nt8 - x 2 + y 2 + z 2 = 9 and outside the cylinder x 2 + y...

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MATH 23 Homework 8 due March 26, 2010 Non-Text Problems: 8-1. Find the volume of the solid which lies under the graph of z = x 2 + 4 y 2 and over the triangular region in the xy -plane having verticies (0 , 0 , 0) , (1 , 0 , 0) and (1 , 2 , 0) . 8-2. Given Z 9 0 Z 3 y sin x 3 dxdy reverse the order of integration and evaluate the resulting integral. Include a sketch of the region. 8-3. Find the volume of the solid which lies inside the sphere
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Unformatted text preview: x 2 + y 2 + z 2 = 9 and outside the cylinder x 2 + y 2 = 4 . (Use polar coordinates!) Text Problems to turn in: Friday, March 26: 15.2: 4, 7; 15.3: 8, 12; 15.4: 8. Text assignments for the remainder of the semester (main and complete) through 16.4 are posted on blackboard....
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This note was uploaded on 03/26/2010 for the course MATH 23 taught by Professor Yukich during the Spring '06 term at Lehigh University .

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