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9. The upward vector surface element on z = 2 - x 2 - 2 y 2 is ˆ N dS = 2 x i + 4 y j + k 1 dx dy . If E is the elliptic disk bounded by x 2 2 + y 2 = 1, then the flux of F = x i + y j through the required surface is ZZ F • ˆ N dS = ZZ E ( 2 x 2 + 4 y 2 ) dx dy Let x = √ 2 u , y = v dx dy
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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