x ) dx (d) R √ 2 / 2 x 2 √ 1-x 2 dx 2. Find the average value of the following functions on the given interval. (a) f ( x ) = cos 4 x sin 3 x, [0 ,π ]. (b) g ( r ) = r 4 ln r, [1 , 3]. 3. Find the volume of the solid obtained by rotating the region under y = sin( x 2 ) from x = 0 to x = √ π about the y-axis. 4. A tank full of water has the shape obtained by rotating y = x 2 , ≤ x ≤ 2 around the y-axis. Find the work required to pump the water out of the tank....
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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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