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Anonymous Student Zhu MAT 266 Spring 2015 Assignment Section 7.3 due 03/02/2015 at 11:59pm MST 1. (1 pt) Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y = 1 / x 6 , y = 0 , x = 1 , x = 6; about the y -axis. Volume = Answer(s) submitted: (incorrect) Correct Answers: 1.56958429259212 2. (1 pt) Use the method of cylindrical shells to find the volume gen- erated by rotating the region bounded by y = e - x 2 , y = 0 , x = 0 , and x = 1 about the y -axis. Volume = Answer(s) submitted: (incorrect) Correct Answers: pi*(1-1/exp(1)) 3. (1 pt) Find the volume of the solid obtained by rotating the region bounded by y = 2sin ( 8 x 2 ) , y = 0 , quad 0 x r π 8 , about the y axis. Answer(s) submitted: (incorrect) Correct Answers: 1.5707963267949 4. (1 pt) Use the method of cylindrical shells to find the volume generated by rotating the region bounded by the curves y = 4 + 3 x - x 2 and y + x = 4 about the y -axis. Below is a graph of the bounded region.
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  • Spring '08
  • FARISODISH
  • Calculus, 1 pt, http://webwork.maa.org, Mathematical Association of America

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