MATH 1B Midterm: MATH 1B Exam 1 Fall 2004
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100: you have two hours for this exam, please show all your work on this exam paper. Clearly indicate your line of reasoning in order to get full credit: no calculators are permitted, think clearly and do well! Mwf 12:00 weiyang qiu: (15 points) your roommate tosses a water balloon lled with mud from your dormitory window into the. Quadrangle, making a nice circular splat on the sidewalk below. The density of mud on the sidewalk is e xg/cm2, where x is the distance from the center of the mud splat. Consider the region r bounded by y = ex, the x axis, the y axis, and the line x = 1. Rotate r about the vertical line x = 1. Write an integral that gives the volume of the stand. (you need not evaluate. ) 1 (b) a stand for an urn is also going to be constructed.
