MTH 162 Midterm: MTH 162 University of Rochester Fall 09Exam1a

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31 Jan 2019
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Indicate your instructor with a check in the box: Mwf 9:00 - 9:50 am: the presence of calculators, cell phones, ipods and other electronic devices at this exam is strictly forbidden, show your work and justify your answers. Math 162 (calculus iia: (20 points) (a) (10 points) Find a partial fraction expansion for the function. Math 162 (calculus iia: (20 points) consider the curve y = x3/2 (a) (10 points) Calculate the arc length function starting at x = 0. Math 162 (calculus iia: (b) (10 points) Calculate the arc length from x = 4 to x = 8. 2 x, so by substituting u = 1 + 9. 27(cid:16)19 19 10 10(cid:17) : (20 points) consider region between the curve y = sin2 x for 0 x and the x-axis. (a) find the volume of the solid of revolution about the x-axis. Math 162 (calculus iia: (b) find the volume of the solid of revolution about the y-axis.