MATH 251, Section Quiz 9 (Sections 13.6, 13.8). Thursday, Oct. 28, 2010

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MATH 251, Section
Thursday, Oct. 28, 2010
Quiz 9 (Sections 13.6, 13.8).
Dr. M. Vorobets
NAME (print):
Due Tuesday, Nov. 2 at the beginning of class.
No credit for unsupported answers will be given. Clearly indicate your final answer.
1. [5 pts.] A lamina occupies the region inside the circle x2 + y 2 = 2y but outside the circle
x2 + y 2 = 1. Find the center of mass if the density at any point is inversely proportional
to its distance from the origin.
[more problems on back]
RRR
2. [5 pts.] Evaluate
zdV , where E is bounded by the planes y = 0, z = 0, x + y = 2
E
2
and the cylinder y + z 2 = 1 in the first octant.
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