Midterm 1 Key (Blue and Purple).pdf - Math 2B Midterm 1...

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Math 2BMidterm 1April 24, 2017Calculators, notes and books may NOT be used.Be sure to show your work and box your answers.ProblemScore1/122/113/274/10Total/60Name:Student ID:
1. Consider the definite integral-2(x2-2x+ 2)dx.(a) Estimate this integral by using 3 rectangles withright endpoints.(b) Estimate this integral by using 6 rectangles withleft endpoints.(c) Use the fundamental theorem of calculus to find theexact valueof this integral.Z4
2. Calculate the following integrals:(a)Ze12w2+ 1wdw(b)Zcosz(3 + sinz)2dz(c)Z80p64-x2dx
3. The region R is located between the curvesy= 4-x2andy= 4-2x.(a) Give a sketch of the region R andlabel all intersection points.(b) Set up but do not solvethe integral(s) representing the area of R usingdxintegral(s).(c) Set up but do not solvethe integral(s) representing the area of R using

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