10pm1 - Instructor: Prof. Wei 1. Find the following...

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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 this 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 R 8am ; 5pm; 6pm; 7pm Lacey Huebel T 8am ; 5pm; 6pm; 7pm Grace Kennedy T 8am; 4pm; 5pm; 6pm; 3B Practice Midterm #1 Spring 2010
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Unformatted text preview: Instructor: Prof. Wei 1. Find the following integrals. (a) R e s cos( e s ) ds (b) R 1 4 x 3 x 2 +4 dx . (c) R 1 ( 4 u + 1) 2 du . (d) R e x x dx . 2. Find the area of the region enclosed by the line y=x-1 and the parabola y 2 =-2 x + 5. 3. Find the volume of the solid generated by rotating the region bounded by the curves y 2 = x,x = 2 y about the y-axis. Sketch the region, the solid, and a typical disk or washer. 4. Find the derivative of the function. (a) f ( x ) = R x 3 t 1+ t 3 dt . (b) f ( x ) = R 3 x +1 2 x sin( t 4 ) dt . 5. A particle moves along a line with velocity function v ( t ) = t 2-t-12, where v is measured in meters per second. Find (a) the displacement and (b) the distance traveled by the particle during the time interval [1 , 6]. 1...
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