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Math 2260 HW #3 Due 10:10 AM Friday, January 25 Reading: Hass §6.3–6.4 Problems: Do the assignment “HW3” on WebWork. In addition, write up solutions to the following problems and hand in your solutions in class on Friday. 1. Consider the following region: 9 8 7 6 5 4 3 2 1 y x2 y2x 1 2 3 (a) What is the volume of the solid generated by revolving this region around the x-axis? (b) What is the volume of the solid generated by revolving this region around the y-axis? 2. Suppose an ant travels along the floor on a path which can be closely approximated by the 3 1 curve x = y3 + 4y from y = 1 to y = 3: 3 2 1 2 4 6 8 The ant keeps track of the distance he walks in an exercise journal. Assuming all lengths are in centimeters, what distance should the ant put down for this journey? 1