MTH 162 Midterm: MTH 162 University of Rochester 162 Exam2 Fall2007
31 Jan 2019
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Indicate your instructor with a check in the box: Mwf 10:00 - 10:50 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. Sketch s, along with a typical cross-section of s, and nd the volume of s using the washer method (also called the cross-sectional method. ) Math 162 (calculus iia: (16 points) again consider the functions y = x2 and y = 3x. (a) let s be the solid obtained by rotating the region bounded by the graphs of these functions about the y-axis. Sketch s and nd the volume of s using whichever method you want (washer method or cylindrical shells. ) Math 162 (calculus iia: (10 points) a rectangular swimming pool is 10 meters long and 4 meters wide, the sides are 2 meters high and the depth of the water is 1. 5 meters.
