Fall 2012 Final Soln - Math 1910 Final Exam Solutions December 6 2012 2:00 PM to 4:30 PM 1(5 points The decay constant of cobalt-60 is 0.13\/year Find

Fall 2012 Final Soln - Math 1910 Final Exam Solutions...

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Math 1910, Final Exam Solutions December 6, 2012, 2:00 PM to 4:30 PM 1. (5 points) The decay constant of cobalt-60 is 0.13/year. Find its half-life. 2. (12 points) LetRbe the region belowy=e-xabove thex-axis, and to the right ofthey-axis.(a) Evaluate the volume of the solid obtained by rotatingRabout thex-axis. (b) Evaluate the volume of the solid obtained by rotatingRabout they-axis.
3. (10 points) Find the power series aboutx= 0 of the solution to the differential equationy0=xy, wherey= 1, whenx= 0.

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