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8. The upward vector surface element on the top half of x 2 + y 2 + z 2 = a 2 is ˆ N dS = 2 x i + 2 y j + 2 z k 2 z dx dy = ± x i + y j z + k ² dx dy . The flux of F = z 2 k upward through the first octant part
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This note was uploaded on 03/08/2012 for the course MATH 120 taught by Professor Onurfen during the Spring '12 term at Middle East Technical University.
- Spring '12