math-124-2009-t2-midterm-2 - MATH124 CALCULUS II for...

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MATH124 CALCULUS II for EngineersCourse Section:Midterm 2(50 pts)March 25, 2009Pleaseprintnames and IDs inink:NSID:Family Name:First Name:Student ID:INSTRUCTIONS:1. Time Limit: 80 minutes4. Closed book. Closed notes.2. No cheating. No calculators.5. Write clearly & legibly.3. Simplify all answers unless otherwise instructed.SECTION Ih30 ptsiSolve each of the following questions.1. (6 pts) Evaluate the given integrals, or show that they diverge:(a) (3 pts)Z21(x-1)3dxZ1(x-1)3dx= limb→∞Zb1(x-1)3dx= limb→∞-12(x-1)2b
(b) (3 pts)-1x+ 1dx=Z01Z010
2. (4 pts) Find the volume of the solid obtained by rotating the region bounded byy=cosx,x= 0,y= 0,x=π2, about thex-axis.Zπ/2Zπ/2

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