APPM 1360 Midterm: appm1360spring2016exam1

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31 Jan 2019
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On the front of your bluebook, please write: a grading key, your name, student id, your lecture number and instructor. This exam is worth 100 points and has 6 questions on both sides of this paper: submit this exam sheet with your bluebook. However, nothing on this exam sheet will be graded. Make sure all of your work is in your bluebook: show all work and simplify your answers! 1 t2 8t + 20 (x2 1)3/2 dx sec2 x. X: (10 points) is z /4, (20 points) for this problem let i = z 4. Fully justify your answer. (a) estimate i using the trapezoidal approximation t2. 6 . (a) sketch this region. (b) find the volume of the solid generated when this region is rotated about the x-axis. Turn over - more problems on the back: (12 points) unrelated, short answer questions. (a) write the partial fraction decomposition of coef cients. 1 f (x) dx diverges, then z 1.