math-124-2009-t2-midterm-1 - MATH124 CALCULUS II for...

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MATH124 CALCULUS II for EngineersCourse Section:Midterm 1(50 pts)February 11, 2009Pleaseprintnames and IDs inink:NSID:Family Name:First Name:Student ID:INSTRUCTIONS:1. Time Limit: 80 minutes4. Closed book. Closed notes.2. No cheating.5. Write clearly & legibly.3. Simplify all answers unless otherwise instructed.6. No calculators.SECTION Ih14 ptsi1. (2 pts) Evaluate the sum100Xi=12i+ 1100100Xi=12i+ 1100=100Xi=12i100+100Xi=11100=150100Xi=1i+1100100Xi=11 =150·100(100 + 1)2+1100·100 = 101 + 1 = 1022. (3 pts) Express the integral3(1 +x)23dxas a limit of Riemann sums. DO NOTZ1
3. (3 pts) Compute the average of the functionf(x) =2xon the interval [1,4].
4. (3 pts) Use the Fundamental Theorem of Calculus to findF0(x) whereF(x) =Zxsin(t2)dt.

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