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.
- Fall '07